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qUESTIONS

A particle is moving along the x-axis with its co-ordinate with time t given by x(t) = 10 + 8t – 3t² Another particle is moving along the y-axis with its co-ordinate as a function of time given by y(t) = 5 – 8t³ At t = 1s the speed of the second particle as measured in the frame of the first particle is given as √v Then v (in m / s ) is

A ball is dropped from the top of a 100 m high tower on a planet. In the last 1/2 s before hitting the ground, it covers a distance of 19 m. Acceleration due to gravity (in ms-²) near the surface on that planet is

The distance x covered by a particle in one dimensional motion varies with time tas x² = at² + 2bt +c. If the acceleration of the particle depends on x as x^-n where n is an integer, the value of n is…

If the velocity-time graph has the shape AMB, what would be the shape of the corresponding acceleration-time graph

A particle is projected with velocity v0 to along x-axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin ie, ma = – ax² The distance at which the particle stops

The relation 3t = √3x +6 describes the displacement of a particle in one direction where x is in meters and t in sec. The displacement, when velocity is zero, is

Which of the following cannot determine the state of a thermodynamic system?

One mole of an ideal gas goes from an initial state A to final state B via two processes: It first undergoes isothermal expansion from volume V to 3V and then its volume is reduced from 3V to V at constant pressure. The correct P-V diagram representing the two processes is

0.100 mol of an ideal gas is heated from 10 to 20°C keeping its (a) volume constant (b) pressure constant. Let ΔUa, and ΔUb, denote the change in the internal energy of the gas due to process (a) and (b) respectively. Then which of the following shall be true

When two bodies A and B are in thermal equilibrium

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