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Young’s modulus of elasticity Y is expressed in terms of three derived quantities, namely gravitational constant G, Planck’s constant h and speed of light C as $Y = C^{α} h^{β} G^{γ} .$ Which of the following is correct option.

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$α = 7, β = - 1, γ = 2$

$α = - 7, β = 1, γ = - 2$

$α = - 7, β = - 1, γ = - 2$

$α = 7, β = - 1, γ = - 2$

answer is B.

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Detailed Solution

$y = C^{α} h^{β} G^{γ}$

$[M^{1} L^{- 1} T^{- 2}] = {[L T^{- 1}]}^{α} {[M^{1} L^{2} T^{- 1}]}^{β} {[M^{- 1} L^{3} T^{- 2}]}^{γ}$

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