Two electron beams having velocities in the ratio 1:2 are subjected to the same transverse magnetic field. The ratio of the deflections is
1:2
2:1
4:1
1:4

Question

Two electron beams having velocities in the ratio 1-2 are subjected to the same transverse magnetic field- The ratio of the deflections is1-22-14-11-4

Toppr Admin · Accepted Answer

In magnetic fieldF-qVBand F - mV2rso- mv2r-qVB-x2192-r-mvqBso- r -x3B1- V

Two electron beams having velocities in the ratio 1:2 are subjected to the same transverse magnetic field. The ratio of the deflections is1:22:14:11:4

In magnetic fieldF=qVBand F = mV2rso, mv2r=qVB→r=mvqBso, r α V

Two electron beams having velocities in the ratio 1:2 are subjected to the same transverse magnetic field. The ratio of the deflections is
1:2
2:1
4:1
1:4

In magnetic field
$F = q V B$
and F = $m \frac{V^{2}}{r}$
so, $\frac{{m v}^{2}}{r} = q V B$
$\to r = \frac{m v}{q B}$

so, r $α$ V