Home
Class 12
PHYSICS
An electron (mass m) with an initial vel...

An electron (mass m) with an initial velocity `vec(V) = v_(0) hat(i)` is in an electric field `vec(E) = E_(0) hat(j)`. If `lamda_(0) = (h)/(mv_(0))`, its de Broglie wavelength at time t is given by

A

`lamda_(0)`

B

`lamda_(0) sqrt(1 + (e^(2) E_(0)^(2) t^(2))/(m_(0)^(2) v_(0)^(2)))`

C

`(lamda_(0))/(sqrt(1 + (e^(2) E_(0)^(2) t^(2))/(m_(0)^(2) v_(0)^(2))))`

D

`(lamda_(0))/((1 + (e^(2) E_(0)^(2) t^(2))/(m_(0)^(2) v_(0)^(2))))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • QUANTUM THEORY

    CHHAYA PUBLICATION|Exercise Exercise (Multiple Choice Questions)|27 Videos

  • QUANTUM THEORY

    CHHAYA PUBLICATION|Exercise Exercise (Very Short Answer Types Questions)|37 Videos

  • QUANTUM THEORY

    CHHAYA PUBLICATION|Exercise NCERT Textbook Questions with Answer Hint|19 Videos

  • OPTICAL INSTRUMENTS

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|8 Videos

  • QUESTION PAPER OF NEET 2017

    CHHAYA PUBLICATION|Exercise QUESTION PAPERS OF (NEET) (2017)|39 Videos

Similar Questions

Explore conceptually related problems

An electron is moving with an initial velocity vec(V) = v_(0) hat(i) and is in a magnetic field vec(B) = B_(0)hat(j) . Then its de Broglie wavelength

An electron of mass m with an initial velocity vec(V) = V_(0)hat(i) (V_(0) gt 0) enters an electric field vec(E) = - E_(0)hat(i) ( E_(0) = constant gt 0 ) at t = 0. If lamda_(0) is its de Broglie wavelength initially, then its de Broglie wavelength at time t is

If the equation of an electric field is vec(E ) = (y hat(i) + xhat(j)) , then the equation of electric potential is represented by

An electron is moving with a velocity (2 hat(i) + 2 hat(j)) m/s in an electric field of intensity vec(E ) = hat(i) + 2hat(j)-8hat(k) Volt/m and a magnetic field of vec(B) = (2hat(j) + 3hat(k)) tesla. Find the magnitude of force on the electron.

The moment of the force, vec(F) = 4hat(i) + 5 hat(j) - 6 hat(k) at (2, 0, -3), about the point (2, -2, -2), is given by

Determine how much work is to be done to move a 10 C positive charge 1 m along the y-axis in a uniform electric field vec(E ) - 5(hat(i) + hat(j)) V cdot m^(-1) .

An electron of mass 'm' is accelerated by a potential difference V and the corresponding de-Broglie wavelength is lamda The de Broglie wavelength of a proton of mass M if it is accelerated by the same potential difference is.

A particle A of mass m and initial velocity v collides with a particle of B of mass m/2 which is at rest. The collision is head-on and elastic. The ratio of the de Broglie wavelengths lamda_(A) "to" lamda_(B) after collision is

A plane electromagnetic wave is moving along X-direction in free space. At a certain location in a moment the electric field vector vec E = E_0 sin (wt - kx) hatj , where E_0 = 3 V/m. Write down the expression for the magnetic field vector vec B in that location.

If (2 hat (i) + 6 hat (j) + 14 hat (k)) xx ( hat (i) - lambda hat (j) + 7 hat (k)) = vec(0) find lambda