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Consider the equation d/(dt)(int vec(F)....

Consider the equation `d/(dt)(int vec(F). dvec(S))=A(vec(F).vec(p))` where `vec(F) equiv` force, `vec(s) equiv` displacement, t `equiv` time and `vec(p)`= momentum. The dimensional formula of A will be

A

`M^(0)L^(0)T^(0)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
Appying dimensional analysis
`([MLT^(-2)][L])/([MLT^(-1)][MLT^(-2)]) = A`
`=[M^(-1)L^(0)T^(0)] = A`
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