Home
Class 12
PHYSICS
If energy (E), velcocity (V) and time (T...

If energy (E), velcocity (V) and time (T) were chosen as fundamental physical quantities for measurement, then the dimensional formula for mass will be

A

`[E]^(1) [V]^(2) [T]^(1)`

B

`[E]^(2) [V]^(-2)[T]^(0)`

C

`[E]^(1)[V]^(-2)[T]^(0)`

D

`[E]^(-1)[V]^(2)[T]^(1)`

Text Solution

AI Generated Solution

To find the dimensional formula for mass (M) in terms of energy (E), velocity (V), and time (T), we can start by using the relationship between kinetic energy and mass. ### Step-by-Step Solution: 1. **Understand the relationship between energy and mass**: The kinetic energy (E) of an object is given by the formula: \[ E = \frac{1}{2} m v^2 ...
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

If energy (E ) , velocity (V) and time (T) are chosen as the fundamental quantities , the dimensions formula of surface tension will be

If pressure P, velocity V and time T are taken as fundamental physical quantities, the dimensional formula of force if

If energy (E),velocity (V) and time (T) are chosen as the fundamental quantities, then the dimensions of surface tension will be. (Surface tension=force/length) (A) EV^(-2)T^(-1) " " (B) EV^(-1)T^(-3) " " (C)E^(-2)V^(-1)T^(-3) " " (D)EV^(-2)T^(-2)

A pair of physical quantities having the same dimensional formula are

If the energy (E), velocity (v) and force (F) are taken as fundamental quantities, then what is the dimensional formula for mass?

If the mass time and work are taken as fundamental physical quantities then dimensional formula of length

If force F, Length L and time T are chosen as fundamental quantities , the dimensioal formula for mass is

If energy E , velocity v and time T are taken as fundamental quanties, the dimensional formula for surface tension is

V is the volume of a liquid flowing per second through a capillary tube of length l and radius r, under a pressure difference (p). If the velocity (v), mass (M) and time (T) are taken as the fundamental quantities, then the dimensional formula for eta in the relation V=(pipr^(4))/(8etal)

If force 'F' length 'L' and time 'T' are chosen as fundamental quantities,the dimensional formula for mass is