JEE MAIN - Physics (2020 - 9th January Evening Slot - No. 14)
An electron gun is placed inside a long solenoid
of radius R on its axis. The solenoid has n
turns/length and carries a current I. The
electron gun shoots an electron along the radius
of the solenoid with speed v. If the electron
does not hit the surface of the solenoid,
maximum possible value of v is (all symbols
have their standard meaning) :
_9th_January_Evening_Slot_en_14_1.png)
$${{e{\mu _0}nIR} \over {4m}}$$
$${{e{\mu _0}nIR} \over m}$$
$${{e{\mu _0}nIR} \over {2m}}$$
$${{2e{\mu _0}nIR} \over m}$$
Explanation
B = $$\mu $$0nI
$${{m{V_{\max }}} \over {qB}} = {R \over 2}$$
Vmax = $${{qBR} \over {2m}}$$
= $${{qR{\mu _0}nI} \over {2m}}$$
$${{m{V_{\max }}} \over {qB}} = {R \over 2}$$
Vmax = $${{qBR} \over {2m}}$$
= $${{qR{\mu _0}nI} \over {2m}}$$
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