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  

(1) x=12,  y=12

(2) x=12,  z=12

(3) y=12,  z=32

(4) y=32,  z=12

Concept Videos :-

#1 | Basic Concepts & Examples
#2 | Dimensional Analysis : Remaining

Concept Questions :-

(2, 4) Length Gxcyhz

L= [M1L3T2]x[LT1]y[ML2T1]z

By comparing the power of M, L and T in both sides we get x+z=0, 3x+y+2z=1 and 2xyz=0

By solving above three equations we get

x=12,y=32,z=12 

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