A laser with a power output of \(2~\text{mW}\) operates at a wavelength of \(500~\text{nm}.\) The number of photons emitted per second is:
(Planck's constant, \(h=6.6\times 10^{-34}~\text{J-s}\) & speed of light, \(c=3.0\times 10^8~\text{m/s}\) )
1. \( 5 \times 10^{15} \)
2. \(1.5 \times 10^{16} \)
3. \(1 \times 10^{16} \)
4. \(2 \times 10^{16}\)

Subtopic:  Particle Nature of Light |
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Two light sources emit \(\mathrm{X}\)-rays with a wavelength of \(1~\text{nm}\) and visible light with a wavelength of \(500~\text{nm},\) respectively. Both sources emit light with the same power of \(200~\text W.\) What is the ratio of the number density of photons of \(\mathrm{X}\)-rays to the number density of photons of visible light for the given wavelengths?
1. \( \dfrac{1}{500} \) 2. \( 500 \)
3. \( \dfrac{1}{250} \) 4. \( 250\)
Subtopic:  Particle Nature of Light |
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Given below are two statements :

Assertion (A): Two photons having equal linear momenta have equal wavelengths.
Reason (R): If the wavelength of the photon is decreased, then the momentum and energy of a
photon will also decrease.
 
1. Both (A) and (R) are true and (R) is the correct explanation of (A).
2. Both (A) and (R) are true but (R) is not the correct explanation of (A).
3. (A) is true but (R) is false.
4. (A) is false but (R) is true.
Subtopic:  Particle Nature of Light |
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If a substance absorbs \(500~\text{nm}\) wavelength radiation and emits radiation of wavelength \(600~\text{nm},\) then the net change in energy is:  (take \(hc=1240~\text{eV-nm}\))
1. \(1.2\times10^{-3}~\text{eV}\)
2. \(3.0\times10^{-4}~\text{eV}\)
3. \(4.1\times10^{-1}~\text{eV}\)
4. \(5.2\times10^{-4}~\text{eV}\)
Subtopic:  Particle Nature of Light |
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Average force exerted on a non-reflecting surface at normal incidence is \(2.4 \times 10^{-4} \mathrm{~N}.\) If \(360 \mathrm{~W} / \mathrm{cm}^2\) is the light energy flux during span of \(1\) hour \(30\) minutes, Then the area of the surface is:
1. \(0.02 \mathrm{~m}^2\)
2. \(0.2 \mathrm{~m}^2\)
3. \(20 \mathrm{~m}^2\)
4. \(0.1 \mathrm{~m}^2\)
Subtopic:  Particle Nature of Light |
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