In a new system unit of force is 50 N , unit of velocity is 5 m / s and unit of frequency is 2 Hz then choose the correct statement(s) :

Question

TestHub · Accepted Answer

Concepts: Dimensional analysis is used to find the new units of mass, length, and time.

Solution:

Given: $[F_{1}] = 50 N$ , $[V_{1}] = 5 m / s$ , $[f_{1}] = 2 Hz$ .

$[T_{1}] = \frac{1}{[ f _{1} ]} = 0.5 s$ .

$[L_{1}] = [V_{1}] \times [T_{1}] = 5 \times 0.5 = 2.5 m$ .

$[M_{1}] = \frac{[ F _{1} ] \times [ T _{1} ] ^{2}}{[ L _{1} ]} = \frac{50 \times ( 0.5 ) ^{2}}{2.5} = 5 k g$ .

Options A, B, and C are correct.

Physics - Unit & Dimension Question with Solution | TestHub