Question

In acceleration(A), velocity (V) and mass(M) are taken as fundamental quantities, then dimension formula of length is

Answer 1

Answer:V^2A^-1

Explanation:here is your explanation

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Answer 2

The dimensional formula of length is V²/A.

Given:

Fundamental quantities:

Acceleration = A

Velocity = V

Mass = M

To find: Dimensional formula of length

Solution:

Let us assume the dimensional formula of length to be L and time as T

⇒ A = L$T^{-2}$

Also,

V = L$T^{-1}$

M is already a fundamental quantity

⇒ M = M

According to the question,

A and V are fundamental units

Dividing V² by A, we get

⇒ V²/A = $\frac{L^{2} T^{-2} }{LT^{-2} }$ = L

⇒ L = V²/A

∴ The dimensional formula of length is V²/A.

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