Chemistry-
General
Easy
Question
There are
of
and
of
in a rock. If
of
is
age of the rock is
The correct answer is: ![3.0 cross times 10 to the power of 9 end exponent y r](data:image/png;base64,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)
Based on rock-dating
![left parenthesis 1 plus fraction numerator open square brackets P b close square brackets over denominator open square brackets U close square brackets end fraction equals open parentheses 2 close parentheses to the power of n end exponent](data:image/png;base64,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)
![open parentheses 1 plus fraction numerator fraction numerator 0.618 blank cross times blank 10 to the power of negative 6 end exponent over denominator 206 end fraction over denominator fraction numerator 0.238 blank cross times 10 to the power of negative 6 end exponent over denominator 238 end fraction end fraction close parentheses equals open parentheses 2 close parentheses to the power of n end exponent](data:image/png;base64,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)
![open parentheses 2 close parentheses to the power of 2 end exponent equals open parentheses 2 close parentheses to the power of n end exponent](data:image/png;base64,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)
![n equals 2](data:image/png;base64,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)
![2 equals fraction numerator t over denominator T subscript 50 end subscript end fraction](data:image/png;base64,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)
![t equals 2 cross times T subscript 50 end subscript equals 3 cross times 10 to the power of 9 end exponent y r](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAKYAAAAVCAYAAADM1pWsAAAACXBIWXMAAA7EAAAOxAGVKw4bAAAABGJhU0UAAAAQ3ZOC+gAAA5ZJREFUeNrtWV9kW1EcviIiokpE1PRhxNTMzNhDRVXtJSYiqtTUVM2YPczkYexhavawl5mpmRJTVbOXqampGjMRNVNmpmaizOyhD33pQ8xElO530i92dnZv7j335pybdOfjE/ckN/fe73zn9+dcyzIwCIZJ4lfiNnHayGHQC2BGfEqMEtPEdeKUkcUgbHyCKdsYJm4aWQzCBkvfCe44QvzVTw8wRlwl1olN4mfiFUXXiuAahx3YxO96AReJG5jQBnGHuEBMKbzmCHEe8+CEQeIicQssY0y892fEGL4rQ9uu4hTxvSIhqsQZ4gCOz+BaMxomfsRlAsJGBXVZjBs7T3yj8JrPidexSJ3wjljkjgsYs2t+vhF/EC/js6tg4rzQOCEnkQpUQ/dzdQt1Ddc47NDUPLEZX3AJJgU0Q13DPSHV3dEkfqPDd3dB2e9E3Cfe7jNTZog1Ddo4GZOVXTmHsmPV4ZwJZKZhbmwJUVREifiA8x7z2w3iR3jiL/+9RFh2exA3ekXWQ+lgJ7KM8G2Ri5qiT1BthohXUWfmNWjjdE/7QmnRBhvbs3lmZqY1lIM85ogPhbEEni/F+W6X+AgL8h/UkF51II6CeszDb3mxZYW3UP+c6PEIKRq45PG8oNo4GfOgwzkyzU0exhOz8zx3vGN12PvU2eYnsbpyEucwwd/6EJ7tsf3soxSeRNbaQmpUqY1fYzYk/p9FxS/ccRqBIu7Vd6PonFWnq4xDyFclfhZdbxhRL0iZMwBzhmXMPYdUHhdSuRfwxnssZINRt/lhndaK4ok7bR3teSV8mNJvumLPtSxpJrtOswYWNEbPhmJt3JqfSzbjuQ7NjxM2EZAyiJYRiflpbQPcVCjyEGqNaABT+inw2ZbHNR8Tw0fcKlJSCqs7q8GU51B7hdX8TCGIiFi25PeeV9B8si27Wcn5ae09LSkUeh0RM6gpZSfglUt362bMNaHWGye+7rI2zPjTWLQRbMl8R0cb1naRhUVYwn3F8J9VH89Xgre2fcxP603MLm40prn+Uol9rtB2uq/2K1I7I9SF1BOxur/xPY6F2wArGkoGL/OQhKEaqBPL1p83dzKYxP8XfczPfw1mtgvW0eu2WQ8RpWkkkwIz5Acjg3+IWxt2ETNq6XlVeJywoakuP7aI2TQcYo05gbRr4A1njV7BMIh6as6mK6+g3kqj+M8buQxUg9WQB6iBnLZBCoikrFC/ZSTTg99dTRZNj26RbQAAAOd0RVh0TWF0aE1MADxtYXRoIHhtbG5zPSJodHRwOi8vd3d3LnczLm9yZy8xOTk4L01hdGgvTWF0aE1MIj48bWk+dDwvbWk+PG1vPj08L21vPjxtbj4yPC9tbj48bW8+JiN4RDc7PC9tbz48bXN1Yj48bWk+VDwvbWk+PG1uPjUwPC9tbj48L21zdWI+PG1vPj08L21vPjxtbj4zPC9tbj48bW8+JiN4RDc7PC9tbz48bXN1cD48bW4+MTA8L21uPjxtbj45PC9tbj48L21zdXA+PG1pPnk8L21pPjxtaT5yPC9taT48L21hdGg+4SsajwAAAABJRU5ErkJggg==)
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Maths-
