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Q.

If dimensions of length are expressed as GxcYhZ =, where G, c and h are the universal gravitational constant, speed of light and Planck constant respectively, then :(i) X = (1/2), y = (1/2)(ii) x = (1/2), z = (1/2)(iii) y = (-3/2), z = (1/2)(iv) y = (1/2), z = (3/2)

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a

(ii, iv)

b

(ii, iii)

c

(i, iii)

d

(i, ii, iv)

answer is B.

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Detailed Solution

hGC3=ML2T-1M-1L3T-2L3T-3 L=h1/2G1/2C-3/2 Y=-3/2  Z=1/2
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