Home
Class 12
PHYSICS
A charged particle is projected in a mag...

A charged particle is projected in a magnetic field of `(5 hat I + 9 hat j ) m T` and its acceleration is found to be `(9 hat I - x hat j ) xx 10^(-6) m//s^(2)`. What should be the value of x?

Text Solution

Verified by Experts

We know that magnetic force is always perpendicular to the magnetic field. So the acceleration vector must also be perpendicular to the magnetic field. The dot product of two mutually perpendicular vectors should be zero hence we get the following:
`vec a * vec B = 0 rArr (5 hat i + 9 hat j) * (9 hat i - x hat j) xx 10^(-6) xx 10^(-3) = 0 `
` rArr 45 - 9 x = 0 rArr x = 5`
Promotional Banner

Topper's Solved these Questions

  • MOVING CHARGES AND MAGNETISM

    MODERN PUBLICATION|Exercise Revision Exercises (Very Short Answer Questions )|59 Videos

  • MOVING CHARGES AND MAGNETISM

    MODERN PUBLICATION|Exercise Revision Exercises (Additional Questions )|16 Videos

  • MOVING CHARGES AND MAGNETISM

    MODERN PUBLICATION|Exercise NCERT (Exemplar Problems ) (Short Answer Type Questions )|6 Videos

  • MAGNETISM AND MATTER

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|16 Videos

  • NUCLEI

    MODERN PUBLICATION|Exercise CHAPTER PRACTICE TEST FOR BOARD EXAMINATION|15 Videos

Similar Questions

Explore conceptually related problems

Charged particle is projected in a magnetic field of (7hat i-3hat j) times 10^(-3) T . The acceleration of the particle is found to be (xhat i+7hat j) times 10^(-3)m/sec^(2) .The value of x is

Charged particle is projected in a magnetic field of (7hat i-3hat j)times10^(-3) T .The acceleration of the particle is found to be (xhat i+7hat j)times10^(-3)m/sec^(2) .The value of x is

A point charge +q_0 is projected in a magnetic field vec B= (hat i+2 hat j-3hat k) . If acceleration of the particle is vec a= ( 2hat i+b hat j-hat k) then value of b will be

Find the value of hat i xx hat j

A charged particle has acceleration vec a = 2 hat i + x hat j in a megnetic field vec B = - 3 hat i + 2 hat j - 4 hat k. Find the value of x.

A charged particle moving in a magnetic field vec(B) = hat(i) - hat(j) tesla, has an acceleration of 2 hat(i) + alpha hat(j) at some instant. Find the value of alpha

A particle is moving in x-y plane. At an instant, it has velocity (4 hat (i) + 4 hat(j)) m//s and acceleration (3 hat(i) + 5 hat(j)) m//s^(2) At that instant, the radius of curvature of its path will be :

A particle has initial velocity (3 hat i+ 4 hat j) and has acceleration (0.1 hat i+ 0.3 hat j) . Its speed after 10 s is.

An alpha particle is moving with a velocity of (7 xx 10^(5) hat I m//s) in a magnetic field of (5 hat I + 9 hat j) T. Find the magnetic force acting on the particle.

An alpha particle is moving with a velocity of (7 xx 10^(5) hat i m//s) in a magnetic field of (5 hat i + 9 hat j ) . T . Find the magnetic force acting on the particle.