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Question

Write the dimensions of a/b in the relation P=at2bx; where P is the pressure, x is the distance, and t is the time.

A
M1L0T2
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B
ML0T2
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C
ML0T2
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D
MLT2
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Solution

The correct option is A ML0T2
P=at2bx
P=[ML1T2]
a will have same unit as t2. So, a=[T2]
b=[at2px]=[T2][ML1T2L]=[M1L0T4]
ab=[T2][M1L0T4]=[ML0T2]

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