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General
Easy
Question
A massless rod of length 
is hung from the ceiling with the help of two identical wires attached at its ends. A block is hung on the rod at a distance x from the left end. In this case, the frequency of the 1st harmonic of the wire on the left end is equal to the frequency of the 2nd harmonic of the wire on the right. The value of x is
The correct answer is:
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An incandescent light bulb has a tungsten filament that is heated to a temperature 
when an electric current passes through it. If the surface area of the filament is approximately 
and it has an emissivity of 0.32, the power radiated by the bulb is
An incandescent light bulb has a tungsten filament that is heated to a temperature when an electric current passes through it. If the surface area of the filament is approximately and it has an emissivity of 0.32, the power radiated by the bulb is
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One end of a cylindrical rod is kept in steam chamber and the other end in melting Ice. Now 0.5 gm of ice melts in 1 sec. If the rod is replaced by another rod of same length, half the diameter and double the conductivity of the first rod, then rate of melting of ice will be
One end of a cylindrical rod is kept in steam chamber and the other end in melting Ice. Now 0.5 gm of ice melts in 1 sec. If the rod is replaced by another rod of same length, half the diameter and double the conductivity of the first rod, then rate of melting of ice will be
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A compound microscope has an objective lens of 1 cm and eyepiece of 2.5 cm focal length. When the object is placed at 1.1 cm from the objective, the final image is at the least distance of distant vision, the magnification produced and length of microscope is (nearly)
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The effective focal length of the lens combination shown in figure is -60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is
The effective focal length of the lens combination shown in figure is -60 cm. The radii of curvature of the curved surfaces of the plano-convex lenses are 12 cm each and refractive index of the material of the lens is 1.5. The refractive index of the liquid is
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A prism of glass 
is dipped in to water as shown in the figure. If the refractive index of water is 4/3, then the incident ray will be totally reflected if
A prism of glass is dipped in to water as shown in the figure. If the refractive index of water is 4/3, then the incident ray will be totally reflected if
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A layer of oil 3 cm thick is floating on a layer of coloured water 5 cm thick. The refractive index of the coloured water is 5/3 and the apparent depth of the two liquids is 
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A layer of oil 3 cm thick is floating on a layer of coloured water 5 cm thick. The refractive index of the coloured water is 5/3 and the apparent depth of the two liquids is . Then the refractive index of theoil is,
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Four lenses A, B, C and D of power +100D,-50D,20D and 5D. Which lenses will you use to design a compound microscope for best magnification?
Four lenses A, B, C and D of power +100D,-50D,20D and 5D. Which lenses will you use to design a compound microscope for best magnification?
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A convergent lens of power 16D is used as a simple microscope. The magnification produced by the lens, when the final image is formed at least distance of distinct vision is
A convergent lens of power 16D is used as a simple microscope. The magnification produced by the lens, when the final image is formed at least distance of distinct vision is
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A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected. If 
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A ray of light passes through an equilateral prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles equal to 3/4 of angle of the prism. The angle of deviation is
A ray of light passes through an equilateral prism in such a manner that the angle of incidence is equal to the angle of emergence and each of these angles equal to 3/4 of angle of the prism. The angle of deviation is
Physics-General
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A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected. If , the refractive index of glass is
A triangular prism of glass is shown in the figure. A ray incident normally to one face is totally reflected. If , the refractive index of glass is
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The minimum deviation produced by a hollow prism filled with a certain liquid to be 30° The light ray is also found to be refracted at angle 30° The refractive index of the liquid is
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A Boat is travelling in a river with a speed 10 m/s along the stream flowing river through a rigid support. The wave length of the sound emitted from the transmitter inside the water is 14.45 mm. Assume that attenuation of sound in water and air is negligible (Temp of air & water =20°C. Density of river 
mean molecular wt of air =
and 
of air =1.4) Find frequency of sound detected by the receiver in air :
A Boat is travelling in a river with a speed 10 m/s along the stream flowing river through a rigid support. The wave length of the sound emitted from the transmitter inside the water is 14.45 mm. Assume that attenuation of sound in water and air is negligible (Temp of air & water =20°C. Density of river mean molecular wt of air = and of air =1.4) Find frequency of sound detected by the receiver in air :
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As shown in the figure two sources producing sound 
and 
(velocity of sound 360 m/sec ) each producing sound of frequency 200 Hz is rotating anti clock wise where as is approaching observer O each with a speed 10 m/sec. (neglect radius of circular path of 
), then calculate
Range of number of beats received by observer O at rest is (nearly)
As shown in the figure two sources producing sound and (velocity of sound 360 m/sec ) each producing sound of frequency 200 Hz is rotating anti clock wise where as is approaching observer O each with a speed 10 m/sec. (neglect radius of circular path of ), then calculate
Range of number of beats received by observer O at rest is (nearly)
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By observing an alternating Doppler shift of a spectral line, the astronomers can deduce the existence of a binary star system, which otherwise cannot be resolved visually. Suppose that an astronomical observation shows that the source of light is eclipsed once every 18h. The wavelength of the spectral line observed changes for a maximum of 563 nm to a minimum of 539 nm. Assume that the binary system consists of two identical stars. Determine the mass of each object.
By observing an alternating Doppler shift of a spectral line, the astronomers can deduce the existence of a binary star system, which otherwise cannot be resolved visually. Suppose that an astronomical observation shows that the source of light is eclipsed once every 18h. The wavelength of the spectral line observed changes for a maximum of 563 nm to a minimum of 539 nm. Assume that the binary system consists of two identical stars. Determine the mass of each object.
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