MHT CET · Physics · Dual Nature of Matter
If the potential difference used to accelerate electrons is doubled, by what factor does the de-Broglie wavelength associated with the electrons change?
- A Wavelength is increased to \(\sqrt{2}\) times.
- B Wavelength is decreased to \(\sqrt{2}\) times.
- C Wavelength is decreased to \(\frac{1}{\sqrt{2}}\) times.
- D Wavelength is increased to \(\frac{1}{\sqrt{2}}\) times.
Answer & Solution
Correct Answer
(C) Wavelength is decreased to \(\frac{1}{\sqrt{2}}\) times.
Step-by-step Solution
Detailed explanation
De Broglie wavelength,
\(\lambda=\frac{h}{\sqrt{2 m q V}} \propto \frac{1}{\sqrt{V}}\)
If the potential difference \(V\) is doubled, the de Broglie wavelength is decreased to \(\frac{1}{\sqrt{2}}\) times.
\(\lambda=\frac{h}{\sqrt{2 m q V}} \propto \frac{1}{\sqrt{V}}\)
If the potential difference \(V\) is doubled, the de Broglie wavelength is decreased to \(\frac{1}{\sqrt{2}}\) times.
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
- When a resistance of \(100 \Omega\) is connected in series with a galvanometer of resistance \(R\), its range is
V. To double its range, a resistance of \(1000 \Omega\) is connected in series. Find \(R\).MHT CET 2010 Medium - In the given circuit, if \(\frac{\mathrm{dI}}{\mathrm{dt}}=-1 \mathrm{~A} / \mathrm{s}\) then the value of \(\left(V_A-V_B\right)\) at this instance will be
MHT CET 2023 Medium - The minimum distance between an object and its real image formed by a convex lens of focal length \(f\) isMHT CET 2022 Hard
- Three capacitors each of capacitance 'C' and breakdown voltage 'V' are connected in series. The capacitance and breakdown voltage of the series combination will be respectivelyMHT CET 2025 Easy
- The plates of a parallel plate capacitor of capacity ' \(\mathrm{C}_1\) ' are moved closer together until they are half their original separation. The new capacitance ' \(\mathrm{C}_2\) ' isMHT CET 2021 Easy
- A conducting sphere of radius \(0.1 \mathrm{~m}\) has uniform charge dénsity \(1.8 \mu \mathrm{C} / \mathrm{m}^2\) on its surface. The electric field in free space at radial distance \(0.2 \mathrm{~m}\) from \(\alpha\) point on the surface is ( \(\varepsilon_0=\) permittivity of free space)MHT CET 2023 Medium
More PYQs from MHT CET
- Two coils are kept near each other. When no current passess through first coil and current in the \(2^{\text {nd }}\) coil increases at the rate \(10 \mathrm{~A} / \mathrm{s}\), the e.m.f. in the \(1^{\mathbb{x}}\) coil is 20 mV . When no current passes through \(2^{\text {nd }}\) coil and 3.6 A current passes through \(1^8\) coil the flux linkage in coil 2 isMHT CET 2024 Medium
- The approximate value of \(\log _{10} 998\) is (given that \(\log _{10} \mathrm{e}=0.4343\) )MHT CET 2023 Medium
- If the ratio of the intensities of two waves producing interference is \(49: 16\), then the ratio of the resultant maximum intensity to minimum intensity will beMHT CET 2022 Medium
- What is the rate of appearance of \(\mathrm{Z}\) in following reaction?
\(3 \mathrm{x} \rightarrow 2 \mathrm{y}+\mathrm{z}\), if rate of disappearance of \(\mathrm{x}\) is \(0.072 \mathrm{~mol} \mathrm{~s}^{-1}\)MHT CET 2021 Easy - Let \(\overline{\mathrm{A}}=2 \hat{i}+\hat{k}, \overline{\mathrm{~B}}=\hat{i}+\hat{j}+\hat{k}\) and \(\overline{\mathrm{C}}=4 \hat{\mathrm{i}}-3 \hat{\mathrm{j}}+7 \hat{\mathrm{k}}\). If a vector \(\bar{R}\) satisfies \(\bar{R} \times \bar{B}=\bar{C} \times \bar{B}\) and \(\overline{\mathrm{R}} \cdot \overline{\mathrm{A}}=0\), then \(\overline{\mathrm{R}}\) is given byMHT CET 2024 Medium
- If \(\bar{a}, \bar{b}, \bar{c}\) are nonzero vectors along the coterminus edges of a parallelopiped with volume 7 cubic units, then the volume of a parallelopiped with \(\overline{\mathrm{a}}+\overline{\mathrm{b}}, \overline{\mathrm{b}}+\overline{\mathrm{c}}, \overline{\mathrm{c}}+\overline{\mathrm{a}}\) as the coterminus edges isMHT CET 2020 Easy