A system consists of three masses m₁, m₂ and m₃ connected by a string passing over a pulley P. The mass m₁ hangs freely and m₂ and m₃ are on a rough horizontal table (the […]
A speeding motorcyclist sees traffic jam ahead him. He slows down to 36 km hour⁻¹. He finds that traffic has eased and a car moving ahead of him at 18 km hour⁻¹ is honking at […]
A radio isotope X with a half life 1.4 x 10⁹ years decays to Y which is stable. A sample of the rock from a cave was found to contain X and Y in the […]
A projectile is fired from the surface of the earth with a velocity of 5 m s⁻¹ and angle θ with the horizontal. Another projectile fired from another planet with a velocity of 3 m […]
A potentiometer circuit has been set up for finding the internal resistance of a given cell. The main battery, used across the potentiometer wire, has an emf of 2.0V and a negligible internal resistance. The […]
A monoatomic gas at a pressure P, having a volume V expands isothermally to a volume 2V and then adiabatically to a volume 16V. The final pressure of the gas is (Take γ=5/3)
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A conducting sphere of radius R is given a charge Q. The electric potential and the electric field at the centre of the sphere respectively are
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(a) zero and Q/4πε₀R² (b) Q/4πε₀R […]
A certain number of spherical dropes of a liquid of radius r coalesce to form a single drop of radius R and volume V. If T is the surface tension of the liquid, then
A body of mass (4m) is lying in x-y plane at rest. It suddenly explodes into three pieces. Two pieces, each of mass (m) move perpendicular to each other with equal speeds (v). The total […]
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass= 5.98×10²⁴ kg) have to be compressed to be a […]
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