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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: - A radiactive substance emits 100 beta particles in the first 2s and 50 beta
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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
- A radiactive substance emits 100 beta particles in the first 2s and 50 beta
- An α-particle and a proton are accelerated through same potential difference
- Find out the e.m.f. produced when the current changes from 0 to 1 A in 10 sec.
- A copper disc of radius 0.1 m is rotated about its centre, with 10 revolutions
- A point source emits sound equally in all directions in a non-absorbing medium.
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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