AP EAMCET · PHYSICS · Units and Dimensions
If \(A\) represents Boltzmann constant, \(B\) represents Planck's constant and \(C\) represents speed of light in vacuum, then the quantity having the dimensions of \(A^4 B^{-3} C^{-2}\) is
- A universal gas constant
- B specific heat capacity
- C stefan’s constant
- D heat energy
Answer & Solution
Correct Answer
(C) stefan’s constant
Step-by-step Solution
Detailed explanation
Dimension of Boltzmann's constant \(A=\frac{\mathrm{J}}{\mathrm{K}}=\frac{\mathrm{ML}^2 \mathrm{~T}^{-2}}{\mathrm{~K}^1}=\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]\) Dimension of Planck constant \(B=\mathrm{Js}=\left[\mathrm{ML}^2 \mathrm{~T}^{-1}\right]\)…
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