List of top Physics Questions on Dimensional analysis and its applications

Consider that \(\sigma_s\), \(k_B\), and \(b\) represent Stefan-Boltzmann constant, Boltzmann constant, and Wien's displacement law constant, respectively. The dimension of \(\sigma_s k_B^{-1} b\) is:

मान लीजिए कि \(\sigma_s\), \(k_B\), \(b\) क्रमशः स्टीफन-बोल्ट्ज़मैन नियतांक, बोल्ट्ज़मैन नियतांक और वीन के विस्थापन नियम के नियतांक को निरूपित करते हैं। \(\sigma_s k_B^3 b\) की विमा है :

A physical quantity P is related to four observations a, b, c, and d as follows: P = a³ b² (c / √d) The percentage errors of measurement in a, b, c, and d are 1%, 3%, 2%, and 4% respectively. The percentage error in the quantity P is:

The unit of length convenient on the atomic scale is known as an angstrom and is denoted by \(\AA\) : 1 \(\AA\) = \(10^{-10}\;\text m\). The size of a hydrogen atom is about 0.5\(\AA .\) What is the total atomic volume in m3 of a mole of hydrogen atoms ?

One mole of an ideal gas at standard temperature and pressure occupies 22.4 L (molar volume). What is the ratio of molar volume to the atomic volume of a mole of hydrogen ? (Take the size of hydrogen molecule to be about 1 \(\text\AA\) ). Why is this ratio so large ?