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Q.

Suppose the torque acting on a body is given by τ=RL+(MI/ω) where L - angular momentum, I -moment of inertia and ω = angular speed. The dimensional formula for K M is same as that for

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a

time-4

b

time-2

c

time2

d

time4

answer is A.

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Detailed Solution

K=τL=ML2T−2ML2T−1=T−1[M]=τωI=ML2T−2T−1ML2=T−3∴ [KM]=T−1T−3=time−4
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