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Question: In the given relation P = \(\frac{b - x^{2}}{at}\), where P is power, x is distance and t is time, t...

In the given relation P = bx2at\frac{b - x^{2}}{at}, where P is power, x is distance and t is time, the dimensions of 'a' will be –

A

[M–1 L0 T–2]

B

[M–1 L0 T2]

C

[M0L2T0]

D

[MLT–1]

Answer

M<sup>1</sup>L<sup>0</sup>T<sup>2</sup>M<sup>–1</sup> L<sup>0</sup> T<sup>2</sup>

Explanation

Solution

a = [L2][ML2T2]\frac{\lbrack L^{2}\rbrack}{\lbrack ML^{2}T^{- 2}\rbrack} = [M–1L0T2]