India play two matches each with West Indies and Australia .In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is
India play two matches each with West Indies and Australia .In any match the probabilities of India getting points 0, 1 and 2 are 0.45, 0.05 and 0.50 respectively. Assuming that the outcomes are independent, the probability of India getting at least 7 points is
Maths-General
Maths-
If the eccentricities of the hyperbolas
and
be e and
, then ![fraction numerator 1 over denominator e to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator e subscript 1 end subscript superscript 2 end superscript end fraction equals](data:image/png;base64,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)
If the eccentricities of the hyperbolas
and
be e and
, then ![fraction numerator 1 over denominator e to the power of 2 end exponent end fraction plus fraction numerator 1 over denominator e subscript 1 end subscript superscript 2 end superscript end fraction equals](data:image/png;base64,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)
Maths-General
Maths-
The equation of the normal at the point (2, 3) on the ellipse
, is
The equation of the normal at the point (2, 3) on the ellipse
, is
Maths-General
Maths-
The locus of the point of intersection of mutually perpendicular tangent to the ellipse
, is
The locus of the point of intersection of mutually perpendicular tangent to the ellipse
, is
Maths-General
Maths-
The eccentricity of the curve represented by the equation
is
The eccentricity of the curve represented by the equation
is
Maths-General
Maths-
If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an
If a bar of given length moves with its extremities on two fixed straight lines at right angles, then the locus of any point on bar marked on the bar describes a/an
Maths-General
Maths-
If one of the roots is
then the equation of lowest degree with rational coefficients is
If one of the roots is
then the equation of lowest degree with rational coefficients is
Maths-General
Maths-
A running track of 440 ft. is to be laid out enclosing a foot ball field, the shape of which is a rectangle with a semi – circle at each end. If the area of the rectangular portion is maximum, the lengths of the sides are
A running track of 440 ft. is to be laid out enclosing a foot ball field, the shape of which is a rectangle with a semi – circle at each end. If the area of the rectangular portion is maximum, the lengths of the sides are
Maths-General
Maths-
Assuming that stiffness of a beam of rectangular cross – section varies as the breadth and as the cube of the depth, for the stiffest beam which can be cut out of a circular beam of radius ‘r’, breadth must be equal to
Assuming that stiffness of a beam of rectangular cross – section varies as the breadth and as the cube of the depth, for the stiffest beam which can be cut out of a circular beam of radius ‘r’, breadth must be equal to
Maths-General
Maths-
A company desires to manufacture a large number of open metal boxes having a square bottom and a fixed volume of 32 c.c. If the metal used is minimum the dimensions of the box are
A company desires to manufacture a large number of open metal boxes having a square bottom and a fixed volume of 32 c.c. If the metal used is minimum the dimensions of the box are
Maths-General
Physics-
The emf of a cell depends on ...............
The emf of a cell depends on ...............
Physics-General