Physics-
General
Easy
Question
Consider the following diagram The incident ray parallel to the optical axis passing through
![](data:image/png;base64,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)
- left foci
- right focus
- optical centre
- (b) & (c)
The correct answer is: right focus
Related Questions to study
physics-
A layered lens as shown in the figure is made of two materials indicated by different shades. A point object is placed on its axis. The lens will form.
![](data:image/png;base64,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)
A layered lens as shown in the figure is made of two materials indicated by different shades. A point object is placed on its axis. The lens will form.
![](data:image/png;base64,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)
physics-General
physics-
A prism of refractive index
is immersed in water of refractive index
. For the total internal reflection the correct choice is
![](data:image/png;base64,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)
A prism of refractive index
is immersed in water of refractive index
. For the total internal reflection the correct choice is
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJ4AAAB8CAYAAACYCQnyAAAGfklEQVR4nO3dz0sbaRwG8CfL/g+m8dAxKVpBmrt0DyLZbLC4l0BzWbYgFKW4a60noYoteAqtdOkmKxR22UsKHmpxkZoVD7t4zyK0lebHxZD/YvagaSdmkphkZr5v3nk+4MEk5n1jnnznfd+ZzARM0zRB5LGvpDtA/sTgkQgGj0QweCSCwSMRDB6JaBk8YzgIYzjoZV/IR1jxSASD1wduFXrH4JEIBo9EMHgkgsEjEQweiWDwSASDRyIYPBLB4PXIunDMReTuMXg9qpzVpLsw0Bg8BzCE3WPwSASDRyK+7vSA+sC5clZrGETXNy9u3+bl83fbZp0xHPSsTYnX2W+bdkMRVjwSEWj1he52aaVz/B/1jhWPRDB4JILBIxEdZ7X9yWMl9AN2AjZ3mVGs/vsO98Pu9oDU5HLFiyFdreHocRS4tY6jsxoqZzVUzo6xGi1g83Yc2yV3e0B9yC/BCLnzHgltasO4/3IdEyjg7QGTp6rD/RwQcOc9khvjhW/gpljj1Fke+7kUkneBk913KDv87GLBK2fT2EEUs99ykKeicjaND2s/IZ1IAYU3yDtc9LwL3n8bmLr4ArQxHMTUk3G8qnJyoaYS8rs4LwqxGSRdGBK5PKu1uLWOo/0FjFz8Ws7GMTUcxMTjY+zNN6dvkA6uHKS+WrXc45J/gc3xFVTCABBDIgXsPHmBw/ktTDvUtnfBu2RkPoPV3UlsdnhBKu+OcnqXmRe74K7yITnczyGZ2Pr8+3QiBbzOYT+/hemYM/0QXEAOIzIOAO9R1HxiW84u4U4oCCMUx0pW5sVaz/NSuVjWslXK4HkO2Ln3ZVhk3MsBAHb28471R3ByEcfcawCpFb3HefklLO6O4ZdqDZVqBqO7k7jjUfgMy5ga6BC4C+WDN8Da8efH1n9e3QWQ+wuHTnXObOF6aMi8HhpqdfcVHZiPrg19fq6mn4cHLf/Smfbd1bmPRfO374bMR9aXWfzVnLn2s/l3T8/XXb+6fq42fTu/b8icyRT77p9pmqbLY7zzPRdpdxtRV+kd3haimI1YbgvfwE28QbEETDtY6e0O9OxKKYM7tzdwEgDmQu8bd2da7sPTSRi7jRPFXohNLnyh+BEnGMfDhoBFMBot4LQI4FLw6kftWo9o7qTdkdFdCS9gr7rQ/X09YvDcFshhbjjXdPNEsQTEei95jgVOCIPnNjOFV1XrclEJ24lJnEbsQ9eu6g162KwYPDdFxjDRNJ4r4rQQxWik3R820ilwdQyem8JxzEY3GsdzpU/4gHEk2mxlrVWv/rtuGDxXhXF/OQXjWQaJyAKmwyVsP9gA1o5b7qnRsbrZUfp7tVqIbeGouITF20HMIYrkWvO+6VZLITp/r5YVzwMj81vYm99qul27D1kXlP1erXT7V9FrH/2yOW2HFc8jDFsjBs9lDJw9Bs8FDFtnrgavm32OOmDgrs6VyYVfZ2sM29U5WvHsAtfrm6H6rJbVrT+OBs/6Buha9Rg4Z7g2xtPpTWHYnMdZbRsMnHsYvEsYNm8weBcYOG/5/ugUv52BXaJNuw+yLw8SYHWT56tNrfSHib7QPnisbmrSNngMnNq0Cx43p4NBi+Cxug2egQ4eq9vgGrjgsbrpYWAWkO36YT3QdBAXVv3S5kAuINexuulF6U0tw6YvZS+ix9DpTb3g5Zcazt1rJDIoo4Tt5YzjV5chOUoF73A5COPH91j9x3Li55fAYmgSm7mP0Pzk8L6iTPDqZ4FP/nHpaj/hBexV/0RSrGfkBkWCl8fLJwXg1joe2F7AI4YHa2Ned4pcpMastvQJHwBMfB9veSbxkfn+zjJOalFjAdkEEAAmbB6n88KqX9pUdwE5vwTjXq7lBfVIP2qM8WIzSJrAyWlRuifkETWCd3FpSuTS2G6xZlLOxrHi3DXcSJgiwQOmnx1jNVrA5jfBpoAdLgexiAzSDl2ykuSpMcazKGfjmHpaaLgt+XuNodNMx+DVSRwWpftszy9tqjurJd9RZoxH/sLgkQg19ly0uU3nsY9f2rQbrrHikQhOLkgEKx6JYPBIBCcXPhvoS7TJBWRSBje1JILBIxEMHong5MJnA32JNrnngpTBWS2JYMUjEQweieDkwmcDfYk2ueeClMFNLYlg8EgEx3g+G29JtMkFZFIGJxckghWPRDB4JILBIxEtx3hEbmLFIxEMHolg8EgEg0ciGDwSweCRCAaPRDB4JILBIxH/Aw3kKNv3QMXZAAAAAElFTkSuQmCC)
physics-General
physics-
For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is
![](data:image/png;base64,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)
For a prism PQR the incident and emergent rays are parallel. The minimum value of refractive index of the prism material is
![](data:image/png;base64,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)
physics-General
physics-
When the prism is in the minimum deviation position (Figure). Choose the correct one.
