A particle accelerates from rest at a constant rate for some time and attains a peak velocity of 8 m s−1. Afterwards, it decelerates at the same rate and comes to rest. If the total time taken is 4 seconds, the total distance travelled is _____.
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A rubber ball is dropped from a height of 5 m on a planet where the acceleration due to gravity is not known. On bouncing, it rises to 1.8 m. The ball loses its velocity on bouncing by a factor of
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A body of mass 1 kg makes an elastic collision with another body at rest and continues to move in the original direction after collision with a velocity equal to 14 of its original velocity. The mass of the second body is
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A rocket of mass M is launched vertically from the surface of the earth with an initial speed V. Assuming the radius of the earth to be R and negligible air resistance, the maximum height attained by the rocket above the surface of the earth is
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When a capillary tube is placed in mercury, we see that__
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A wheel is rotating at the rate of 20 rev min−1 in clockwise direction. What should be the magnitude of the angular acceleration of the wheel so that it stops rotating in 10 s?
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To keep the current flowing in a conductor continuously we need to maintain a constant ___ difference across its terminal.
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Statement I : Rays incident on a convex mirror from a point source of light, after reflection diverge. Statement II : A convex mirror can never form a real image for a point source of light.
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A particular guitar wire is 30.0 cm long and vibrates at a frequency of 196 Hz when no finger is placed on it. The next higher notes on the scale are 220 Hz, 247 Hz, 262 Hz and 294 Hz. How far from the end of the string must the finger be placed to play these notes?
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A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his density remains the same, the stress in the leg will change by a factor of:91981181
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A thin uniform circular ring is rolling down an inclined plane of inclination 30∘ without slipping. Its linear acceleration along the inclined plane will be
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The voltage time (V-t) graph for triangular wave having peak value V0 is as shown in fig.The rms value of V in time interval from t=0 to T/4 is
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Graph shows the x(t) curves for three experiments involving a particular spring-block system oscillating in SHM. The kinetic energy of the system is maximum at t=4 sec, for the situation:
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The distance of a point from the earth's centre where the resultant gravitational field due to the earth and the moon is zero is...( The mass of the earth is 6.0× 1024 kg and that of the moon is 7.4× 1022 kg. The distance between the earth and the moon is 40 × 105 km.
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Two bodies of masses M1 and M2 are initially at rest at infinite distance apart. They are then allowed to move towards each other under mutual gravitational attraction. Their relative velocity of approach at a separation distance r between them is
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