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Question

A physical quantity of the dimension of length that can be formed out of c, G ande24πε0 is [c is velocity of light, G is universal constant of gravitation and e is charge]



A

1c2[Ge24πε0]12

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B

c2[Ge24πε0]12

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C

1c2[e2G4πε0]12

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D

1cGe24πε0

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Solution

The correct option is A

1c2[Ge24πε0]12


Let e24πε0=A=ML3T2I=CxGy(A)zL=[LT1]x[M1L3T2]y[ML3T2]zy+z=0y=z.....(i)x+3y+3z=1....(ii)x4z=0.....(iii)From (i), (ii) and (iii)z=y=12,x=2 


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