The dimensions of (μ_οε_ο)^-1/2 are

If dimensions of critical velocity V_c of a liquid flowing through a tube are expressed as [η^xρ^yr^z] where η, ρ and r are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by:

If C and R denote capacitance and resistance, the dimensional formula of CR is

If error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be:

The distance travelled by a particle starting from rest and moving with an acceleration 4/3 ms^-2, in the third second is

A particle moves a distance x in time t according to equation x = (t+ 5)^-1 . The acceleration of the particle is proportional to

A car runs at a constant speed on a circular track of radius 100m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is

A particle moves along a straight line 0X. At a time t the distance x of the particle from O is given by x = 40 + 12t - t³ . How long would the particle travel before coming to rest?

A car accelerates from rest at a constant rate α for some time after which it decelerates at a constant rate β and comes to rest. If total time elapsed is t, the maximum velocity acquired by car will be

A particle moves along a straight line such that its displacement at any time t is given by s = (t³ - 6t² + 3t + 4)m. The velocity when the acceleration is zero is

A train accelerates from rest at a constant rate α for distance x₁ and time t₁. After that is retards at constant rate β for distance x₂ and time t₂ and comes to the rest. Which of the following relation is correct:

A person walks up a stalled escalator in 90sec. When standing on the same escalator now moving, he is carried in 60sec. The time he would take to walk up the moving escalator will be:

A particle is located at x =0 at time t =0, starts moving along the positive x-direction with a velocity v which varies as v = α√x then velocity of particle varies with time as

If a car covers 2/5th of the total distance with speed v₁ and 3/5th distance v₂ speed, then average speed is

A body moving with a uniform acceleration crosses a distance of 65m in the 5^th second and 105m in 9^th second. How far will it go in 20sec?

A man is 45m behind the bus when the bus starts accelerating from rest with acceleration 2.5 m.s^-2 . With what minimum velocity should the man start running to catch the bus?

An automobile traveling with a speed of 60km/h, can brake to stop within a distance of 20m. If the car is going twice as fast., 120kh/h, the stopping distance will be

A car, starting from rest, accelerates at the rate f through a distance S, then continue at constant speed for time t and then decelerates at the rate f/2 to come to rest. If the total distance traversed is 15S, then

Assertion: An object may have varying speed without having varying velocity

Reason: If the velocity is zero at an instant, the acceleration should also be zero at that instant

A body moving with a uniform acceleration crosses a distance 65m in the 5th second and 105m in 9th second. How far will it go in 20s?

An automobile travelling with a speed of 60 km/h, can brake to stop within a distance of 20m. If the car is going twice as fast i.e., 120 km/h, the stopping distance will be-

A particle when thrown, moves such that it passes from same height at 2 and 10 seconds, then the height h is

A stone thrown upwards with speed u from the top of the tower reaches the ground with a velocity 3u. The height of the tower is -

A stone falls freely from the rest from a height h and it travels a dsitance 9h/25 in the last second. The value of h is -