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A particle of mass 1mg has the same wavelength as an electron moving with a velocity of 3 x 10⁶ ms⁻¹. The velocity of the particle is: (mass of electron = 9.1 x 10⁻³¹ kg)
Options
(a) 2.7 x 10⁻¹⁸ ms⁻¹
(b) 9 x 10⁻² ms⁻¹
(c) 3 x 10⁻³¹ ms⁻¹
(d) 2.7 x 10⁻²¹ ms⁻¹
Correct Answer:
2.7 x 10⁻²¹ ms⁻¹
Explanation:
Wavelength of particle (λ₁)
= h/mv = h / (1 x 10⁻³) x v
where v is the velocity of the particle. Wavelength of electron
(λ₂) = h / (9.1 x 10⁻³¹) x (3 x 10⁶)
But λ₁ = λ₂
h / (1 x 10⁻³) x v = h / (9.1 x 10⁻³¹) x (3 x 10⁶)
v = (9.1 x 10⁻³¹) x (3 x 10⁶) / 10⁻³
= 2.7 x 10⁻²¹ ms⁻¹
Related Questions: - Two particles are oscillating along the same line with the same frequency
- In cyclotron, for a given magnet, radius of the semicircle traced by positive ion
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Topics: Dual Nature of Matter and Radiation
(150)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Two particles are oscillating along the same line with the same frequency
- In cyclotron, for a given magnet, radius of the semicircle traced by positive ion
- A solid cylinder of mass M and radius R rolls without slipping down and inclined plane
- In a uniform circular motion, work done in one complete rotation is
- Minimum and maximum values of Poisson’s ratio for a metal lies between
Topics: Dual Nature of Matter and Radiation (150)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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