WBJEE · Physics · Atomic Physics
How the linear velocity \(v\) of an electron in the Bohr orbit is related to its quantum number \(m\)
- A \(v \propto \frac{1}{n}\)
- B \(v \propto \frac{1}{n^{2}}\)
- C \(v \propto \frac{1}{\sqrt{n}}\)
- D \(v \times n\)
Answer & Solution
Correct Answer
(A) \(v \propto \frac{1}{n}\)
Step-by-step Solution
Detailed explanation
\(\because\) Linear velocity of an electron in a orbit of H like atom, \(v=218 \times 10^{6} \times \frac{Z}{n} \mathrm{m} / \mathrm{s}=\frac{c_{0}}{137} \cdot \frac{Z}{n}\) where, \(Z=\) number of protons in nucleus, \(n=\) principal quantum number and \(c_{o}=\) speed of light…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A biconvex lens of focal length \(f\) and radii of curvature of both the surfaces \(R\) is made of a material of refractive index \(n_{1}\). This lens is placed in a liquid of refractive index \(n_{2}\). Now this lens will behave likeWBJEE 2013 Easy
- A particle of charge ' \(q\) ' and mass ' \(m\) ' moves in a circular orbit of radius ' \(r\) ' with angular speed ' \(\omega\) '. The ratio of the magnitude of its magnetic moment to that of its angular momentum depends onWBJEE 2025 Medium
- Three blocks of masses 4 kg. 2 kg. 1 kg respectively are in contact on a frictionless table as shown in the figure. If a force of \(14 \mathrm{N}\) is applied on the 4 kg block, the contact force between the \(4 \mathrm{kg}\) and the \(2 \mathrm{kg}\) block will be
WBJEE 2012 Medium - The period of oscillation of a simple pendulum of length \(l\) suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination \(\alpha\), is given byWBJEE 2011 Medium
- Find the equivalent capacitance between \(A\) and \(B\) of the following arrangement :
WBJEE 2022 Easy - The intensity of a sound appears to an observer to be periodic. Which of the following can be the cause of it?WBJEE 2018 Easy
More PYQs from WBJEE
- Two coins are available, one fair and the other two-headed. Choose a coin and toss it once; assume that the unbiased coin is chosen with probability \(\frac{3}{4}\), Given that the outcome is head, the probability that the two-headed coin was chosen, isWBJEE 2012 Easy
- If \(y^{\prime \prime}-3 y^{\prime}+2 y=0\) where \(y(0)=1, y^{\prime}(0)=0\), then the value of \(y\) at \(x=\log , 2\) isWBJEE 2010 Hard
- What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?WBJEE 2019 Easy
- A point object is held above a thin equiconvex lens at its focus. The focal length is \(0.1 \mathrm{m}\) and the lens rests on a horizontal thin plane mirror. The final image will be formed atWBJEE 2017 Medium
- If P is a non-singular matrix of order \(5 \times 5\) and the sum of the elements of each row is 1 , then the sum of the elements of each row in \(\mathrm{P}^{-1}\) isWBJEE 2025 Medium
- For any two real numbers \(\theta\) and \(\phi\) we define \(\theta\). R \(\phi\) if and only if \(\sec ^{2} \theta-\tan ^{2} \phi=1\). The relation \(R\) isWBJEE 2014 Easy