Exams › JEE Main › Physics

Given below are two statements : Statement (I) : The dimensions of Planck's constant and angular momentum are same. Statement (II) : In Bohr's model electron revolve around the nucleus only in those orbits for which angular momentum is integral multiple of Planck's constant. In the light of the above statements, choose the most appropriate Ans. from the options given below. (1) Both Statement I and Statement II are incorrect (2) Both Statement I and Statement II are correct (3) Statement I is incorrect but Statement II is correct (4) Statement I is correct but Statement II is incorrect

1. Both Statement I and Statement II are incorrect
2. Both Statement I and Statement II are correct
3. Statement I is incorrect but Statement II is correct
4. Statement I is correct but Statement II is incorrect

Correct answer: Statement I is correct but Statement II is incorrect

Solution

Statement I is correct because both Planck's constant and angular momentum have the same dimensions of action (energy multiplied by time). However, Statement II is incorrect as the quantization of angular momentum in Bohr's model is based on integral multiples of reduced Planck's constant (h/2π), not Planck's constant itself.

Related JEE Main Physics questions

• A body has a measured mass of \(5.00 \pm 0.05\) kg and a measured volume of \(1.00 \pm 0.05\) m\(^3\). What is the maximum possible percentage error in its density?
• A substance has a density of 4 g/cm\(^3\) in the CGS system. If a new unit system is used where the unit of length is 10 cm and the unit of mass is 100 g, what is the numerical value of the density in that system?
• Which of the following physical quantities has dimensions that do not match the other three?
• If the percentage uncertainties in measuring mass \(M\), length \(L\), and time \(T\) are 1%, 1.5%, and 3% respectively, what is the percentage error in a quantity having dimensions \(M L^{-1} T^{-1}\)?
• If \(E\), \(m\), \(J\), and \(G\) denote energy, mass, angular momentum, and the gravitational constant, respectively, then the dimensional formula of \(EJ^2/(m^5G^2)\) is identical to that of which quantity?
• A rod was found to have a measured length of 3.50 cm. Which measuring device was used for this reading?

⚔️ Practice JEE Main Physics free + battle 1v1 →