Q.

If the dimensions of length are expressed as Gxcyhz; where G, c and h are the universal gravitational constant, speed of light and Planck’s constant respectively, then (x + z) is

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answer is 1.

(Detailed Solution Below)

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Detailed Solution

Length ∝Gxcyhz L = M-1L3T-2xLT-1yML2T-1zBy comparing the power of M, L and T in both sides we get - x + z = 0, 3x + y + 2z = 1 and -2x – y – z = 0By solving above three equations we getx =12,y=−32,z=12

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