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Physics Units, Dimensions and Measurement Mix MCQ (Single Correct)

The speed of light , gravitational constant and Planck's constant are taken as the fundamental units in a system. The dimension of time in this new system should be

A
B
C
D

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The correct answer is:
A

Time

Putting the dimensions in the above relation

Comparing the powers of and

…(i)

… (ii)

… (iii)

On solving equations (i) and (ii) and (iii)

Hence dimension of time are

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