0
You visited us 0 times! Enjoying our articles? Unlock Full Access!
Question

A charged particle with velocity v=x^i+y^j moves in a magnetic field B=y^i+x^j. The force acting on the particle has magnitude F. Which one of the following statements is/are correct?
  1. If y>x, the force will act along y-axis
  2. No force will act on charged particle if x=y
  3. If x>y,F(x2y2)
  4. If x>y, the force will act along z-axis

A
If x>y,F(x2y2)
B
If y>x, the force will act along y-axis
C
No force will act on charged particle if x=y
D
If x>y, the force will act along z-axis
Solution
Verified by Toppr

v=x^i+y^j

B=y^i+x^j

f=q(v×B)=q((x^i+y^j)×(y^i+x^j))=q(x2y2)^k

If x=y, f=q(x2y2)=q(00)=0

If x>y, f=q(x2y2)^k>0

If y>x, f=q(x2y2)^k<0 and it points in the vez axis.

Was this answer helpful?
0
Similar Questions
Q1
A charged particle with velocity v=x^i+y^j moves in a magnetic field B=y^i+x^j. The force acting on the particle has magnitude F. Which one of the following statements is/are correct?
View Solution
Q2
A charged particle with velocity v=x^i+y^j moves in a magnetic field B=y^i+x^j. The magnitude of magnetic force acting on the particles F. Among the following the correct statement(s) is/are :
View Solution
Q3
A positive charge particle with velocity v=x^i+y^j moves in a magnetic field B=y^i+x^j. The magnitude of magnetic force acting on the particle is F. Which one of the following statements are correct ?
View Solution
Q4
A charged particle (q, m) is projected along y-axis in a uniform magnetic field directed along z-axis. A viscous force f=bv also acts on particle(where v is the velocity of the particle).
View Solution
Q5
If a particle of charge q is moving with velocity v along the z - axis and the magnetic field B is acting along x - axis, use the expression F=q(v×B) to find the direction of the force F acting on it.
View Solution