A charged particle with velocity `hatv=xhati+yhatj` moves in a magnetic field `vecB=yhati+xhatj`. The force acting on the particle has magnitude F. Which one of the following statements is are correct?

Options

A. No force will act on charged particle if x=y
B. If `xgty`,f `mu(x^2-y^2)`
C. If `xgty`, the force will act along z-axis
D. If `ygtx`, the force will act along y-axis.

Answer

(a,b,c)

Explanation

If `x=y, the vecv||vecB, i.e., vecF_(mag)=0`
Hence (a) is correct.
`vecF_(mag)=q(vecvxxvecB)=q[(xhati+yhatj)xx(yhati+xhatj)]`
`vecF_(mag)=q(x^2-y^2)hatk`
If xgty, then the force is along z-axis.