![](data:image/png;base64,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)
When the prism is in the minimum deviation position (Figure). Choose the correct one.
![](data:image/png;base64,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)
physics-General
physics-
Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAASQAAAB+CAYAAACNm2zJAAAMgklEQVR4nO2dz0sc2RbHvz7e/5BGF2lbyBtB0ntJFiKNyJOZjRA34QmC6CKDaVwFZoIjzEpE3ptgIwQmZKPgZoYE8TVNFhlmbwg4L2C3mwT/C9+ibVO2VV11q+rWPffe7wcE6VM/Tp+693vPPXWreujy8vIShBAigL+ZdoAQQnpQkAghYqAgEULEQEEihIiBgkQIEQMFiRAiBgoSIUQMFCRCiBgoSIQQMVCQCCFioCAR7XQaMyiPlLDeVN+3VS+hXI/eMc5O7IKCRDTSxt5sCVObJ6n27jRmsHSQ3k7sg4JENFLB8tEFzt8/x4TqI9ztXTz5bRzz91PaiZVQkDzn9pSnifXhdNOr/Ghi/cH/8PToe9xLZSe28nfTDhD7aNVL8VOlR69xvl1Lefwt3PvjGNNo4yyFndgLBYkoM719gfNtPcfuNGZwNHuMrUo6O7EbTtmIHNq7eIFdbEUlVnF2Yj3MkIgyuqZsrV82cHiwgcPNPsOHxyhfny/aPv/rBcXKcihIRBldU7bbx21jb3YSP49HiVucndgGp2wE2H+LVhsA2mg13uIvdP/vNHbR6v3fNuce8QcKkvdUMVHdx9LDEubqZ6is7ODpQhWHi5N4ghlMA+g0/o0XKW9nteollB9u4OMQcLhYQnl2F51ra3eJQXl47Ur4iO8M8VdH/KZVXwO2dzA9aKPmGtaxw/oM0Q4zJK9p4+z0FGecjhEhUJC85gyf0j1mRogWKEi+U024HdMoUgCsIRFCxMAMiRAiBgoSIUQMTq/ULo+UTLtASGGcf74w7UJmmCERQsTgXVG7lzUlHU1Uttd57LS+qG7vui+q20v0ReX4tuFVhqQ6hUvbWCT5Ytp3Sb4Et7fZF1fFCPBIkHSO0lk6na2+JNleki/B7V33xWacLmoDt0ctmzqRVF9Ut3fZF9XtdftiO07XkHiXjfiEE4J16Ql3h+/kar87fOfWX5Hnd9E+KJYS/LPZbgve1JDyhJmXfhhjP3F6yqaDQR3FiZTZIOWREs4/XyjfOifuwAxJgbgCI0f19ITFjvH0DwpSQgaJEUfybPRnRIynv3gjSHGj7SB7llvSeZzfB3vcfqb9s91uC94IUlp8WwdSNFEdibH2Exa1B5C0ZtSzUbzUiCteM57+wQwpgjSdgZ1GnUExYzz9g4IUQh4jsytzel3ofnCV2Ik3gpS0KBglRkn3TzL98N0eFqustSRJ30+i3Ra8EaQk9F/U8kgp04V2pZHoIE3myXi6D4vaV/RnRmGNv78TDcqKuNo4nLRxYTz9gIKE7Cuw4/ZhJ+qSRVQYTz9w/n1IcSRp6GnqQlFZlu+kFRPG0w+8qSFlfVYq60pv00VNl+xprqUJe6cxg/JICetNlf2bWB/utpfy7C46AXvveL2/uUY7ZH+78UaQ+onNjNq7mBvuNqasx/edvOo/9kzV2tibLWFq80Rpr1a9hPLIYxwuvMb55wucH61iNGCf+gl49v6ia/v8J779bfKGKLmANzUk5dvK7V3MPdjAN68usFVTO2YU9nSofOm9ViSvY/UQH88EbahHq17C0n4Vz/44xnIlwn76HO8CItVpzGDq0zrOt2MObhHOZkjB1DbVGpfKKt58iW9IUccN/vlM3pliHvFs1Uso14Opb3ealDYbzkxzDUsHwPyrcDECgOnZBeDDBp5cZ0RNvPhpHC8dEiPA4aJ2ke8riuskvYJsnpmCDei+VV9kPFv1EpYOYjZ69DpFttLG3vY+cP857h2VUF68+vj+zWwItR28++EUU5uTKG8CuFzAyy87mFY8m3SczZD6US5K9tWQlPZPUX+SWJTNwx724HHW46cZbOLsh0MDzVg6uJ359mfBg8Qo8vztY/x+AuDDBjB7dbz3zzFxsoGpQBZXHilhdGUXz+73PjnFWaB85ErN0gtBCmvMA0fW5hrKDzfwMaaRZvXFZYr6nm7EswoAWO7pWWUV//mxCuxvYS8gOuvDq8CLbkH7WfUEPz80OM3UhPOClLQIesNW2+mOUpcR9rj9Q+pPSvtbbg+bquV9/v7zZT3+fMytnZePbtcl+2uUN+tSaud/9v6mfXRs/Nb5DxfWr2pMFSwfXXQ/2+4uDXClFOBsDQmQd0fGp1qSC9+v02yiPTaG6UoF09sXON/WcJLKDL6tbuD3/7axvNJf0R7HWAUA2jg7BRDQqPJICbhEL7lyBmczJKNilHENk61kfRhZFZW3Mdxi/y1abQBoo9V4i7/Q/b/T2EULQKe5i/bYGPDLqubrWMFyfQEfNycD52li/V/7mH/VK1pXUPuuChw8/rrNVUY38d3MjbVKtuOkIIWJke6i6LU9ov7UP40Je7NALucXYNca35Tc3L+Kieo+lh6WMFc/Q2VlBx+HgMPFSTzBDKYBjNZWu5nR7Hgq/1r10nU7OFzsCnV31fXVSuzhNbR6G9d2AHzdrjzyGOhbuzS1eYJ3P1Svt8EQMPHjn3hzlVW5UUtzcMpmfJpW28H5+39g7sFG8ec2gOmOEHzGLflUeBxPj45v3TIP27d19k9srQCHin71T/HKI6WrTKaGrS8X2ArZJ8730ZVjYNPttx44tVI7NzG6WmHby3Lmfw1fIBm5zkZhlbetDSvVYlNNqF33NvZmV4EX0YsQe3SaTaBWEzMlsr3NJMGZDCnXzKiyijdfVjN65CZx02ETqGVJZ/h0AtyLOWansYYnn4Bvjt7i3uz3WK7FqBfJBScEyfg0LQW23nGzyddIEtyZGl3ZwRv9niTGh+wIcKConVSMJBV9XbInzY6KLGqHbfv1sxq2jm5P16TGN2jL0r5twWpBEpkZBepPh4uDb/1LmfKkxZdR2yS2to20WFvUliBGeXRImzt10Hcp30NCu8gTKXEtisSC5JtSE0L0ESWwVk/ZCCGOcWmIu8N3Uu+XZt+4fdLYg77kcfxB2+jwP609zFeJ/vV/JsW/OLuO+NqCVRlS7xa5y/Np6VNjG2oaUc+4Ff2sHVHHWFFbtWFL7Ah5+yTxOwaR7l8/Uc8PSvbfBh91oj9DinjyPc0tb9cvUlhMOKpnx5b4+S5GgJCitu4nvUl2bOwsNvlqY3x1oF+QBvx6R5Lg53WhJK/EDdolvp4kj5XCRdnTrig3bY/Dl0HbeIaUZOrm+6hB1AhOc21oOzb5qhv9Re2EP5YXdlGkXygd2VuUQNu8Gt0EtgxwtsZXF3ozpBS/3tGfevtwoYJLGSSm3jZeAxuWh/jUxpOiV5BCfr0jCpsyI130OpEUUZLiRxZsECbyFeM1pCA6G47poqWKPawTFe1fXJFd9/nztsfhenxtQZQgBeGoZj4Gps+vC9Od19cZQBLEFLV79B4PsYEiGpaJxutyhzH93UyfXzqiMiTTI5dEii52+9Jhim5rXHGfDL3v1A68PfHjYgmI+PUOwJ+OQMxS5E2DqPOwjUejN0O6WqXdK9LGTdlY1A4nSZaUx/kHDQqS45PW3v/MYB7H78UxbG1ZHsdPa7cFEb864kowXcCH0VtnlpRGzMlXjL9T2+apWtG+6zyfzdchDaoZTF7nKuJ8NiOiqM0LZBbfxAhwYxBxEaOCxFRWDR133Nhh9LVDxlYdY4Jkarpjuz0qXlL8s8ke9arbPI4vbaW7LRjNkDhypCePBsgRvFj4XF08RorarnQEk98jjxXtNq2K10ne19GV9m2CwjMkXqz8yJIluZLi5wmzTvMUJkhxC++IGr7+fLcOmBnJQbsgSXmGx3RRUZc9uEJYZX/TrzeRZo/bzrR/LGpnoH/5PEcMPaSJqysNVyps69korKhd5MrYopAguCo+SPBXMmnbKOOaH4XUkHjB9KEaU16DaLJknIxrPhRSQyL68aXGUBSMlxkKu8tmegQxXVTUaY+LbZJRXPL3K9KushI+uI8U/21HqyCFXWTTwuQyrjRKKQyKJ6dqetBW1HaxiN2PtEYZtvJamo+2MChujKk+tE/ZeNGKJTgQsONkh1lnsWhbhwSwIxRNWLx5DdIRV0tiXPWQuyBJvWCmi4pF2sNWx0vyzzZ7koW+kv23idxrSJIEyZWLREgSJPS5rOSaIUkSI0KIfeSWIdkiRqp+6nw0owhfVLd33RfV7SX6onJ82xDxkv+iYMP12xfV7SX6onJ8G8lFkGzIjthw/fZFdXuJvqgc31YyT9kkixGL2sQnJPZBVbyashFCZJMpQ5KcHRFC7CN1hkQxIoTkjZGfQSKEkDBYQyKEiIGCRAgRAwWJECIGChIhRAwUJEKIGChIhBAxUJAIIWKgIBFCxEBBIoSI4f/BRMumT/vlzAAAAABJRU5ErkJggg==)
