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Consider the equation (d)/(dt)(intvec(F)...

Consider the equation `(d)/(dt)(intvec(F).dvec(S))=A(vec(F).vec(rho))` where `vec(F)equiv` force, `vec(s)equiv` displacement, `tequiv` time and `vec(rho)=` momentum. The dimensional formula of `A` will be `:-`

A

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

B

`ML^(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
`[d/(dt)(int vec(F).dvec(S))]=[A(vec(F).vec(p))]rArr[(Fs)/t]=[AFp]rArr[A]=[s/(pt)]=(L)/(MLT^(-1)xxT)=M^(-1)`
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