Particle Nature of Light
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357574 There are \(n_{1}\) photons of frequency \(v_{1}\) in a beam of light. In an equally energetic beam, there are \(n_{2}\) photons of frequency \(v_{2}\). Then the correct relation is

1 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_1}}}{{{v_2}}}\)
2 \(\frac{{{n_1}}}{{{n_2}}} = 1\)
3 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{v_1^2}}{{v_2^2}}\)
4 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_2}}}{{{v_1}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357575 A source \(S_{1}\) is producing, \(10^{15}\) photon \(/s\) of wavelength \(5000\mathop A\limits^o .\) Another source \(S_{2}\) is producing \(1.02 \times 10^{15}\) photons per second of wavelength \(5100\mathop A\limits^o .\) Then, (power of \(S_{2}\) ) / (power of \(S_{1}\) ) is equal to

1 1.02
2 1.04
3 1.00
4 0.98
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357576 If de-Broglie wavelength associated with electron is \(100 \mathop A^{~~\circ} \) its linear momentum (in \(g\,cm\,{s^{ - 1}}\)) is

1 \(6.6 \times 10^{-32}\)
2 \(6.6 \times 10^{-29}\)
3 \(6.6 \times 10^{-25}\)
4 \(6.6 \times 10^{-21}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357577 A particle having a de Broglie wavelength of \(1.0 \mathop A^{~~\circ} \) is associated with a momentum of (given \(h = 6.6 \times {10^{ - 34}}Js\))

1 \(6.6 \times {10^{ - 26}}\;kg\;m{\rm{/}}s\)
2 \(6.6 \times {10^{ - 25}}\;kg\;m{\rm{/}}s\)
3 \(6.6 \times {10^{ - 24}}\;kg\;m{\rm{/}}s\)
4 \(6.6 \times {10^{ - 22}}\;kg\;m{\rm{/}}s\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357578 A \(200\;W\) sodium street lamp emits yellow light of wavelength \(0.6\,\mu m\). Assuming it to be \(25 \%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1 \(6 \times 10^{18}\)
2 \(1.5 \times 10^{20}\)
3 \(3 \times 10^{19}\)
4 \(62 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357574 There are \(n_{1}\) photons of frequency \(v_{1}\) in a beam of light. In an equally energetic beam, there are \(n_{2}\) photons of frequency \(v_{2}\). Then the correct relation is

1 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_1}}}{{{v_2}}}\)
2 \(\frac{{{n_1}}}{{{n_2}}} = 1\)
3 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{v_1^2}}{{v_2^2}}\)
4 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_2}}}{{{v_1}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357575 A source \(S_{1}\) is producing, \(10^{15}\) photon \(/s\) of wavelength \(5000\mathop A\limits^o .\) Another source \(S_{2}\) is producing \(1.02 \times 10^{15}\) photons per second of wavelength \(5100\mathop A\limits^o .\) Then, (power of \(S_{2}\) ) / (power of \(S_{1}\) ) is equal to

1 1.02
2 1.04
3 1.00
4 0.98
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357576 If de-Broglie wavelength associated with electron is \(100 \mathop A^{~~\circ} \) its linear momentum (in \(g\,cm\,{s^{ - 1}}\)) is

1 \(6.6 \times 10^{-32}\)
2 \(6.6 \times 10^{-29}\)
3 \(6.6 \times 10^{-25}\)
4 \(6.6 \times 10^{-21}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357577 A particle having a de Broglie wavelength of \(1.0 \mathop A^{~~\circ} \) is associated with a momentum of (given \(h = 6.6 \times {10^{ - 34}}Js\))

1 \(6.6 \times {10^{ - 26}}\;kg\;m{\rm{/}}s\)
2 \(6.6 \times {10^{ - 25}}\;kg\;m{\rm{/}}s\)
3 \(6.6 \times {10^{ - 24}}\;kg\;m{\rm{/}}s\)
4 \(6.6 \times {10^{ - 22}}\;kg\;m{\rm{/}}s\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357578 A \(200\;W\) sodium street lamp emits yellow light of wavelength \(0.6\,\mu m\). Assuming it to be \(25 \%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1 \(6 \times 10^{18}\)
2 \(1.5 \times 10^{20}\)
3 \(3 \times 10^{19}\)
4 \(62 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357574 There are \(n_{1}\) photons of frequency \(v_{1}\) in a beam of light. In an equally energetic beam, there are \(n_{2}\) photons of frequency \(v_{2}\). Then the correct relation is

1 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_1}}}{{{v_2}}}\)
2 \(\frac{{{n_1}}}{{{n_2}}} = 1\)
3 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{v_1^2}}{{v_2^2}}\)
4 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_2}}}{{{v_1}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357575 A source \(S_{1}\) is producing, \(10^{15}\) photon \(/s\) of wavelength \(5000\mathop A\limits^o .\) Another source \(S_{2}\) is producing \(1.02 \times 10^{15}\) photons per second of wavelength \(5100\mathop A\limits^o .\) Then, (power of \(S_{2}\) ) / (power of \(S_{1}\) ) is equal to

1 1.02
2 1.04
3 1.00
4 0.98
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357576 If de-Broglie wavelength associated with electron is \(100 \mathop A^{~~\circ} \) its linear momentum (in \(g\,cm\,{s^{ - 1}}\)) is

