Dual Nature Of Radiation And Matter

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Question
CBSEENPH12039623

A photon of frequency v has a momentum associated with it. If c is the velocity of light, the momentum is

  • v /c

  • h v c

  • h v /c2

  • h v /c

Solution

D.

h v /c

straight P space equals space fraction numerator straight h over denominator space straight lambda end fraction space equals hv over straight c

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Question
CBSEENPH12039734

According to Einstein’s photoelectric equation, the plot of the kinetic energy of the emitted photo electrons from a metal Vs the frequency, of the incident radiation gives straight line whose slope

  • depends on the nature of the metal used

  • depends on the intensity of the radiation

  • depends both on the intensity of the radiation and the metal used

  • is the same for all metals and independent of the intensity of the radiation.

Solution

D.

is the same for all metals and independent of the intensity of the radiation.

WiredFaculty
Einstein's photoelectric equation is
K.E.max = hv − φ ............... (i)
The equation of line is
y = mx + c .............. (ii)
Comparing above two equations m = h, c = - φ
Hence, the slope of the graph is equal to Planck's constant (non-variable) and does not depend on the intensity of radiation.

Question
CBSEENPH12039652

An alpha nucleus of energy 1 /2 mv2 bombards a heavy nuclear target of charge Ze. Then the distance of closest approach for the alpha nucleus will be proportional to 

  • 1/Ze

  • v2

  • 1/m

  • 1/v4

Solution

C.

1/m

Question
CBSEENPH12039712

An electromagnetic wave of frequency ν = 3.0 MHz passes from vacuum into a dielectric medium with permittivity ε = 4.0. Then

  • wavelength is doubled and the frequency remains unchanged

  • wavelength is doubled and frequency becomes half

  • wavelength is halved and frequency remains unchanged

  • wavelength and frequency both remain unchanged.

Solution

C.

wavelength is halved and frequency remains unchanged

In vacuum, ε0 = 1
In medium, ε = 4
So, refractive index
WiredFaculty
Hence, it is clear that wavelength and velocity will become half but frequency remains unchanged when the wave is passing through any medium.

Question
CBSEENPH12039574

An electron beam is accelerated by a potential difference V to hit a metallic target to produce X-rays. It produces continuous as well as characteristic X-rays.If λmin is the smallest possible wavelength of X-ray in the spectrum, the variation of log λ min with log V is correctly represented in

  • WiredFaculty
  • WiredFaculty
  • WiredFaculty
  • WiredFaculty

Solution

C.

WiredFaculty hc over straight lambda subscript min space equals space eV
1 over straight lambda subscript min space equals space eV over hc
calligraphic l space n open parentheses 1 over lambda subscript m i n end subscript close parentheses space equals 																</p>
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