Miscellaneous Problems on Dual Nature of Radiation and Matter
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357567 Assertion :
An electron microscope can achieve better resolving power than an optical microscope.
Reason :
The de-Broglie wavelength of the electrons emitted from an electron gun with velocity \(5 \times {10^5}\;m{\rm{/}}s\) is much less than \(500\,nm.\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357568 Which of the following statements are true?
I.
In the interaction with matter, radiation behaves as if it is made up of particles called photons.
II.
Each photon has energy \(E=h v\) and momentum \(p=h v / c\)
III.
Photons are electrically neutral and are not deflected by electric and magnetic fields.
IV.
In a photon-particle collision, photon number is conserved

1 I and II
2 I, II and III
3 I, III and IV
4 I, II and IV
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357569 \(\lambda_{1}\) and \(\lambda_{2}\) are used to illuminate the slits. \(\beta_{1}\) and \(\beta_{2}\) are the corresponding fringe widths. The wavelength \(\lambda_{1}\) can produce photoelectric effect when incident on a metal. But the wavelength \(\lambda_{2}\) cannot produce photoelectric effect. The correct relation between \(\beta_{1}\) and \(\beta_{2}\) is

1 \(\beta_{1} < \beta_{2}\)
2 \(\beta_{1}=\beta_{2}\)
3 \(\beta_{1}>\beta_{2}\)
4 \(\beta_{1} \geq \beta_{2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357570 An \(X\)-ray pulse of wavelength \(4.9\,\mathop {{\rm{ }}A}\limits^{\;\;^\circ } \) is sent through a section of Wilson cloud chamber containing a super saturated gas and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths \(1.40\;cm\) and \(2.02\;cm\) are noted. If the range energy relation for cloud chamber is given by \(R=\alpha E\) with \(\alpha = 1\,cmke{V^{ - 1}}\), obtain the binding energies of the two levels from which electrons are emitted.
(Take, \(h = 6.63 \times {10^{ - 34}}\;J - s\),
\(1eV = 1.6 \times {10^{ - 19}}\;J\))

1 \(0.52\,keV\)
2 \(0.75\,eV\)
3 \(0.52\,eV\)
4 \(0.75\,keV\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357571 A \(60\;W\) source emits monochromatic light of wavelength \(662.5\;nm\). The number of photons emitted per second is

1 \(5 \times 10^{26}\)
2 \(2 \times 10^{29}\)
3 \(5 \times 10^{17}\)
4 \(2 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357567 Assertion :
An electron microscope can achieve better resolving power than an optical microscope.
Reason :
The de-Broglie wavelength of the electrons emitted from an electron gun with velocity \(5 \times {10^5}\;m{\rm{/}}s\) is much less than \(500\,nm.\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357568 Which of the following statements are true?
I.
In the interaction with matter, radiation behaves as if it is made up of particles called photons.
II.
Each photon has energy \(E=h v\) and momentum \(p=h v / c\)
III.
Photons are electrically neutral and are not deflected by electric and magnetic fields.
IV.
In a photon-particle collision, photon number is conserved

1 I and II
2 I, II and III
3 I, III and IV
4 I, II and IV
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357569 \(\lambda_{1}\) and \(\lambda_{2}\) are used to illuminate the slits. \(\beta_{1}\) and \(\beta_{2}\) are the corresponding fringe widths. The wavelength \(\lambda_{1}\) can produce photoelectric effect when incident on a metal. But the wavelength \(\lambda_{2}\) cannot produce photoelectric effect. The correct relation between \(\beta_{1}\) and \(\beta_{2}\) is

1 \(\beta_{1} < \beta_{2}\)
2 \(\beta_{1}=\beta_{2}\)
3 \(\beta_{1}>\beta_{2}\)
4 \(\beta_{1} \geq \beta_{2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357570 An \(X\)-ray pulse of wavelength \(4.9\,\mathop {{\rm{ }}A}\limits^{\;\;^\circ } \) is sent through a section of Wilson cloud chamber containing a super saturated gas and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths \(1.40\;cm\) and \(2.02\;cm\) are noted. If the range energy relation for cloud chamber is given by \(R=\alpha E\) with \(\alpha = 1\,cmke{V^{ - 1}}\), obtain the binding energies of the two levels from which electrons are emitted.
(Take, \(h = 6.63 \times {10^{ - 34}}\;J - s\),
\(1eV = 1.6 \times {10^{ - 19}}\;J\))

