A physical quantity of the dimensions of length that can be formed out of c, G and e24πε0c is velocity of light, G is universal constant of gravitation and e is charge]
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a
c2Ge24πε01/2
b
1c2e2G4πε01/2
c
1cGe24πε0
d
1c2Ge24πε01/2
answer is D.
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Detailed Solution
Dimensions of e24πεo=F×d2=ML3 T-2 Dimensions of G=M-1L3T-2 Dimensions of c=LT-1l∝e24πεopGqcr∴ L1=ML3 T-2pM-1 L3 T-2qLT-1rOn comparing both sides and solving, we get p=12, q=12 and r=-2∴l=1c2Ge24πεo1/2
A physical quantity of the dimensions of length that can be formed out of c, G and e24πε0c is velocity of light, G is universal constant of gravitation and e is charge]