Home
Class 12
PHYSICS
A positively charged particle of mass m ...

A positively charged particle of mass m and charge q is projected on a rough horizontal x-y plane surface with z-axis in the vertically upward direction. Both electric and magnetic fields are acting in the region and given by `vec E = - E_0 hat k and vec B= -B_0 hat k` , respectively. The particle enters into the field at `(a_0, 0, 0)` with velocity `vec v = v_0 hat j`. The particle starts moving in some curved path on the plane. If the coefficient of friction between the particle and the plane is `mu`. Then calculate the
(a) time when the particle will come to rest
(b) distance travelled by the particle when it comes to rest.

Text Solution

Verified by Experts

(a) `(mV_(0))/(mu(mg + qE))`
(b) `t = (mV_(0))/(mu(mg + qE))`
(c) `l = (mV_(0)^(2))/(2mu (mg + qE))`
Promotional Banner

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section J (Aakash Challengers Questions)|5 Videos

  • MOVING CHARGES AND MAGNETISM

    AAKASH INSTITUTE ENGLISH|Exercise Assignment Section H (Multiple True-False Type Questions)|5 Videos

  • MOVING CHARGE AND MAGNESIUM

    AAKASH INSTITUTE ENGLISH|Exercise SECTION D|16 Videos

  • NUCLEI

    AAKASH INSTITUTE ENGLISH|Exercise ASSIGNMENT (SECTION-D)|10 Videos

Similar Questions

Explore conceptually related problems

Electric field and magnetic field in a region of space are given by (Ē= E_0 hat j) . and (barB = B_0 hat j) . A charge particle is released at origin with velocity (bar v = v_0 hat k) then path of particle is

A charge particle of mass m and charge q is projected with velocity v along y-axis at t=0. Find the velocity vector and position vector of the particle vec v (t) and vec r (t) in relation with time.

A particle of mass m and positive charge q is projected with a speed of v_0 in y–direction in the presence of electric and magnetic field are in x–direction. Find the instant of time at which the speed of particle becomes double the initial speed.

Electric field and magnetic field n a region of space is given by E=E_0hatj and B=B_0hatj . A particle of specific charge alpha is released from origin with velocity v=v_0hati . Then path of particle

A charged particle of mass 5 mg and charge q= +2 mu C has velocity vec v = 2 hat i - 3 hat j + 4 hat k. Find out the magnetic force on the charged particle and its acceleration at this instant due to magnetic field vec B = 3 hat j - 2 hat k. vec v and vec B are in ms^-1 and Wbm^-2 , respectively.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A particle of charge q and mass m starts moving from the origin under the action of an electric field vec E = E_0 hat i and vec B = B_0 hat i with a velocity vec v = v_0 hat j . The speed of the particle will become 2v_0 after a time.

A charged particle moves with velocity vec v = a hat i + d hat j in a magnetic field vec B = A hat i + D hat j. The force acting on the particle has magnitude F. Then,

A charged particle moves with velocity vec v = a hat i + d hat j in a magnetic field vec B = A hat i + D hat j. The force acting on the particle has magnitude F. Then,