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The dimension of $\frac{a}{b}$ in the equation $P = \frac{a - t^{2}}{b x},$ where P is pressure, x is distance and t is time, is

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MT−2

M2LT−3

ML3T−1

LT−3

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Correct option is A

[a]=T2 and [b]=a−t2[P][x]=T2ML−1T−2[L]⇒ [b]=M−1T4 So ab=T2M−1T4=MT−2

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The dimension of ab in the equation P=a−t2bx,where P is pressure, x is distance and t is time, is

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The dimension of $\frac{a}{b}$ in the equation $P = \frac{a - t^{2}}{b x},$ where P is pressure, x is distance and t is time, is