1 \(0.52\,keV\)
2 \(0.75\,eV\)
3 \(0.52\,eV\)
4 \(0.75\,keV\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357571 A \(60\;W\) source emits monochromatic light of wavelength \(662.5\;nm\). The number of photons emitted per second is

1 \(5 \times 10^{26}\)
2 \(2 \times 10^{29}\)
3 \(5 \times 10^{17}\)
4 \(2 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357567 Assertion :
An electron microscope can achieve better resolving power than an optical microscope.
Reason :
The de-Broglie wavelength of the electrons emitted from an electron gun with velocity \(5 \times {10^5}\;m{\rm{/}}s\) is much less than \(500\,nm.\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357568 Which of the following statements are true?
I.
In the interaction with matter, radiation behaves as if it is made up of particles called photons.
II.
Each photon has energy \(E=h v\) and momentum \(p=h v / c\)
III.
Photons are electrically neutral and are not deflected by electric and magnetic fields.
IV.
In a photon-particle collision, photon number is conserved

1 I and II
2 I, II and III
3 I, III and IV
4 I, II and IV
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357569 \(\lambda_{1}\) and \(\lambda_{2}\) are used to illuminate the slits. \(\beta_{1}\) and \(\beta_{2}\) are the corresponding fringe widths. The wavelength \(\lambda_{1}\) can produce photoelectric effect when incident on a metal. But the wavelength \(\lambda_{2}\) cannot produce photoelectric effect. The correct relation between \(\beta_{1}\) and \(\beta_{2}\) is

1 \(\beta_{1} < \beta_{2}\)
2 \(\beta_{1}=\beta_{2}\)
3 \(\beta_{1}>\beta_{2}\)
4 \(\beta_{1} \geq \beta_{2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357570 An \(X\)-ray pulse of wavelength \(4.9\,\mathop {{\rm{ }}A}\limits^{\;\;^\circ } \) is sent through a section of Wilson cloud chamber containing a super saturated gas and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths \(1.40\;cm\) and \(2.02\;cm\) are noted. If the range energy relation for cloud chamber is given by \(R=\alpha E\) with \(\alpha = 1\,cmke{V^{ - 1}}\), obtain the binding energies of the two levels from which electrons are emitted.
(Take, \(h = 6.63 \times {10^{ - 34}}\;J - s\),
\(1eV = 1.6 \times {10^{ - 19}}\;J\))

1 \(0.52\,keV\)
2 \(0.75\,eV\)
3 \(0.52\,eV\)
4 \(0.75\,keV\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357571 A \(60\;W\) source emits monochromatic light of wavelength \(662.5\;nm\). The number of photons emitted per second is

1 \(5 \times 10^{26}\)
2 \(2 \times 10^{29}\)
3 \(5 \times 10^{17}\)
4 \(2 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357567 Assertion :
An electron microscope can achieve better resolving power than an optical microscope.
Reason :
The de-Broglie wavelength of the electrons emitted from an electron gun with velocity \(5 \times {10^5}\;m{\rm{/}}s\) is much less than \(500\,nm.\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357568 Which of the following statements are true?
I.
In the interaction with matter, radiation behaves as if it is made up of particles called photons.
II.
Each photon has energy \(E=h v\) and momentum \(p=h v / c\)
III.
Photons are electrically neutral and are not deflected by electric and magnetic fields.
IV.
In a photon-particle collision, photon number is conserved

1 I and II
2 I, II and III
3 I, III and IV
4 I, II and IV
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357569 \(\lambda_{1}\) and \(\lambda_{2}\) are used to illuminate the slits. \(\beta_{1}\) and \(\beta_{2}\) are the corresponding fringe widths. The wavelength \(\lambda_{1}\) can produce photoelectric effect when incident on a metal. But the wavelength \(\lambda_{2}\) cannot produce photoelectric effect. The correct relation between \(\beta_{1}\) and \(\beta_{2}\) is

