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The dimensional formula of physical quan...

The dimensional formula of physical quantity is `M^(a) L^(b) T^( c)` . Then that physical quantity is

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
C

Angular frequency = `2pi xx` Frequency
= `[T^(-1)] = [M^(0) L^(0) T^(-1)]`
`therefore a =0 , b = 0 , c = -1`
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