Figure shows a cross - section of light pipe made of glass fibre of refractive index 1.68. The outer coating of the pipe is made of a material of refractive index 1.44. What is the range of angles of the incident rays with the axis of the pipe for which total internal reflection inside the pipe takes place ?
![](data:image/png;base64,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)
physics-General
physics-
A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index
and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is
![](data:image/png;base64,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)
A vessel contains a slab of glass 8cm thick and of refractive index 1.6 over the slab, the vessel is filled by oil of refractive index m upto height 4.5 cm and also by another liquid i.e., water of refractive index
and height 6cm as shown in figure. An observer looking down from above, observes that, a mark at the bottom of the glass slab appears to be raised up to position 6cm from the bottom of the slab. The refractive index of the oil is
![](data:image/png;base64,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)
physics-General
physics-
In the Figure, AB and BK represent incident and reflected rays. If angle BCF = 35º. Then
. will be equal to ____ degrees
![](data:image/png;base64,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)
In the Figure, AB and BK represent incident and reflected rays. If angle BCF = 35º. Then
. will be equal to ____ degrees
![](data:image/png;base64,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)
physics-General
physics-
Assertion : The net deviation suffered by a light ray incident on a plane mirror as shown in the figure is ![360 degree minus 2 cross times 30 degree equals 300 degree](data:image/png;base64,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)
Reason : A ray of light is incident on a plane mirror at an angle i with the normal to the mirror. It strikes another plane mirror inclined at an angle
with the first mirror. It is given that
The net deviation produced after reflection once from each mirror is
.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
![](data:image/png;base64,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)
Assertion : The net deviation suffered by a light ray incident on a plane mirror as shown in the figure is ![360 degree minus 2 cross times 30 degree equals 300 degree](data:image/png;base64,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)
Reason : A ray of light is incident on a plane mirror at an angle i with the normal to the mirror. It strikes another plane mirror inclined at an angle
with the first mirror. It is given that
The net deviation produced after reflection once from each mirror is
.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
Assertion : In YDSE number of bridge figure or dark fringe can not be unlimited
Reason : In YDSE path difference between the superposing waves can not be more than the distance between the slits.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
![](data:image/png;base64,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)
Assertion : In YDSE number of bridge figure or dark fringe can not be unlimited
Reason : In YDSE path difference between the superposing waves can not be more than the distance between the slits.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
Assertion : A beam of light containing radiations of only two wavelengths is incident on a prism. It is found that radiations of one wavelength come out from the face AC of the prism but radiations of other wavelength does not.
