Question

Q.1] Select and write the most appropriate answer from the given alternatives for each
sub-question.
1) Dimensions of Kinetic energy are the same as that of
a) Force b) Acceleration c) Work d) Pressure​

Answer 1

Work

Explanation:

The kinetic energy of an object is given by :

$ex = \frac{1}{2} \times m \times {v}^{2}$

The dimensional formula of

$(m) = m$

The dimensional formula of

So, the dimensional formula of kinetic energy,

Force required of an object is given by :

The dimensional formula of Force,

The dimensional formula of acceleration,

Work done is given by :

The dimensional formula of work done is

The formula of pressure is given by :

The dimensional formula of pressure is,

So, the dimension of kinetic energy is same as work. Hence, the correct option is (c).