Derive the formula for kinetic energy of a particle having mass m and velocity v using dimensional analysis

Derive formula for kinetic energy of a body having mass M and velocity V using dimensional analysis.

Derive the formula for K.E of a particle having mass m and velocity v using dimensional analysis.

Derive the formula for critical velocity (V).

Answer the following questions: Derive the formula for the kinetic energy of an object of mass m moving with velocity v.

Define dimensions and state uses of dimensional analysis.

The De Broglie wavelength associated with a particle of mass m and velocity v is given by

The wavelength of a particle of mass m and energy E_K will be

Derive an expression for:- Kinetic energy per molecule

Derive an expression for:- Kinetic energy per unit mass

1 kg mass has a kinetic energy of 2 joule. Calculate its velocity