The power factor of an A.C. circuit having resistance (R) and inductance (L) connected in series and an angular velocity is ω is
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A bucket tied at the end of a 1.6 m long string is whirled in a vertical circle with cosntant speed. What should be the minimum speed so that the water from the bucket does not spill, when the bucket is at the highest position (Take g = 10 m/sec2)
Two trolleys of masses m and 3m are connected by a spring. They are compressed and released once. They move off in opposite directions and come to rest after covering distances S1 and S2 respectively. Assuming coefficient of friction uniform, the ratio of the distances S1 : S2 is
The distance of a planet from the sun is 5 times the distance between the earth and the sun. The time period of the planet is
The Young's modulus of a wire of length (L) and radius (r) is Y N-m⁻2. If the length is reduced to L/2 and radius to r/2, then Young's modulus for the wire will be
A capillary tube when immersed vertically in a liquid records a rise of 3 mm. If the tube is immersed in the liquid at an angle of 60o with the vertical, then height of the liquid in the capillary tube will be
The moment of inertia of a sphere of radius R and mass M about a tangent to the sphere is
The acceleration \'a\' in m/s2 of a particle is given by a=3t2+2t+2 where t is the time. If the particle starts out with a velocity ν=2 m/s at t=0, then the velocity at the end of 2 second is
A particle moves towards east with velocity 5 m/s. After 10 seconds its direction changes towards north with same velocity. The average acceleration of the particle is
Two stones are projected with the same speed but making different angles with the horizontal. Their horizontal ranges are equal. The angles of projection of one is π/3 and the maximum height reached by it in 102 metres. Then the maximum height reached by the other in metres is
1 videos|26 docs|121 tests
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1 videos|26 docs|121 tests
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