Question:
A photon and an electron have an equal energy ' \(\text{E}\) '. The ratio of wavelength ' \(\lambda_\text{p}\) ' of photon to that of electron ' \(\lambda_\text{e}\) ' is proportional to
A photon and an electron have an equal energy ' \(\text{E}\) '. The ratio of wavelength ' \(\lambda_\text{p}\) ' of photon to that of electron ' \(\lambda_\text{e}\) ' is proportional to
Show Hint
Photon: $\lambda \propto \frac{1}{E}$
Electron: $\lambda \propto \frac{1}{\sqrt{E}}$
Updated On: May 8, 2026
- \(\sqrt{\text{E}}\)
- \(\frac{1}{\sqrt{\text{E}}}\)
- \(\frac{1}{\text{E}}\)
- \(\text{E}\)
Show Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Concept: For photon: \[ E = \frac{hc}{\lambda_p} \Rightarrow \lambda_p \propto \frac{1}{E} \] For electron: \[ E = \frac{p^2}{2m} \Rightarrow p \propto \sqrt{E} \] \[ \lambda_e = \frac{h}{p} \propto \frac{1}{\sqrt{E}} \]
Step 1: Take ratio. \[ \frac{\lambda_p}{\lambda_e} \propto \frac{1/E}{1/\sqrt{E}} = \sqrt{E} \] Final Answer: Option (A)
Was this answer helpful?
0
0
Top MHT CET Physics Questions
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- A particle moves along a circle of radius ?$r$? with constant tangential acceleration. If the velocity of the particle is ?$?$? at the end of second revolution, after the revolution has started then the tangential acceleration is
- If $M_z$ = magnetization of a paramagnetic sample, $B$ = external magnetic field, $T$ = absolute temperature, $C$ = curie constant then according to Curie�s law in magnetism, the correct relation is
- In a fundamental mode, the time required for the sound wave to reach upto the closed end of a pipe filled with air is $'t'$ second. The frequency of vibration of air column is
- In a parallel plate capacitor, the capacity increases if
View More Questions
Top MHT CET Dual nature of radiation and matter Questions
- Two spherical black bodies radiate the same amount of heat per second. If their temperatures are \( T_1 \) and \( T_2 \), and their radii are \( R_1 \) and \( R_2 \), respectively, find the relation between their temperatures and radii.
- An electron moving with initial velocity \( \mathbf{V} = V_0 \hat{i} \) is moving in a magnetic field \( \mathbf{B} = B \hat{k} \). Then its de-Broglie wavelength:
- Light of frequency 2 times the threshold frequency is incident on a photo-sensitive material. If the frequency is made \( \frac{1}{3} \)rd and intensity is doubled then the photocurrent will:
- The radiations of energies 1eV and 2.5eV are incident on a metal surface having work function 0.5 eV. The ratio of the maximum velocities of the emitted photo-electrons is:
- A mass \(m\) suspended from a spring stretches it by \(5\,\text{cm}\) when on the surface of the earth. The mass is then taken to a height of \(1600\,\text{km}\) above earth’s surface and again suspended from the same spring. At this altitude the extension of the spring is (Radius of earth \(= 6400\,\text{km}\))
View More Questions
Top MHT CET Questions
- During r- DNA technology, which one of the following enzymes is used for cleaving DNA molecule ?
- In non uniform circular motion, the ratio of tangential to radial acceleration is (r = radius of circle, $v =$ speed of the particle, $\alpha =$ angular acceleration)
- The temperature of $32^{\circ}C$ is equivalent to
- The line $5x + y - 1 = 0$ coincides with one of the lines given by $5x^2 + xy - kx - 2y + 2 = 0 $ then the value of k is
- The heat of formation of water is $ 260\, kJ $ . How much $ H_2O $ is decomposed by $ 130\, kJ $ of heat ?
View More Questions