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If the force is proportional to square o...

If the force is proportional to square of velocity, the the dimensional of proportionality constant is

A

`MLT^(0)`

B

`ML^(-1)T^(0)`

C

`MLT^(-1)`

D

`ML^(-2)T`

Text Solution

Verified by Experts

The correct Answer is:
B

`FpropV^(2)impliesF=KV^(2)impliesK=(F)/(V^(2))`
dimensionally, `K=(MLT^(-2))/(L^(2)T^(-2))=[ML^(-1)T^(0)]`.
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