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Q.

If ‘A’ represents Boltzmann constant, ‘B’ represents planck’s constant and ‘C’ represents speed of light in vaccum, then the quantity having the dimensions of $A^{4} B^{- 3} C^{- 2}$ is

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a

Universal gas constant

b

Specific heat capacity

c

stefan’s constnat

d

heat energy

answer is C.

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Detailed Solution

$A = \frac{E n e r g y}{T e m p e r a t u r e} = M L^{2} T^{- 2} k^{- 1}$

$B = E n e r g y . \sec o n d = M L^{2} T^{- 1}$

$C = L T^{- 1}$

$A^{4} B^{- 3} C^{- 2} = M^{1} L^{0} T^{- 3} K^{- 4}$

Stefan’s constant =

$σ = \frac{E}{T^{4} A . t} = (M^{1} L^{0} T^{- 3} K^{- 4})$

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