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Question: An electron gun T emits electron accelerated by a potential difference U in a vacuum in the directio...

An electron gun T emits electron accelerated by a potential difference U in a vacuum in the direction of the line a as shown in figure. Target M is placed at a distance d as shown in figure. Find the magnetic field perpendicular to the plane determine by line a and the point M in order that electron hit the target M –

A
B

2Umee\sqrt { \frac { 2 \mathrm { Um } _ { \mathrm { e } } } { \mathrm { e } } }

C

2UmeeSinαd\sqrt { \frac { 2 U m _ { e } } { e } } \frac { \operatorname { Sin } \alpha } { d }

D

Sinαd\frac { \operatorname { Sin } \alpha } { d }

Answer
Explanation

Solution

BeV = … (1)

Also, r = d2sinα\frac { d } { 2 \sin \alpha } … (2)

Kinetic energy of electron = eU …(3)

From (1), (2), (3)

B =