True or false A) A slow electron has a shorter de Broglie\'s wavelength than a f

Question

True or false
A) A slow electron has a shorter de Broglie's wavelength than a fast electron.
B) The waves associated with material particles are termed "mechanical waves".
C) The wavelength of a proton is shorter than the wavelength of an electron moving at the same speed.
D) As you change the color of a light beam without changing the intensity, the energy of the photons remains the same.
E) As you increase the intensity of a light beam without changing the frequency, the energy of the photons remains the same.
   

Explanation / Answer

Solution: (A) According to de-Broglie hypothesis ? = h/p. For slow electrons, p is less, so ? will be higher than the fast electrons. So A is false.

(B) The waves associated with material particles are termed "matter waves". So, B is false.

(C) Mass of proton is almost 1837 times that of an electron. As ? = h/p, de-Broglie wavelength of a proton is shorter than the wavelength of an electron moving at the same speed. C is true.

(D) Energy of a photon depends on wavelength (color) as E = hc/?. So D is false.

(E) E is true. Energy of a photon does not depend on intensity.

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