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A body of mass m starts sliding down a movable inclined plane of mass 2m at t = 0, assuming friction is absent everywhere the kinetic energy of 2m as a function of time is (m remains on 2m) best represented by
The correct answer is:
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In the figure shown, A & B are free to move. All the surfaces are smooth. 
In the figure shown, A & B are free to move. All the surfaces are smooth.
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The ends of two rods of different materials with their thermal conductivities, radii of cross sections and lengths all are in the ratio 1 : 2 are maintained at the same temperature difference. If the rate of flow of heat in the larger rod is 4 cal/sec, that in the shorter rod in cal/sec. will be
The ends of two rods of different materials with their thermal conductivities, radii of cross sections and lengths all are in the ratio 1 : 2 are maintained at the same temperature difference. If the rate of flow of heat in the larger rod is 4 cal/sec, that in the shorter rod in cal/sec. will be
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The diagram shows an equiconvex lens. What should be the condition on the refractive indices so that the lens become diverging?
The diagram shows an equiconvex lens. What should be the condition on the refractive indices so that the lens become diverging?
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In the figure shown man is balanced by counter weight of same mass. He starts to climb the rope with an accelerator of 2 m/s2 w.r.t. rope. The time after which he reaches the pulley will be
In the figure shown man is balanced by counter weight of same mass. He starts to climb the rope with an accelerator of 2 m/s2 w.r.t. rope. The time after which he reaches the pulley will be
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An unknown mass, m1 , hangs from a massless string and descends with an acceleration g/2. The other end is attached to a mass m2 which slides on a frictionless horizontal table. The string goes over a uniform cylinder of mass 
and radius R (see figure). The cylinder rotates about a horizontal axis without friction and the string does not slip on the cylinder. Express your answers in parts b, c and d in terms of g, 
An unknown mass, m1 , hangs from a massless string and descends with an acceleration g/2. The other end is attached to a mass m2 which slides on a frictionless horizontal table. The string goes over a uniform cylinder of mass and radius R (see figure). The cylinder rotates about a horizontal axis without friction and the string does not slip on the cylinder. Express your answers in parts b, c and d in terms of g,
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A block of weight 9.8N is placed on a table. The table surface exerts an upward force of 10N on the block. Assume 
A block of weight 9.8N is placed on a table. The table surface exerts an upward force of 10N on the block. Assume
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The values of 
for final rays to be parallel to the principle axis are: (focal lengths of the lenses are written on the lenses)
The values of for final rays to be parallel to the principle axis are: (focal lengths of the lenses are written on the lenses)
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Two convex lenses of focal length f and 2f are arranged to have their foci at the same point as shown in the figure. A beam of parallel light of diameter 1 cm is incident into the first lens. The beam emerging from the second lens is
Two convex lenses of focal length f and 2f are arranged to have their foci at the same point as shown in the figure. A beam of parallel light of diameter 1 cm is incident into the first lens. The beam emerging from the second lens is
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Figure shows the behaviour of light rays with respect to a plano-convex lens whose plane surface is silvered as shown in the figure. If the refractive index of the material of the lens is 1.5, th/e radius of curvature of the curved part of the lens is
Figure shows the behaviour of light rays with respect to a plano-convex lens whose plane surface is silvered as shown in the figure. If the refractive index of the material of the lens is 1.5, th/e radius of curvature of the curved part of the lens is
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Choose the correct mirror-image of the figure given
Choose the correct mirror-image of the figure given
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In the situation shown in the adjacent figure, what is the maximum elongation produced in the spring if initially the spring is relaxed (consider all contact surfaces to be smooth)?
In the situation shown in the adjacent figure, what is the maximum elongation produced in the spring if initially the spring is relaxed (consider all contact surfaces to be smooth)?
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A monkey jumps from ball A onto ball B which are suspended from inextensible light string each of length L. The mass of each ball & monkey is same. What should be the minimum relative velocity of jump w.r.t. ball, if both the balls manage to complete the circle?
A monkey jumps from ball A onto ball B which are suspended from inextensible light string each of length L. The mass of each ball & monkey is same. What should be the minimum relative velocity of jump w.r.t. ball, if both the balls manage to complete the circle?
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A 5.0 kg block is placed on top of a 10.0 kg block (see figure). A horizontal force of 45 N is applied to the 10 kg block, and the 5.0 kg block is tied to the wall. The coefficient of kinetic friction between the two blocks, and between the blocks and the floor, is 0.2.
A 5.0 kg block is placed on top of a 10.0 kg block (see figure). A horizontal force of 45 N is applied to the 10 kg block, and the 5.0 kg block is tied to the wall. The coefficient of kinetic friction between the two blocks, and between the blocks and the floor, is 0.2.
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A certain prism is found to produce a minimum deviation of 
It produces a deviation of 
when the angle of incidence is either 
What is the angle of incidence when it is undergoing minimum deviation?
A certain prism is found to produce a minimum deviation of It produces a deviation of when the angle of incidence is either What is the angle of incidence when it is undergoing minimum deviation?
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A ball of mass m is attached to a rigid vertical rod by means of two massless strings with length L. The strings are attached to the rod at points a distance L apart (see Figure). The system is rotating about the axis of the rod, both strings being taut and forming an equilateral triangle. The tension in the upper string is 
A ball of mass m is attached to a rigid vertical rod by means of two massless strings with length L. The strings are attached to the rod at points a distance L apart (see Figure). The system is rotating about the axis of the rod, both strings being taut and forming an equilateral triangle. The tension in the upper string is
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