1 \(6.6 \times 10^{-32}\)
2 \(6.6 \times 10^{-29}\)
3 \(6.6 \times 10^{-25}\)
4 \(6.6 \times 10^{-21}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357577 A particle having a de Broglie wavelength of \(1.0 \mathop A^{~~\circ} \) is associated with a momentum of (given \(h = 6.6 \times {10^{ - 34}}Js\))

1 \(6.6 \times {10^{ - 26}}\;kg\;m{\rm{/}}s\)
2 \(6.6 \times {10^{ - 25}}\;kg\;m{\rm{/}}s\)
3 \(6.6 \times {10^{ - 24}}\;kg\;m{\rm{/}}s\)
4 \(6.6 \times {10^{ - 22}}\;kg\;m{\rm{/}}s\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357578 A \(200\;W\) sodium street lamp emits yellow light of wavelength \(0.6\,\mu m\). Assuming it to be \(25 \%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1 \(6 \times 10^{18}\)
2 \(1.5 \times 10^{20}\)
3 \(3 \times 10^{19}\)
4 \(62 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357574 There are \(n_{1}\) photons of frequency \(v_{1}\) in a beam of light. In an equally energetic beam, there are \(n_{2}\) photons of frequency \(v_{2}\). Then the correct relation is

1 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_1}}}{{{v_2}}}\)
2 \(\frac{{{n_1}}}{{{n_2}}} = 1\)
3 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{v_1^2}}{{v_2^2}}\)
4 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_2}}}{{{v_1}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357575 A source \(S_{1}\) is producing, \(10^{15}\) photon \(/s\) of wavelength \(5000\mathop A\limits^o .\) Another source \(S_{2}\) is producing \(1.02 \times 10^{15}\) photons per second of wavelength \(5100\mathop A\limits^o .\) Then, (power of \(S_{2}\) ) / (power of \(S_{1}\) ) is equal to

1 1.02
2 1.04
3 1.00
4 0.98
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357576 If de-Broglie wavelength associated with electron is \(100 \mathop A^{~~\circ} \) its linear momentum (in \(g\,cm\,{s^{ - 1}}\)) is

1 \(6.6 \times 10^{-32}\)
2 \(6.6 \times 10^{-29}\)
3 \(6.6 \times 10^{-25}\)
4 \(6.6 \times 10^{-21}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357577 A particle having a de Broglie wavelength of \(1.0 \mathop A^{~~\circ} \) is associated with a momentum of (given \(h = 6.6 \times {10^{ - 34}}Js\))

1 \(6.6 \times {10^{ - 26}}\;kg\;m{\rm{/}}s\)
2 \(6.6 \times {10^{ - 25}}\;kg\;m{\rm{/}}s\)
3 \(6.6 \times {10^{ - 24}}\;kg\;m{\rm{/}}s\)
4 \(6.6 \times {10^{ - 22}}\;kg\;m{\rm{/}}s\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357578 A \(200\;W\) sodium street lamp emits yellow light of wavelength \(0.6\,\mu m\). Assuming it to be \(25 \%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1 \(6 \times 10^{18}\)
2 \(1.5 \times 10^{20}\)
3 \(3 \times 10^{19}\)
4 \(62 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357574 There are \(n_{1}\) photons of frequency \(v_{1}\) in a beam of light. In an equally energetic beam, there are \(n_{2}\) photons of frequency \(v_{2}\). Then the correct relation is

1 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_1}}}{{{v_2}}}\)
2 \(\frac{{{n_1}}}{{{n_2}}} = 1\)
3 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{v_1^2}}{{v_2^2}}\)
4 \(\frac{{{n_1}}}{{{n_2}}} = \frac{{{v_2}}}{{{v_1}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357575 A source \(S_{1}\) is producing, \(10^{15}\) photon \(/s\) of wavelength \(5000\mathop A\limits^o .\) Another source \(S_{2}\) is producing \(1.02 \times 10^{15}\) photons per second of wavelength \(5100\mathop A\limits^o .\) Then, (power of \(S_{2}\) ) / (power of \(S_{1}\) ) is equal to

1 1.02
2 1.04
3 1.00
4 0.98
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357576 If de-Broglie wavelength associated with electron is \(100 \mathop A^{~~\circ} \) its linear momentum (in \(g\,cm\,{s^{ - 1}}\)) is

1 \(6.6 \times 10^{-32}\)
2 \(6.6 \times 10^{-29}\)
3 \(6.6 \times 10^{-25}\)
4 \(6.6 \times 10^{-21}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357577 A particle having a de Broglie wavelength of \(1.0 \mathop A^{~~\circ} \) is associated with a momentum of (given \(h = 6.6 \times {10^{ - 34}}Js\))

1 \(6.6 \times {10^{ - 26}}\;kg\;m{\rm{/}}s\)
2 \(6.6 \times {10^{ - 25}}\;kg\;m{\rm{/}}s\)
3 \(6.6 \times {10^{ - 24}}\;kg\;m{\rm{/}}s\)
4 \(6.6 \times {10^{ - 22}}\;kg\;m{\rm{/}}s\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357578 A \(200\;W\) sodium street lamp emits yellow light of wavelength \(0.6\,\mu m\). Assuming it to be \(25 \%\) efficient in converting electrical energy to light, the number of photons of yellow light it emits per second is

1 \(6 \times 10^{18}\)
2 \(1.5 \times 10^{20}\)
3 \(3 \times 10^{19}\)
4 \(62 \times 10^{20}\)