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Question

If dimensions of length are expressed as Gxcyhz where G, c and h are universal gravitational constants, speed of light and Planck's constant respectively then:
  1. x=12,y=12
  2. x=12,z=13
  3. y=32,z=12
  4. y=12,z=32


Solution

The correct option is C y=32,z=12
Length [G]x[C]y[h]zM0L1T0[M1L3T2]x[LT1]y[ML2T1]zM0L1T0[M]zx[L]3x+y+2z[T]2xyz
On comparing we get 
x=z=12,y=32

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