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If E , M , J , and G , respectively , de...

If `E , M , J , and G` , respectively , denote energy , mass , angular momentum , and gravitational constant , then `EJ^(2) //M^(5) G^(2)` has the dimensions of

A

angle

B

length

C

mass

D

time

Text Solution

Verified by Experts

The correct Answer is:
A
`[E] = [ML^2 T^(-2)], [m] = [M]`,
`[l] = [ML^2T^(-1)], [G] = [M^(-1)L^3T^(-2)]" ":." "[(El^2)/(m^5G^2)] = ([ML^2L^(-2)][M^2L^4T^(-2)])/([M^5][M^(-2)L^(6)T^(-4)]) = [M^0L^0T^0]`
As angle has no dimension, this has the same dimension as the angle.
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