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Protons and alpha-particles have the sam...

Protons and `alpha`-particles have the same de Broglie wavelength. What is same for both of them?

A

Time period

B

Energy

C

Frequency

D

Momentum

Text Solution

Verified by Experts

The correct Answer is:
D
`lamda = h / (mv) = h/p`
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A proton and an alpha -particle have the same de-Broglie wavelength. Determine the ratio of (i) their accelerating potentials (ii) their speeds.

Calculate the ratio of the accelerating potential required to accelerate (i) a proton and (ii) and alpha particle to have the same de-Broglie wavelength associated with them.

Knowledge Check

  • If a proton and electron have the same de Broglie wavelength, then

    A
    kinetic energy of electron `lt` kinetic energy of proton
    B
    kinetic energy of electron = kinetic energy of proton
    C
    momentum of electron = momentum of proton
    D
    momentum of electron `lt` momentum of proton

  • For particles having same K.E., the de-Broglie wavelength is

    A
    Directly proportional to its velocity
    B
    Inversely proportionals to its velocity
    C
    Independent of its mass and velocity
    D
    Unpredictable

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    Find the ratio of velocities of proton and alpha -particle if the de Broglie wavelengths of both the particles is same.

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