Question

An electron moves in a circular arc of radius 10 m at a constant speed of 2 × 10⁷ ms⁻¹ with its plane of motion normal to a magnetic flux density of 10⁻⁵ T. What will be the value of specific charge of the electron?(a) 2 × 10⁴ C kg⁻¹(b) 2 × 10⁵ C kg⁻¹(c) 5 × 10⁶ C kg⁻¹(d) 2 × 10¹¹ C kg⁻¹

Answer 1

ANSWER :

Force due to circular motion:F=  

r

mv  

2

Force due to magnetic field: F  

B

=qvB

⇒F=F  

B

⇒  

r

mv  

2

=qvB

⇒  

m

q

=  

rB

v

​Let r=10 m, v=2×10  

7

 ms  

−1

, B=10  

−5

 T

⇒  

m

q

=  

10×10  

−5

 

2×10  

7

m

q  

=2×10  

11

 C kg  

−1

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