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Moving Charges and Magnetism

  1. A 10 eV electron is circulating in a plane at right angles to a uniform field at magnetic induction 10-4 Wb/m² (= 1.0 gauss). The orbital radius of the electron is​​
    1. 12 cm
    2. 16 cm
    3. ​11 cm
    4. 18 cm
Correct Option: C

K.E. of electron = 10 eV ​

1
mv² = 10 eV
2

1
(9.1 × 10-31)v² = 10 × 1.6 × 10-19
2

⇒ v² =
2 × 10 × 1.6 × 10-19
9.1 × 10-31

⇒  v² = 3.52 × 1012  ⇒  v = 1.88 × 106 m
​Also, we know that for circular motion ​
mv²
= Bev ⇒ r =
mv
= 11 cm
rBe



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