Question

If a particle of charge 10¹² coulomb moving along the `hat"x" -` direction with a velocity 10² m/s experiences a force of 1 o-s newton in `hat"y" -` direction due to magnetic field, then the minimum magnetic field is ____________.

Options

• `6.25 xx 10^3  "tesla in"  hat"z" - "direction"`

• `10^-15  "tesla in"  hat"z" - "direction"`

• `6.25 xx 10^-3  "tesla in"  hat"z" - "direction"`

• `100  "tesla in"  hat"z" - "direction"`

Answer 1

If a particle of charge 10¹² coulomb moving along the `hat"x" -` direction with a velocity 10² m/s experiences a force of 1 o-s newton in `hat"y" -` direction due to magnetic field, then the minimum magnetic field is `100  "tesla in"  hat"z" - "direction"`.

Explanation:

`"F" = "qvB sin"  theta`

`"B" = "F"/("qv sin"  theta)`

`"B"_"min" = "F"/"qv"      ....("when"  theta = 90°)`

`therefore "B"_"min" = 10^-8/(10^-12 xx 10^2)`

` = 100  "tesla in"  hat "z" - "direction"`