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A uniform sphere of mass 500 g rolls without slipping on a plane surface so that its centre moves at a speed of 0.02 m/s . The total kinetic energy of rolling sphere would be (in J)

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The refractive index of the material of a prism is 1.5 and its refracting angle is 6°. find the deviation produced by the prism for a small angle of incidence.

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The refractive index of the material of a prism is 1.5 and its refracting angle is 6°. find the deviation produced by the prism for a small angle of incidence.

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A moving mass of 8 kg collides elastically with a stationary mass of 2 kg.If KE be the initial kinetic energy of the moving mass, the kinetic energy left with it after the collision will be :

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The moment of inertia of thin disc of mass m and radius r, about an axis passing through one of its diameter is given by

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A bullet fired at an angle of 30 degree with the horizontal hits the ground 3.0 km away. By adjusting its angle of projection, can one hope to hit a target 5.0 km away? Assume the muzzle speed to be fixed, and neglect air resistance.

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The velocity of light (c), acceleration due to gravity (g), and atmospheric pressure (p) are chosen a fundamental units, then the dimensions of length will be

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Two bodies of masses ‘m’ and ‘2m’ are moving with velocities of ‘2v’ and ‘v’ respectively. calculate the ratio of theIRR (i) momentum (ii) inertia.

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Two steel wires having same length are suspended from a ceiling under the same load. If the ratio of their energy stored per unit volume is 1 : 4, the ratio of their diameters is:

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What is the strength of the magnetic field around a thin, long straight conductor?

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