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Physics Question on Dimensional Analysis

The dimensional formula of physical quantity is [Ma Lb Tc][M^a \,L^b\, T^c]. Then that physical quantity is

A

surface tension if a=1a = 1 , b=1b = 1 ,c=−2 c = -2

B

force if a=1a = 1, b=1b = 1, c=2c = 2

C

angular frequency if a=0a = 0, b=0b = 0, c=−1c = -1

D

spring constant if a=1a = 1, b=−1b = -1, c=−2c = -2

Answer

angular frequency if a=0a = 0, b=0b = 0, c=−1c = -1

Explanation

Solution

Dimensional formula for frequency is [M0L0T−1]\left[ M ^{0} L ^{0} T ^{-1}\right]