First slide

Dimensions of physical quantities

Question

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

Moderate

A

Unit of time is doubled
B

Unit of mass is doubled
C

Unit of momentum is doubled
D

Unit of energy is doubled

Solution

Since, units of length, velocity and force are, doubled.
Hence,
$[m] = \frac{[force] [time]}{[velocity]} [time] = \frac{[lengh]}{[velocity]}$
Hence, unit of mass and time remain same. Momentum is doubled.

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