If the kinetic energy of the particle is increased to 16 times its previous value

If The Kinetic Energy Of The Particle Is Increased To Physics Question

If the kinetic energy of the particle is increased to 16 times its previous value, the percentage change in the de-broglie wavelength of the particle is

Options

(a) 25
(b) 75
(c) 60
(d) 50

Correct Answer:

75

Explanation:

For de-Broglie wavelength, λ₁ = h / p = h / √(2mK) —–(i)
λ₂ = h / √(2m 16K) = h / 4√(2mK) = λ₁ / 4 ——-(ii)
λ₂ = 25% of λ₁
There is 75% change in the wavelength.

Related Questions:

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  2. The potential energy of a simple harmonic oscillator when the particle is half way
  3. A battery charges a parallel plate capacitor seperated by distance(d) so that the energy
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Topics: Dual Nature of Matter and Radiation (150)
Subject: Physics (2479)

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