SATHEE: Magnetics 1 Question 7

Magnetics 1 Question 7

7. An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii $r_{e}, r_{p}, r_{α}$ respectively, in a uniform magnetic field $B$ . The relation between $r_{e}, r_{p}, r_{α}$ is

(2018 Main)

(a) $r_{e} < r_{α} < r_{p}$

(b) $r_{α} > r_{e} = r_{p}$

(d) $r_{e} < r_{p} < r_{α}$

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Answer:

Correct Answer: 7. (c)

Solution:

For circular path in magnetic field,

$r = \frac{\sqrt{2 m K}}{q B}$

where, $K$ =kinetic energy.

$\Rightarrow r \propto \frac{\sqrt{m}}{q}$

Further,

	$e$	$p$	$α$
$m$	$1 / 1836$	1	14
$q$	$- e$	$+ e$	$2 e$

$∴ r_{p} = r_{α} > r_{e}$

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Magnetics 1 Question 7

7. An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re,rp,rα respectively, in a uniform magnetic field B. The relation between re,rp,rα is

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7. An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii $r_{e}, r_{p}, r_{α}$ respectively, in a uniform magnetic field $B$ . The relation between $r_{e}, r_{p}, r_{α}$ is