MHT CET · Physics · Dual Nature of Matter
In experiment of photoelectric effect, the stopping potential for a given metal is
\({ }^{\prime} \mathrm{V}_{0}{ }^{\prime}\) volt, when radiation of wavelength \({ }^{\prime} \lambda_{0}{ }^{\prime}\) is used. If radiation of wavelength \({ }^{\prime} 2 \lambda_{0}{ }^{\prime}\)
is used for the same metal, then the stopping potential (in volt) will be \([\mathrm{e}=\) charge
on electron, \(\mathrm{c}=\) speed of light, \(\mathrm{h}=\) Planck's constant.]
- A \(\mathrm{V}_{0}+\frac{\mathrm{hc}}{2 \mathrm{e} \lambda_{0}}\)
- B \(\mathrm{~V}_{0}-\frac{\mathrm{hc}}{2 \mathrm{e} \lambda_{0}}\)
- C \(\frac{V_{0}}{2}\)
- D \(2 \mathrm{~V}_{0}\)
Answer & Solution
Correct Answer
(B) \(\mathrm{~V}_{0}-\frac{\mathrm{hc}}{2 \mathrm{e} \lambda_{0}}\)
Step-by-step Solution
Detailed explanation
\(h v-\omega_{0}=e V_{0}\)
\(\frac{h c}{\lambda_{0}}-\omega_{0}=e V_{0}\)
\(\frac{h c}{2 \lambda_{0}}-\omega_{0}=e V_{s}\)
\(=\frac{h c}{\lambda_{0}}\left[1-\frac{1}{2}\right]=e\left(V_{0}-V_{s}\right)=e V_{0}-e V_{s}\)
\(V_{s}=V_{0}-\frac{h c}{2 \lambda_{0} e}\)
\(\frac{h c}{\lambda_{0}}-\omega_{0}=e V_{0}\)
\(\frac{h c}{2 \lambda_{0}}-\omega_{0}=e V_{s}\)
\(=\frac{h c}{\lambda_{0}}\left[1-\frac{1}{2}\right]=e\left(V_{0}-V_{s}\right)=e V_{0}-e V_{s}\)
\(V_{s}=V_{0}-\frac{h c}{2 \lambda_{0} e}\)
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
- In an a.c. circuit \(I=100 \sin 200 \pi t\). The time required for the current to achieve its peak value will beMHT CET 2024 Easy
- A photosensitive surface has work function \(\phi\). If photon of energy \(3 \phi\) falls on this surface, the electron comes out with maximum velocity of \(4 \times 10^6 \mathrm{~m} / \mathrm{s}\). When photon energy is increased to \(7 \phi\) then maximum velocity of photoelectron will beMHT CET 2025 Medium
- The angular displacement of body performing circular motion is given by \(\theta=5 \sin \frac{\pi t}{6}\). The angular velocity of the body at \(t=3\) second will be \(\left[\sin \frac{\pi}{2}=1, \cos \frac{\pi}{2}=0\right]\)MHT CET 2021 Easy
- A mine is located at depth \(\frac{\mathrm{R}}{3}\) below earth's surface. The acceleration due to gravity at that depth in mine is ( \(\mathrm{R}=\) radius of earth, \(\mathrm{g}\) = acceleration due to gravity)MHT CET 2023 Medium
- In a sphere of influence, the liquid molecule at its centre isMHT CET 2020 Easy
- A particle performs S.H.M. of amplitude 'A' and wavelength ' \(\lambda\) ', Then the velocity of the wave \((\mathrm{V})\) and the maximum particle velocity \((\nu)\) are related asMHT CET 2025 Medium
More PYQs from MHT CET
- \(\mathrm{f}(x)= \begin{cases}{\left[x^2\right]-\left[-x^2\right],} & x \neq 3 \\ \mathrm{k} & , x=3\end{cases}\)
is continuous at \(x=3\), then \(\mathrm{k}=\) where \([\cdot]\) is greatest integer functionMHT CET 2025 Medium - When radiation of wavelength ' \(\lambda\) ' is incident on a metallic surface, the stopping potential is \(4.8 \mathrm{~V}\). If the surface is illuminated with radiation of double the wavelength then the stopping potential becomes \(1.6 \mathrm{~V}\).' The threshold wavelength for the surface isMHT CET 2023 Medium
- \(\int[\sin |\log x|+\cos |\log x|] d x=\)MHT CET 2021 Medium
- Let \(\overline{\mathrm{a}}=\hat{\mathrm{i}}+\hat{\mathrm{j}}+\hat{\mathrm{k}}, \overline{\mathrm{b}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}+\hat{\mathrm{k}}\) and \(\overline{\mathrm{c}}=\hat{\mathrm{i}}-\hat{\mathrm{j}}-\hat{\mathrm{k}}\) be three vectors. A vector \(\overline{\mathrm{v}}\) in the plane of \(\overline{\mathrm{a}}\) and \(\overline{\mathrm{b}}\), whose projection on \(\overline{\mathrm{c}}\) is \(\frac{1}{\sqrt{3}}\), is given byMHT CET 2024 Easy
- Identify the instrument used to find crystal structure from following:MHT CET 2024 Easy
- The objective function , subject to has maximum value _________ of the feasible region.MHT CET 2016 Hard