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A particle of mass 1 mg has the same wavelength as an electron moving with a velocity of 3×106 ms–1. The velocity of the particle is:
(mass of electron = 9.1×10–31 kg)
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- 2.7× 10–18 ms–1
- 9 × 10–2 ms–1
- 3 × 10–31 ms–1
- 2.7×10–21 ms–1
Correct Option: D
Wavelength of particle (λ1)
| = | = | |||
| mv | (1 × 10-3) × v |
where v is the velocity of the particle. Wave length of electron
| (λ2) = | (9.1 × 10-31) × (3 × 106) |
But λ1 = λ2
| ∴ | = | |||
| (1 × 10-3) × v | (9.1 × 10-31) × (3 × 106) |
| ⇒ v = | 10-3 |
= 2.73×10–21 ms–1