1 \(\beta_{1} < \beta_{2}\)
2 \(\beta_{1}=\beta_{2}\)
3 \(\beta_{1}>\beta_{2}\)
4 \(\beta_{1} \geq \beta_{2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357570 An \(X\)-ray pulse of wavelength \(4.9\,\mathop {{\rm{ }}A}\limits^{\;\;^\circ } \) is sent through a section of Wilson cloud chamber containing a super saturated gas and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths \(1.40\;cm\) and \(2.02\;cm\) are noted. If the range energy relation for cloud chamber is given by \(R=\alpha E\) with \(\alpha = 1\,cmke{V^{ - 1}}\), obtain the binding energies of the two levels from which electrons are emitted.
(Take, \(h = 6.63 \times {10^{ - 34}}\;J - s\),
\(1eV = 1.6 \times {10^{ - 19}}\;J\))

1 \(0.52\,keV\)
2 \(0.75\,eV\)
3 \(0.52\,eV\)
4 \(0.75\,keV\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357571 A \(60\;W\) source emits monochromatic light of wavelength \(662.5\;nm\). The number of photons emitted per second is

1 \(5 \times 10^{26}\)
2 \(2 \times 10^{29}\)
3 \(5 \times 10^{17}\)
4 \(2 \times 10^{20}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357567 Assertion :
An electron microscope can achieve better resolving power than an optical microscope.
Reason :
The de-Broglie wavelength of the electrons emitted from an electron gun with velocity \(5 \times {10^5}\;m{\rm{/}}s\) is much less than \(500\,nm.\)

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357568 Which of the following statements are true?
I.
In the interaction with matter, radiation behaves as if it is made up of particles called photons.
II.
Each photon has energy \(E=h v\) and momentum \(p=h v / c\)
III.
Photons are electrically neutral and are not deflected by electric and magnetic fields.
IV.
In a photon-particle collision, photon number is conserved

1 I and II
2 I, II and III
3 I, III and IV
4 I, II and IV
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357569 \(\lambda_{1}\) and \(\lambda_{2}\) are used to illuminate the slits. \(\beta_{1}\) and \(\beta_{2}\) are the corresponding fringe widths. The wavelength \(\lambda_{1}\) can produce photoelectric effect when incident on a metal. But the wavelength \(\lambda_{2}\) cannot produce photoelectric effect. The correct relation between \(\beta_{1}\) and \(\beta_{2}\) is

1 \(\beta_{1} < \beta_{2}\)
2 \(\beta_{1}=\beta_{2}\)
3 \(\beta_{1}>\beta_{2}\)
4 \(\beta_{1} \geq \beta_{2}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357570 An \(X\)-ray pulse of wavelength \(4.9\,\mathop {{\rm{ }}A}\limits^{\;\;^\circ } \) is sent through a section of Wilson cloud chamber containing a super saturated gas and tracks of photoelectron ejected from the gaseous atoms are observed. Two groups of tracks of lengths \(1.40\;cm\) and \(2.02\;cm\) are noted. If the range energy relation for cloud chamber is given by \(R=\alpha E\) with \(\alpha = 1\,cmke{V^{ - 1}}\), obtain the binding energies of the two levels from which electrons are emitted.
(Take, \(h = 6.63 \times {10^{ - 34}}\;J - s\),
\(1eV = 1.6 \times {10^{ - 19}}\;J\))

1 \(0.52\,keV\)
2 \(0.75\,eV\)
3 \(0.52\,eV\)
4 \(0.75\,keV\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357571 A \(60\;W\) source emits monochromatic light of wavelength \(662.5\;nm\). The number of photons emitted per second is

1 \(5 \times 10^{26}\)
2 \(2 \times 10^{29}\)
3 \(5 \times 10^{17}\)
4 \(2 \times 10^{20}\)