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The damping force acting on an oscillati...

The damping force acting on an oscillating body is proportional to its velocity i.e. F = Kv. What is the dimensional formula for K?

A

`[M^(1)L^(1)T^(-1)]`

B

`[M^(1)L^(0)T^(-1)]`

C

`[M^(0)L^(1)T^(-2)]`

D

`[M^(1)L^(0)T^(1)]`

Text Solution

Verified by Experts

The correct Answer is:
b
`because F=KvorK=(F)/(v)`
`therefore [K]=[(F)/(v)]=[(M^(1)L^(1)T^(-2))/(L^(1)T^(-1))]=[M^(1)L^(0)T^(-1)]`
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