Question:medium
The de Broglie wavelength for an electron accelerated through the potential difference of \(V_1\) volt is \( \lambda_1 \). When the potential difference is changed to \(V_2\) volt, the associated de Broglie wavelength is increased by \(50%\). If \( \left(\frac{V_1}{V_2}\right)=\frac{9}{\alpha} \), then the value of \( \alpha \) is _____.
The de Broglie wavelength for an electron accelerated through the potential difference of \(V_1\) volt is \( \lambda_1 \). When the potential difference is changed to \(V_2\) volt, the associated de Broglie wavelength is increased by \(50%\). If \( \left(\frac{V_1}{V_2}\right)=\frac{9}{\alpha} \), then the value of \( \alpha \) is _____.
Updated On: Apr 12, 2026
Show Solution
Correct Answer: 4
Solution and Explanation
Was this answer helpful?
0
Top Questions on Quantum Mechanics
- The Earth revolves around the Sun in an orbit of radius \(1.5 \times 10^{11} \, \text{m}\) with orbital speed \(30 \, \text{km/s}\). Find the quantum number that characterizes its revolution using Bohr’s model in this case (mass of Earth \( = 6.0 \times 10^{24} \, \text{kg}\)).
- CBSE Class XII - 2024
- Physics
- Quantum Mechanics
- Let \( \lambda_e \), \( \lambda_p \), and \( \lambda_d \) be the wavelengths associated with an electron, a proton, and a deuteron, all moving with the same speed. Then the correct relation between them is:
- CBSE Class XII - 2025
- Physics
- Quantum Mechanics
A beam of light of wavelength \(\lambda\) falls on a metal having work function \(\phi\) placed in a magnetic field \(B\). The most energetic electrons, perpendicular to the field, are bent in circular arcs of radius \(R\). If the experiment is performed for different values of \(\lambda\), then the \(B^2 \, \text{vs} \, \frac{1}{\lambda}\) graph will look like (keeping all other quantities constant).
- WBJEE - 2024
- Physics
- Quantum Mechanics
- Monochromatic light of wavelength λ = 4770 ˚A is incident separately on the surfaces of four different metals A, B, C and D. The work functions of A, B, C, and D are 4.2 eV, 3.7 eV,3.2 eV and 2.3 eV, respectively. The metal/ metals from which electrons will be emitted is/are:
- WBJEE - 2024
- Physics
- Quantum Mechanics
- Want to practice more? Try solving extra ecology questions todayView All Questions
