Question:
An electron is moving with initial velocity \(\vec{v}=a\hat{k}\) in a magnetic field \(\vec{B}=b\hat{j}\). Its de-Broglie wavelength will
An electron is moving with initial velocity \(\vec{v}=a\hat{k}\) in a magnetic field \(\vec{B}=b\hat{j}\). Its de-Broglie wavelength will
Show Hint
The magnetic force does no work, so the speed and hence the wavelength remain constant.
Updated On: Nov 12, 2026
- decrease and increase periodically.
- increase with time.
- decrease with time.
- remain constant.
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept
de Broglie wavelength: \(\lambda=\dfrac{h}{mv}\).
Step 2: Magnetic force
\(\vec{F}=q(\vec{v}\times\vec{B})\) is always perpendicular to velocity, so it does no work.
Step 3: Result
The speed stays constant, so \(\lambda\) stays constant.
Final Answer:
The de Broglie wavelength remains constant. \[ \boxed{\text{(D) }\text{remain constant}} \]
de Broglie wavelength: \(\lambda=\dfrac{h}{mv}\).
Step 2: Magnetic force
\(\vec{F}=q(\vec{v}\times\vec{B})\) is always perpendicular to velocity, so it does no work.
Step 3: Result
The speed stays constant, so \(\lambda\) stays constant.
Final Answer:
The de Broglie wavelength remains constant. \[ \boxed{\text{(D) }\text{remain constant}} \]
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 de broglie hypothesis Questions
- A photon and an electron have the same energy \( E \). If \( \lambda_p \) is the wavelength of the photon and \( \lambda_e \) is the de Broglie wavelength of the electron, then the ratio \( \frac{\lambda_p}{\lambda_e} \) is:
- A photon and an electron have the same energy \( E \). If \( \lambda_p \) is the wavelength of the photon and \( \lambda_e \) is the de Broglie wavelength of the electron, then the ratio \( \frac{\lambda_p}{\lambda_e} \) is:
- Calculate the de-Broglie wavelength of an electron accelerated through a potential difference of \(100\text{ V}\).
- Find the ratio of the de Broglie wavelengths of a proton and an alpha particle accelerated through the same potential difference.
- An electron accelerated by a potential difference '$V$' has de-Broglie wavelength '$\lambda$'. If the electron is accelerated by a potential difference '$9 \text{ V}$', its de-Broglie wavelength will be}
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