Reason : The condition of total internal reflection is satisfied for one wavelength and not for other.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
Assertion : A beam of light containing radiations of only two wavelengths is incident on a prism. It is found that radiations of one wavelength come out from the face AC of the prism but radiations of other wavelength does not.
Reason : The condition of total internal reflection is satisfied for one wavelength and not for other.
A) If both Assertion and Reason are true and Reason is the correct explanation of the Assertion.
B) If both Assertion and Reason are true but Reason is not correct explanation of the Assertion.
C) If Assertion is true but Reason is false.
D) If Assertion is false but Reason is true.
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)
physics-General
physics-
In an interference arrangement similar to Young's double – slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
The sources are synchronized to have zero phase difference. The slits are separated by a distance
The intensity
is measured as a function of
where
is defined as shown. If
is the maximum intensity, then
for
is given by
![](data:image/png;base64,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)
In an interference arrangement similar to Young's double – slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
The sources are synchronized to have zero phase difference. The slits are separated by a distance
The intensity
is measured as a function of
where
is defined as shown. If
is the maximum intensity, then
for
is given by
![](data:image/png;base64,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)
physics-General
physics-
In an interference arrangement, similar to Young's double slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
Hz. The sources are syn necrotized to have zero phase difference. The slits are separated by distance
The intensity
is measured as a function of
where
is defined as shown in figure. If
is maximum intensity, then
for
is given by
![](data:image/png;base64,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)
In an interference arrangement, similar to Young's double slit experiment, the slits
and
are illuminated with coherent microwave sources, each of frequency
Hz. The sources are syn necrotized to have zero phase difference. The slits are separated by distance
The intensity
is measured as a function of
where
is defined as shown in figure. If
is maximum intensity, then
for
is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAQwAAAEjCAYAAADHdj9wAAAZrklEQVR4nO3df0gcZ/4H8PeEcPHu3FvJyp1pKFlz2Pz4o9ltqKdQqrEX0FQ4A9fDHKQqJFabHqenkOw/t+4fdybkrMsREgOB3VhqlpMjW9TEIxgNFJQWM5PAoSI9t1AzSw+JWweyuXKZ7x/5uhezbnyMuzu74/sFoXVmdv2Usu88zzPPfFbSdV0HEZGALUYXQETZg4FBRMIYGEQkjIFBRMIYGEQkjIFBRMIYGEQkjIFBRMIYGM/RNA2NjY2QJAmSJKG4uBg3btyApmno7u42ujwiQzEwnqGqKg4cOACLxYKlpSXouo7bt29jZGQEFosFT548MbpEIkNtNbqATNLX1wcAaG9vR25uLgAgNzcXHo8H33zzDSoqKowsj8hwHGE8JxKJIBwOrziWm5uL/fv3o6CgwKCqiDKDxIfP/keWZRw+fBi7d+/Gp59+iqKiIqNLIsooHGE8w+l0wuVy4csvv0RpaSlkWTa6JKKMwsB4TltbG65duwYAeOONNxAIBAyuiChzcEqSwPL0ZGFhAQMDA6iurja6JCLDcYSBp+Fw5cqVFcecTidu3boFm80Gr9cLTdMMqo4oczAwAMzPzyMSicQdLyoqgsPhwNzcHJaWlgAAdXV16OrqSneJRBmBgQFgZmYGN2/ejBtFLC0tYW5uDoWFhbBYLOjq6kJvb69BVRIZj4EB4P79+xgZGYHb7Y6FhqZpOHPmDCKRCM6fP4/c3Fy0tbXhL3/5i8HVEhln0weGqqpwOBxYWlrCm2++iYMHD0KSJFgsFnz77bcYHx+H0+k0ukyijMC7JOu0vH7R1tZmcCVE6bfpRxhEJI6BQUTCGBhEJIyPt69DV1cX2tvbYz9zHYM2Gy56EpEwTkmISBgDg4iEMTCISBgDg4iE8S7JKhRFQTAYBADs3bsXtbW1BldElBl4l+Q5Fy9exB//+EcsLCwAAH7yk5/A4XDgH//4B3JycgyujshYWRUY0WgUExMTa15nt9tht9vX/f4TExOoqqrC4uLiiuM5OTk4efIk/vrXv677PYnMJKsCY3h4GOfOnVvzulAohFAotOZ1sizD4XDEfq6oqMDo6Oiq127btg3hcBh5eXniBROZTFYFhqiJiQmUlpbC5/Ohvr5e+HU7d+7EgwcPVj1ntVoxNja2ImCINhtT3iVpbm4GALhcLkSjUeHX7dmzJ+G5x48fY+/evRuujSibmS4wenp6oCgKACAcDsPlcgm/9uLFi9i+fXvc8R/96Ec4ffo0Fz1p0zPVlGRxcRH79u1DXl4epqen4XA4MD09DVmWhUcHY2Nj+M1vfgNN0/Cf//wHP/7xj1FXV8cFTyIA0E2kpaVFB6Bfv3499s+CggK9pqZmXe/z8OFDvampSS8uLtanpqZSVC1R9jHNlGR6eho9PT1oaWmJLUzm5eXB7XYjGAzGNmKJyMvLwy9+8Qvs37+f6xZEzzBNYLhcLuTl5eH06dMrjjc1NcHhcKx7AZSI4pkiMJZHEG63GwUFBXHnL126hOnpaXi9XgOqIzKPrA+MaDQKl8sFh8OBpqamVa8pKSlBfX09PB4PwuFwmiskMo+sD4xwOIxwOIxLly698LrOzk7k5OQIbS0notVl/dOqdrsdDx8+XPO6goICoeuIKLGsH2EQUfowMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODiIQxMIhIGAODKEMoioKqqqqMbvKU9f0wiLLd9PQ0XC4XQqEQuru7V20zmSkYGEQGWf6irYmJCXR2dqKmpsboktbEKQlRmi0uLqK1tRWlpaUoKyvD1NRUVoQFwMAgSptoNIqOjg44nU7s2rULU1NT6/qy8EzAwCBKsWg0Cq/Xi3379gEAZFlGS0tLVn5XL9cwiFLI7/fj3LlzqKysxPj4eEYvaIpgYBClQDAYhMfjgcPhwM2bN2G3240uKSkYGERJNDY2Bo/Hg7y8PPh8vtj3/JoFA4MoCRRFgcfjweLiItxuN8rLy40uKSUYGEQbEAqF4HK5MD09DbfbnTW3R18W75IQvYRwOIzW1lYcOnQIv/rVryDLsunDAmBgEK3L4uIiOjo6UFpail27dmFubg61tbVGl5U2DAwiAct7KZxOJwBgamoKLS0tBleVfgwMojX09PRg3759+PrrryHLMjo6OrJy01UyMDCIEggGgygsLMS9e/cwPj6O7u5u5OXlGV2WoXiXhOg5Y2NjaG1thd1ux+joqGk2XSUDA4Po/ymKgtbWVgAw5aarZGBg0Kb3fAMbs266SgYGBm1a2djAxmhc9KRNJ5sb2BiNgUGbhhka2BiNgUGbglka2Bgt5YExODgISZIgSRLq6uoSXqeqKg4fPgxVVVNdEm0ifr8fhYWF+PrrrzE+Po6Ojo5Nv5diI1IeGNXV1bh79y5sNhvee++9hNdNTk7i9ddfx44dO+LOBQIB5OfnQ5Ik5Ofno62tDZqmpbJsynLBYBBOpxN37tzB6OhoxrfvzxZpuUsyPz8Pq9WKgwcPJrymv79/1UAZHBzEsWPHYj8vLCzg448/xr179xAMBpGbm5uSmik7mb2BjdHSsobR39+PwsJCWCyWVc+rqopt27bF3f/WNA2ffPIJrl27Bl3Xoes6hoaGYLPZMDIygrGxsXSUT1lAURQcPXoUHo8Hbrcb169fZ1ikQMoDQ1VVfP7556iqqko4Gujr68OePXvizs/OzuLUqVMrHh8+cuQI/H5/Smum7BEKhdDQ0ICGhgbU1dVhdHSUG69SKOmBcePGDRQXF0OSJDQ2NuLOnTuIRCKoqKhY9XpN0/DFF1+set7pdOLtt9+OOz4zM4Pdu3e/cIpD5vZsA5uysrJN08DGaEkLDE3T0NbWhvfffx8dHR3QdR0VFRX46KOP4HA4UFRUtOrrZmdnASDh+dXcv38fH3744aoLpGRuqzWw4V6K9ElaYJw6dQpXr17FrVu3cOTIEQBAWVkZrFbrC6cjt2/fRnFxsfDipSzLmJqawm9/+9tklU5ZgA1sMkNSAmNwcBC9vb3w+/2x/6HA02Hj1q1bE05HVFXF8PCw8Idf0zScPXsWly9f5uhiE/H7/WxgkyE2fFtV0zR4vV688847cYtNXq8Xr776asLpxuTkJF555RXhD38gEMDx48dXhBKZVzAYRGtrK8rLy03xrWFmsOHAmJ2dhaIo8Pv9K6YVg4ODGBoawrvvvptwupFo78Vqurq6AAAnTpzYaMmU4djAJnNtODDm5+exsLCw4pgsyxgYGACAhIGgqioePHggdKfjypUrsFqtK8JC0zT84Q9/gMfj4fTEJNjAJvNteA1j586dsNlsmJmZAfD0turk5CRee+01WK1WfPXVV5BlOe51k5OTqKysXPPD3tXVhZMnT+LkyZOxZ1IkSYLFYsHjx48ZFiYQCoVw9OhRNDQ0wO12Y3R0lGGRoTYcGE6nE3V1dWhvb0dxcTGA/00bIpEInE5n3JrD8g7ORIuhy7q6utDe3p7wvOh0hjJTOBxGQ0MDDh06hLq6OsiyzE1XmU43obm5OR2APjo6+tLv4fP59Pr6+iRWRcsePnyot7S06Ha7Xff5fEaXQ+vAfhiUNmxgk/0YGJQWbGBjDgwMSik2sDEXdg2nlAgGg/B4PHA4HNxLYSIMDEoqNrAxNwYGJYWiKPB4PFhcXITb7ebtUZNiYNCGhEIheDweKIoCt9vNnhQmx0VPeilsYLM5MTBoXdjAZnNjYJAQNrAhgIFBAtjAhpZx0ZMSYgMbeh4Dg+KwgQ0lwsCgGDawobUwMAihUAitra0IhULo7u7mpitKiIuemxgb2NB6MTA2ocXFRbS2tqK0tBRlZWWYm5vjpisSwsDYRNjAhjaKgbFJsIENJQMDw+TYwIaSiXdJTIoNbCgVGBgmwwY2lEoMDJNgAxtKBwZGlmMDG0onLnpmKTawISMwMLIMG9iQkRgYWYINbCgTMDCyABvYUKbgomcGCwaDcLlcKCkpYQMbyggMjAz0bAOb69evY+/evUaXRASAU5KMoigKDh06BI/HA5/PFxcWs7OzaGxshCRJyM/Px5UrVwysljYjBkYGCIVCOHr0KBoaGuB2uzE6Ohq3Q1OWZdTX16Ompga6ruPChQs4c+YMZFk2qGrajBgYBgqHw2hubl6zgY0sy6itrcWFCxdw5MgRAEBZWRmsVitu376d7rJpE2NgGODZBjYHDhx4YQMbVVXx61//GiUlJbFbqsDTsIlEIukqmQiACQIjHA7j6NGjCIfDL7wuGo3i2LFjmJ6eTlNlq9fwfAObpqamF76mr68PkUgkbs/F/Pw8FhYWUlkuUZysD4ycnBwMDw/Hul0n0tPTg0AggGg0mqbKVkrUwMbpdGJxcXHV16iqiosXL+Ldd99dMboAgJmZGdhsNlRUVKS8dqJlWR8YeXl5cLvdCAQCmJiYWPWacDgMl8uF2tratD/uHQgEEjawWVxcRCgUStjQpq+vD//617/Q29sLSZJW/Glvb4fVauXeDEqrrA8MAGhpaYHdbkdzc/Oq510uFwCgu7s7bTUFg0E4nU589tlnGB0dRXd3d9yHe2JiAiUlJau+XtM03Lx5E7t378aDBw+g63rsz8DAAADgrbfewo4dO1L+30K0zBSBkZOTg+7ubiiKgp6enhXnFEWB3++H2+1Oy9/GY2NjOHToEK5evQqfz4dr164l7HalKErCEc/s7CwURUFhYSEsFsuKc/39/bDZbHyWhNLONDs9a2pqUFlZCY/Hs+Jv7YaGBtjt9pR/uF6mgc1nn32WcNSzvKhZVVWF3Nzc2HFZljE0NASHw4GioqKk1U8kwjSBAQCdnZ0oLS2Fx+MBAFy9ehWKouD69espe1jrZRvYhEIhhMPhhFOSZXv27Fnxs9frBQCcP39+RZAQpYMppiTLHA4HmpqaEAwGATx9yrOysjIljWWWG9hUVVW9VAObQCCA2tradf3O5dGF3++Pu2tClA6mCgwAOH36dGytIicnB52dnUl9/+cb2Cxv2V6PaDSKy5cv4/e//33Ca3bu3AmbzYb+/n4AwI0bN3D48GFcuHAB1dXVG/pvIHpZpguMgoICnD59GgDQ1NSUtNuoiRrYvMxUp6enBzU1NS9chHU6nbhw4QKGhoYgSRI6OjowPj6+7lEJUVLpJlVZWak/evTopV/v8/n0+vr62L/b7Xa9paVFf/jw4YbqevTokW6323VVVTf0PkRGMNWi57OStdCpKAru3LmTtAY2Ho8HH3zwATdcUVYybWAk666Iw+GAz+dLynuNjY1hYmICo6OjSXk/onQzbWAkQyQSwQ9/+MOkP38iSVJS348oVebm5lZsPMy6wGhoaIDf70/KexUUFGBubi7haMRqteLRo0dJ+V3RaBSKoqy574Iok2XdXRKfz7fiuYqN/FFVNW3dt3NychgWlPWyLjBEDA8Pxx44I6LkMV1gRKNRuFwueL1ehEIho8shMhXTBUZPTw8URUE0Gl2zqQ4RrY+pAiMcDscePAOe9qRYfq6EiDbOVIHh8XgQjUZRXl4Ou90Oh8MBl8tlWFs+IrMxTWAsN89Z7r4FAJcuXcL09HRcUx0iejmmCYzm5mYUFBTA7XbHjpWUlKC2thYul2vNruJEtDZTBMZyA+DOzs64fRXLHa14m5Vo47I+MJbvhjgcjlX7UiyPOvx+PxRFMaBCIvPI+sA4e/YswuEwLl26lPCatbqKE5GYrA+M5RHEi7Zd5+TkwOfzpf07SYjMJusePnveWl81uKy8vFyokzcRJZb1IwwiSh8GBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkTAGBhEJY2AQkbCUBsbg4CAkSYIkSairq0t4naqqOHz4MFRVTWU5RLRBKQ2M6upq3L17FzabDe+9917C6yYnJ/H6669jx44dcecCgQDy8/MhSRLy8/PR1tYGTdNe+Ht37dq14dqJKF7KpyTz8/OwWq04ePBgwmv6+/tx6NChuOODg4M4duwYFhYWAAALCwv4+OOPUVNTs2ZoEFHypTww+vv7UVhYCIvFsup5VVWxbds2lJeXrziuaRo++eQTXLt2DbquQ9d1DA0NwWazYWRkBGNjY6kunYiek9LAUFUVn3/+OaqqqpCbm7vqNX19fdizZ0/c+dnZWZw6dQq1tbWxY0eOHIHf709lyUT0AkkNjBs3bqC4uBiSJKGxsRF37txBJBJBRUXFqtdrmoYvvvhi1fNOpxNvv/123PGZmRns3r37hVMcIkqNpASGpmloa2vD+++/j46ODui6joqKCnz00UdwOBwoKipa9XWzs7MAkPD8au7fv48PP/xw1QVSIkqtrcl4k1OnTmFoaAi3bt2C0+kEAJSVlcFqtb5wOnL79m0UFxcnPP88WZYxNTWFs2fPJqNsIlqnDQfG4OAgent7MTAwEAsLAAiHw9i6dWvC6YiqqhgeHkZvb6/Q79E0DWfPnsXly5c5uiAyyIamJJqmwev14p133om7y+H1evHqq68mnG5MTk7ilVdeEf7wBwIBHD9+fEUoEVF6bSgwZmdnoSgKWlpaVkwrBgcHMTQ0hJ07dyacbvT3979wM9ezurq6EIlEUF1dvZFyiWiDNhQY8/PzsU1Vy2RZxsDAAAAkDARVVfHgwQOhOx1XrlyB1WpFW1tb7JimaWhsbORWcqI021Bg7Ny5EzabDTMzMwCe3ladnJzEa6+9BqvViq+++gqyLMe9bnJyEpWVlWtOR7q6unDy5EmcPHky9kyKJEmwWCx4/Pgx1zKI0mxDgeF0OlFXV4f29nYUFxcDAE6cOAEAiEQicDqdcWsOyzs4Ey2GLuvq6kJ7e3vC86LTGSJKHknXdd3oIpKto6MDV69exdzc3Eu/h9/vx507d+Dz+ZJYGVF2Yz8MIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhLGwCAiYQwMIhKW9YERCARw9uzZNa+bmJhAQ0NDGioiMq+sD4xQKASXy4WJiYkXXtfc3AxFUdJUFZE5ZX1gtLS0oKCgAM3NzQmv6enpgaIocLvdaayMyHyyPjBycnJw6dIlKIoCr9cbd35xcREejwc1NTWoqakxoEIi88j6wACAmpoalJeX49y5cwiHwyvOeTweLC4uorOz06DqiMzDFIEBAN3d3QiHwzh37lzsmKIo6OnpQVNTE/bu3WtgdUTmYJrAcDgcaGlpgdfrxb179wAALpcLeXl5LzW6+P777/Hvf/872WUSZTfdRFRV1QsKCnQAsT8+n29d7/Hw4UP96NGj+pYtW/Qf/OAH+tatW/U///nPKaqYKLtIuq7rBmdWUnm9XrS2tgJ4OuqQZXldr3c6nfjnP/+J77//PnbMYrHgd7/7Hf70pz8ltVaibGO6wACefugVRYEsy3A4HMKvCwQC+OCDD/Ddd9/FncvLy4Msy7Db7ckslSirmGYN41nd3d2or69fV1gAwM2bN1cNCwB48uTJmpvDiMxuq9EFpEJ5eTlKSkrW/bqf/vSnCc9t2bIFeXl5GymLKOtl1ZRkbGwMY2NjSXu/+vr6FVMMRVFQXl6OSCQSd+327dsxPz+PnJycpP1+omyTVVOSVK8fOBwOnDp1Km4ksX37dvz9739nWNCml1UjjHQZHh6Gy+XCf//7X+Tn5+PixYvc+EUEBgYRrUNWTUmIyFgMDCISxsAgImEMDCISxsB4jqZpaGxshCRJkCQJxcXFuHHjBjRNQ3d3t9HlERmKgfEMVVVx4MABWCwWLC0tQdd13L59GyMjI7BYLHjy5InRJRIZypRbw19WX18fAKC9vR25ubkAgNzcXHg8HnzzzTeoqKgwsjwiw3GE8ZxIJBLX5i83Nxf79+9HQUGBQVURZQZu3HqGLMs4fPgwdu/ejU8//RRFRUVGl0SUUTjCeIbT6YTL5cKXX36J0tLSdTffITI7BsZz2tracO3aNQDAG2+8gUAgYHBFRJmDU5IElqcnCwsLGBgYQHV1tdElERmOIww8DYcrV66sOOZ0OnHr1i3YbDZ4vV5ommZQdUSZg4EBYH5+ftWmOUVFRXA4HJibm8PS0hKApxu7fvnLX0KSJPz85z+HqqrpLpfIMAwMADMzM7h582bcKGJpaQlzc3MoLCyExWIB8LRR8Pnz56HrOt566y0cP36cow/aNBgYAO7fv4+RkRG43e7Yh1/TNJw5cwaRSATnz5+PbeQ6ceIEnE4ngKdfBP3dd9/FRh9EZrfpA0NVVTgcDiwtLeHNN9/EwYMHIUkSLBYLvv32W4yPj8cC4nkFBQWwWq1prpjIOLxLsgGyLGNychInTpwwuhSitNj0I4yNuHv3Lmpra40ugyhtGBgvqaurCz/72c9iaxtEmwED4yV0dXUBAKqrq6GqKv72t78ZXBFRenANY53q6urQ29sb+9lms+HWrVsJF0aJzISBQUTCOCUhImEMDCISxsAgImEMDCISxsAgImEMDCIS9n+FI+2GZGrz1QAAAABJRU5ErkJggg==)
physics-General
physics-
A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index
as shown. The position of the image formed by refraction at the spherical surface only is
![](data:image/png;base64,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)
A parallel narrow beam of light is incident on the surface of a transparent hemisphere of radius R and refractive index
as shown. The position of the image formed by refraction at the spherical surface only is
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)
physics-General
physics-
A glass prism of refractive index 1.5 is immersed in water
Light beam incident normally on the face AB is totally reflected to reach the face BC if
![](data:image/png;base64,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)
A glass prism of refractive index 1.5 is immersed in water
Light beam incident normally on the face AB is totally reflected to reach the face BC if
![](data:image/png;base64,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)
physics-General
physics-
Two identical sources P and Q emit waves in same phases and of same wavelength. Spacing between P and Q is
The maximum distance from P along the x-axis at which a minimum intensity occurs is given by
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAMgAAADbCAYAAAAoGt6rAAAK00lEQVR4nO3dT2jb9R/H8VfG71BZthYyIbWXWrYW3WHpZBeREZcKjW44D2U4sN3BDhHFSRU8mRYPHtba3QRXqP9w9eKGru3AdglacJctPUoHJh5qeilrlq80Jz+/gzS/9dfmnTbp8u3Y8wGBD998P807Ie98Xt/8+TbgnHMCsKk9fhcA7GY0CGCgQQADDQIYaBDAUPcGmZqaUjwe18jISGmb53nq6upSX19fvcsBTHVtkL6+Pr3yyiu6ceOGpqen5Xle6bojR45obm5OuVyuniUBpkC9PwfxPE+nT59WJpPR3NycmpubS9svX76s999/v57lAKa6R6xgMKh4PK58Pq+lpaXS9omJCUWj0XqXA5h2xUF6LpdToVBQZ2en36UA6/jSIB0dHVpeXtbi4qKkfw/c+/v7/SgFMPm+goyNjeno0aMKBoN+lwJs4EuDtLS0KBQK6ccff1R7ezvRCruWLw0SDofV2Niojo4OHT9+3I8SgC3xLWL19vZqYGDAr5sHtsSXz0G+//57nTlzhuMO7Hp1WUFGRkbU1dWldDpNc+CR8p963dD8/Lxu376tN998s143CdSs7hELeJT4/jkIsJvRIICBBgEMNAhgoEEAAw0CGGgQwECDAAbfGmRlZUWDg4PKZrN+lQBU5GuDDA0N0SDY1fiqCWAgYgEGIhZgIGIBBiIWYCBiAQYiFmAgYgEGIhZgIGIBBiIWYCBiAQYiFmAgYgEGIhZgIGIBBt9WkKWlJb344ouan5/3qwSgIn6TDhiIWICBiAUYiFiAgYgFGIhYgIGIBRiIWICBiAUYiFiAgYgFGIhYgIGIBRiIWICBiAUYiFiAgYgFGHxbQbLZrAKBgFKplF8lABX51iBNTU1KJBJqbW31qwSgIiIWYCBiAQYiFmAgYgEGIhZgIGIBBiIWYCBiAQYiFmAgYgEGIhZgIGIBBiIWYCBiAQYiFmDwrUEaGhoUjUbV1NTkVwlARZy0ATD4dpBeLBZ169YtRSIRVhHsWpzVBDAQsQADEQswELEAAxELMBCxAAMRCzAQsQADEQswELEAAxELMBCxAAMRCzAQsQADEQsw+LaCFItFpVIprays+FUCUJFvDbKysqKhoSFls1m/SgAq4rQ/gMHXFWRwcJAVBLsaEQswELEAAxELMBCxAAMRCzAQsQADEQswELEAAxELMNTUIJ7nqaurS4FAYMPlwIEDGhgYkOd5m84lYuGR4HbA5cuXnSQ3PDxc2nblyhUnyfX29u7ETQC+2JGIlc/nFQqFdOLEidK2kydPKhaLaW5uTrlcbsMcIhYeBTU3iOd5mp6eViQS0aFDh7Y8by1izczM1FoCHmPZbPah/iq15ga5e/eu5ufnFY/HFQwGS9tTqZRmZ2f1wgsvqLm5ecO8Tz75RMFgUB988IEOHz6sYrFYayl4DGWzWXV2duq1117bVqOk02nF43H19fWVto2NjenAgQPq6ur637FzrRlteHjYhUIhd+fOndK2K1euuFAo5I4dO+b++uuvDXPS6bTbv3+/k+Qkub1797qLFy/WWgoeQ8lksvQ8kuROnz7t0um0Oeenn34q7b/23B0cHHQLCwsb9q2pQQqFgovFYi4UCrnnn3++dKPt7e3us88+c4VCYdN5n3/+uXviiSfW3bFnnnnGXb161TnnXCKRcMlksuz43r17LpFIuHQ6XXacyWRcIpFwmUym7DidTrtEIuHu3btXdpxMJl0ikXDOubLjq1evutHRUXM8Pj7uxsfHzfHo6GjpMSg35rFZP75w4cK659F2GuXBF/IHX+AfVFOD3Llzx4VCoXXvXm3F6uqqC4VCpTuzf/9+99RTT7lz5879W5RUeoA3G2cyGSfJjY+Plx2vvbIkk8my4/HxcSfJZTKZsuNEIuHWFtpy43PnzrnW1lZzHI1GXTQaNcetra2lx6DcmMdm43izBpHkwuGw++2338o+D9de4GOxWNkX85oaZLN4tVW//vqre/LJJ92xY8fc9PR0LWXgMfb/EWutMUZHR93q6mrF+cPDw66trW3TQwHnanibd+3dq8bGRoXD4W3PP3jwoA4fPqwvvvhC3d3d1ZYBlITDYY2OjiqTyejChQtqaGgw98/lclpaWlI+n9ft27c336nazl2LV3wQCD8lk8ltrRgPGhsbc7lczsVisbLP46pWEM/zdOnSJS0vL6unp6eaP8GZFbEjIpHIllcMSRoZGVFfX5+mpqZ09OhRhcNhtbS0aHFxUel0WkNDQ+v233aDXL9+Xfv27dPXX38tSTp16tT6942BOmpqatpSYzxocnJS9+/fV2dnpySpp6dH8/Pz+vbbbzUwMLBuX77uDhg4eTVg4N8fAAYiFmAgYgEGIhZgIGIBBiIWYCBiAQYiFmDwbQXJZrMKBAJKpVJ+lQBU5FuDNDU1KZFIqLW11a8SgIqIWICBiAUYiFiAgYgFGIhYgIGIBRiIWICBiAUYiFiAgYgFGIhYgIGIBRiIWICBiAUYiFiAwbcGaWhoUDQaVVNTk18lABVx0gbA4NtBerFY1K1btxSJRFhFsGtxVhPAQMQCDEQswEDEAgxELMBAxAIMRCzAQMQCDEQswEDEAgxELMBAxAIMRCzAQMQCDEQswODbClIsFpVKpbSysuJXCUBFvjXIysqKhoaGlM1m/SoBqIjT/gAGX1eQwcFBVhDsakQswEDEAgxELMBAxAIMRCzAQMQCDEQswEDEAgxELMBAxAIMRCzAQMQCDEQswEDEAgz8Jh0wcFYTwEDEAgw7soKk02nF43EFAoHS5fz58/I8r+wcIhYeBTU1iOd5On/+vF566SW9++67cs7JOaeFhQXNzs7qyJEjyuVyO1UrUHdVR6y7d++qu7tbTz/9tK5du6ZgMLju+uvXr+vUqVPq7e3VV199tSPFAvVW1QqSy+XU3d0tSfrmm282NIckPffcc2pra9Pi4uKmUYuIhUdBVQ3y0Ucf6Y8//tDbb7+t5uZmc99MJqNCoVBVcYDf/rPdCel0WpOTk2pra9PZs2fL7re0tKR8Pq9IJKJ9+/ZtuD4cDiuZTG735oG62vYKcvPmTS0vL1dcPdb2a2lp2TSCEbHwKNhWg3iep+npaUlSR0fHlvbr6empoTzAX1Udg4RCIbW0tJS9PpVKaXZ2VrFYTNFodMP1xWJRN27c0KuvvqpwOFxNCUBdbPsYpJJcLqf33ntPoVBIFy9eLPsO159//qnV1VUNDg7q999/p1GwK21rBQkGg4rH41peXtbNmzc3XO95nt544w3l83l9+eWX6uzs3LDPtWvXtLi4qL///lv//POPPM/Txx9/XP09AB6ibUess2fPqq2tTZ9++qkmJiZK26empnTixAndv39fP//8s06ePLmlvxcIBLZbAlA/rgoLCwuuv7/fSSpduru73eTkpCsUChXnP/vss27v3r1uz549rrGx0eVyuWrKAB66qhrEuX+b5MyZM25hYWHbc1dXV92lS5fcwYMH3czMTLUlAA9dVd/FSqfT+u6775RIJDY9CF/bp1Ao6Pjx47UtcYCPtt0gExMTeuedd7S8vCxJam9v11tvvaXXX3+99E7U1NSUJOnll1/e4XKB+qr627xLS0v65Zdf9MMPP2hmZqbUMP39/frwww916NChHS0U8AO/KAQM/CYdMNAggIEGAQw0CGCgQQADDQIYaBDAQIMABhoEMNAggOG/Z7WIGSwdW8YAAAAASUVORK5CYII=)
Two identical sources P and Q emit waves in same phases and of same wavelength. Spacing between P and Q is
The maximum distance from P along the x-axis at which a minimum intensity occurs is given by
![](data:image/png;base64,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)
physics-General