CBSE 2023 · Region 1 · Set 3 · Q30 · 3 marks
A particle is associated with a de Broglie wave of wavelength $\displaystyle 1.2 \mathrm{~nm}$. The kinetic energy of the particle is made four times. Calculate the new value of the wavelength of the wave.
Marking-scheme solution
\[\begin{aligned}
\lambda & =\frac{\mathrm{h}}{\sqrt{2 m K}} \\
\lambda^{\prime} & =\frac{\mathrm{h}}{\sqrt{2 m \times}} \\
& =\frac{1}{2} \\
& =\frac{\lambda}{2} \\
& =\frac{1.2 n m}{2} \\
& =0.6 \mathrm{~nm}
\end{aligned}
\]
Dual Nature of Radiation and MatterWave Nature of MatterApplyshort_answereasy
More from Dual Nature of Radiation and Matter
- Consider a neutron (mass m ) of kinetic energy E and a photon of the same energy. Let λ n and λ p be the de…2024 · asked 3×
- Assertion: Photoelectric current increases with an increase in intensity of incident radiation, for a given…2024 · asked 3×
- Figure shows the variation of photoelectric current measured in a photo cell circuit as a function of the…2023 · asked 3×
- Atomic spectral emission lines of hydrogen atom are incident on a zinc surface. The lines which can emit…2025 · asked 3×
- A beam of red light and a beam of blue light have equal intensities. Which of the following statements is…2025 · asked 3×
- Assertion: If accelerated electrons are passed through a narrow slit, a diffraction pattern is observed.…2026 · asked 3×
- Assertion: In photoelectric effect, the kinetic energy of the emitted photoelectrons increases with increase…2024 · asked 3×
- The figure shows v m^2 versus 1/(λ) graph for photoelectrons emitted from a surface where v m is the maximum…2023 · asked 3×
CBSE Class 12 Physics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.