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A physical quantity X depends on another...

A physical quantity X depends on another physical quantities as `X=YFe^(-beta r^(2))+ZW sin (alpha r)` where r, F and W represents distance, force and work respectively & Y and Z are unknown physical quantities and `alpha, beta` are positive contsnats.
If T represent velocity then `dim (X)` is equal to

A

`ML^(2) T^(-3)`

B

`M^(-1)L^(2) T^(-3)`

C

`ML^(2)T^(-2)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A
If `D(Y)=[LT^(-1)]` then `D(X)=[LT^(-1)MLT^(-2)]=[ML^(2)T^(-3)]` from equation (i)
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