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NEET 2026 (Re-neet) · Units & Dimensions

Units & Dimensions question from NEET 2026 (Re-neet)

Q3NEET 2026 · RE-NEETEasy

Units & Dimensions

Consider that σs,kB,b\sigma_s, k_B, b represents Stefan-Boltzmann constant, Boltzmann constant and Wien's displacement law constant, respectively. The dimension of σskB−1b\sigma_s k_B^{-1} b is

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Answer: (b)

  1. [σs]=[MT−3K−4][\sigma_s] = [\mathrm{MT^{-3}K^{-4}}], [kB]=[ML2T−2K−1][k_B] = [\mathrm{ML^2T^{-2}K^{-1}}], [b]=[LK][b] = [\mathrm{LK}]
  2. [kB−1]=[M−1L−2T2K][k_B^{-1}] = [\mathrm{M^{-1}L^{-2}T^{2}K}]
  3. [σskB−1b]=[M0L−2+1T−3+2K−4+1+1]=[L−1T−1K−2][\sigma_s k_B^{-1} b] = [\mathrm{M^{0}L^{-2+1}T^{-3+2}K^{-4+1+1}}] = [\mathrm{L^{-1}T^{-1}K^{-2}}]
  4. So the answer is (b).
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