The frequency of vibration of a string depends of on,
(i) tension in the string
(ii) mass per unit length of string
(iii) vibrating length of the string
Establish dimensionally the relation for frequency.

A car moving uniform motion with speed 120 kmh^-2 is brought to a stop within a distance of 200 m. How long does it take for the car to stop?

Briefly explain how is a horse able to pull a cart.

Derive an expression for the potential energy of an elastic stretched spring.

Discuss how the rolling is the combination of translational and rotational and also be possibilities of velocity of different points in pure rolling.

The terminal velocity of a tiny droplet is V. N number of such identical droplets combine together forming a bigger drop v Find the terminal velocity of the bigger drop?

Distinguish between isothermal and adiabatic process.

Speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at -20°C? [Atomic mass of Ar =39.90, He =4.04]

The bob of simple pendulum executes S.H.M is water with a period t, while the period of oscillation of the bob is to in air, neglecting frictional force of water and given that the density of the bob is \(\frac{4000}{3}\)kg m^-3, find the relationship between t and t₀?

A transverse harmonic wave on a string is described by y(x, t) = 5.0 sin (48t + 0.0264x + ), where x and y are in cm and t in sec. The positive direction of x is from left to right.
(a) What are its amplitude and frequency?
(b) What is the least distance between two success in crests in the wave?