Question

The dimension of work is

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Answer 1

Answer:

Therefore, work is dimensionally represented as = M¹ L² T^-2

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Answer 2

The dimensional formula of Work is given by,

M1 L-2 T-2

Where,

M = Mass

L = Length

T = Time

Derivation

Work (W) = Force × Displacement . . . . . (1)

Since, Force = Mass × acceleration = M × [L T-2]

∴ The dimensional formula of Force = M1 L1 T-2 . . . . (2)

On substituting equation (2) in equation (1) we get,

Work = Force × Displacement

Or, W = [M1 L1 T-2] × [M0 L1 T0] = [M1 L2 T-2].

Therefore, work is dimensionally represented as [M1 L2 T-2].

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