Question

The units of length, velocity and force are doubled. Which of the following is the correct change in the other units?

(a) Unit of time is doubled
(b) Unit of mass is doubled
(c) Unit of momentum is doubled
(d) Unit of energy is doubled
​

Answer 1

Answer:

The dimensions of velocity are LT

−1

.

Since the length is doubled then in velocity there must not be any change in the time in order to make it double.

The dimensions of force are MLT

−2

.

Since the time cannot be doubled and the length is already doubled, in order to double the force the mass cannot change.

The dimensions of momentum are MLT

−1

.

As the time and mass are constant and length is doubled so, the momentum will get doubled.

The dimensions of energy are ML

2

T

−2

.

As the time and mass are constant and length is doubled so, the energy will become four times.

Explanation:

please follow me and vote me and like me

Answer 2

Answer:

(c) unit of momentum is doubled