Consider the motion of a positive point charge in a region where area simultaneous uniform electric and magnetic fields ` vec(E) = E_(0) hat(j)` and ` vec(B) = B_(0) hat(j)`. At time ` t = 0` , this charge has velocity ` vec(v)` in the ` x-y `plane , making an angle ` theta` with the ` x-axis `. Which of the following option(s) is (are) correct for time ` t gt 0`?

Consider the motion of a positive point charge in a region where there are simultaneous uniform electric and magnetic fields vecE=E_(0)hatj and vecB=B_(0)hatj . At time t-0 , this charge has velocity v in the x-y plane, making an angle theta with the x- axis. Which of the following option (s) is (are) correct for time tgt0 ?

Consider the motion of a positive point charge in a region where there are simultaneous uniform eletric and magnetic field E=E_0hatj and B=B_0hatj . At time t=0 , this charge has velocity v in the x-y-plane making an angle theta with the x-axis. Which of the following option(s) is (are) correct for time tgt0? a. If theta=0^0 the charge moves in a circular path in the xy-plane. b.If theta=0^0 the charge undergoes helical motion with constant pitch along the y-axis. c. If theta=1 0^0 the charge undergoes helicalmotion with its pitch increasing with time along the y -axis. d. If theta=90^@ the charge undergoes linear but accelerated motion along the y -axis.

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

In a region of space , suppose there exists a uniform electric field vec(E ) = 10 hat(i) ( V /m) . If a positive charge moves with a velocity vec(v ) = -2 hat(j) , its potential energy

In a region of space , suppose there exists a uniform electric field vec(E ) = 10 hat(i) ( V /m) . If a positive charge moves with a velocity vec(v ) = -2 hat(j) , its potential energy

A particle having mass m and charge q is released from the origin in a region in which electric field and megnetic field are given by vec(B) = -B_(0)hat(j) and vec(E) = vec(E)_(0)hat(k) . Find the speed of the particle as a function of its z -coordinate.

A particle of charge q and mass m released from origin with velocity vec(v) = v_(0) hat(i) into a region of uniform electric and magnetic fields parallel to y-axis. i.e., vec(E) = E_(0) hat(j) and vec(B) = B_(0) hat(j) . Find out the position of the particle as a functions of time Strategy : Here vec(E) || vec(B) The electric field accelerates the particle in y-direction i.e., component of velocity goes on increasing with acceleration a_(y) = (F_(y))/(m) = (F_(e))/(m) = (qE_(0))/(m) The magnetic field rotates the particle in a circle in x-z plane (perpendicular to magnetic field) The resultant path of the particle is a helix with increasing pitch. Velocity of the particle at time t would be vec(v) (t) = v_(x) hat(i) + v_(y) hat(j) + v_(z) hat(k)

A particle of charge q and mass m released from origin with velocity vec(v) = v_(0) hat(i) into a region of uniform electric and magnetic fields parallel to y-axis. i.e., vec(E) = E_(0) hat(j) and vec(B) = B_(0) hat(j) . Find out the position of the particle as a functions of time Strategy : Here vec(E) || vec(B) The electric field accelerates the particle in y-direction i.e., component of velocity goes on increasing with acceleration a_(y) = (F_(y))/(m) = (F_(e))/(m) = (qE_(0))/(m) The magnetic field rotates the particle in a circle in x-z plane (perpendicular to magnetic field) The resultant path of the particle is a helix with increasing pitch. Velocity of the particle at time t would be vec(v) (t) = v_(x) hat(i) + v_(y) hat(j) + v_(z) hat(k)