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An α-particle moves in a circular path of radius 0.83 cm in the presence of a magnetic field of 0.25 Wb/m². The wavelength associated with the particle will be :
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- 1 Å
- 0.1 Å
- 10 Å
- 0.01 Å
Correct Option: D
Wavelength
| λ = | ⇒ λ = | , | ||
| p | mv |
h = plank’s constant = 6.63 × 10–34 J.S
For circular motion = Fc = qvB
| r = | qVB ⇒ | = r | ||
| r | qB |
| r = | mv ⇒ qrB | |
| qB |
| ⇒ (2e)(0.83 × 10-2) |  |  | ||
| 4 |
| λ = | ||
| 2 × 1.6 × 10-19 × 0.83 × 10-2 |
λ = 9.93 × 10-34 + 21 ≈ 0.01 Å
