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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
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- 12 cm
- 16 cm
- 11 cm
- 18 cm
Correct Option: C
K.E. of electron = 10 eV
⇒ | mv² = 10 eV | |
2 |
⇒ | (9.1 × 10-31)v² = 10 × 1.6 × 10-19 | |
2 |
⇒ v² = | ||
9.1 × 10-31 |
⇒ v² = 3.52 × 1012 ⇒ v = 1.88 × 106 m
Also, we know that for circular motion
= Bev ⇒ r = | = 11 cm | |||
r | Be |