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Q.

The dimensions of ab  in the equation p=a−t2bx  where p is pressure, x  is distance and t is time are

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a

[M2LT−3]

b

[MT−2]

c

[ML3T−1]

d

[LT−3]

answer is B.

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Detailed Solution

p=a−t2bx       ⇒            pbx=a−t2 ⇒                  [pbx]=[a]=[T2] Or [b]=[T2][p][x]=[T2][ML−1T−2][L]=[M−1T4] ∴          [ab]=[T2][M−1T4]=[MT−2]
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