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Q.

If the dimensions of a physical quantity are given by  MaLbTcthen the physical quantity will be

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a

pressure if a = 1, b = -1, c = -2

b

velocity if a =1, b = 0, c = -1

c

acceleration if a = 1, b = 1, c = -2

d

force if a = 0. b = -1. C = -2

answer is A.

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Detailed Solution

(i) Dimensions of velocity  = MoL1T−1Here, a = 0, b = 1, c = -1(ii) Dimensions of acceleration = M0L1T−2Here, a = 0, b = 1 , c = -2(iii) Dimensions of force =  M1L1T−2Here, a = 1, b = 1, T = -2(iv) Dimensions of pressure =  M1L−1T−2  Here, a = 1, b = -1, c = -2 The physical quantity is pressure.
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