Q.

Write the dimensions of a/b in the relation P=a−t2bx, where P is the pressure, x is the distance, and t is the time.

Moderate

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By Expert Faculty of Sri Chaitanya

M−1L0T−2

ML0T−2

ML0T2

MLT−2

answer is 2.

(Detailed Solution Below)

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Detailed Solution

Here a has the same dimensions as t2.a=T2,b=T2P⋅x=T2ML−1T−2L1=T4M=M−1T4Now ab=T2M−1T4=ML0T−2

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