Wave Nature of Matter
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357884 If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by a factor of

1 2
2 \({\dfrac{1}{2}}\)
3 \({\sqrt{2}}\)
4 \({\dfrac{1}{\sqrt{2}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357885 An electron of mass \(m\) and \(a\) photon have same energy \(E\). The ratio of de Broglie wavelengths associated with them is :

1 \(\dfrac{1}{c}\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
2 \({\left( {\frac{E}{{2m}}} \right)^{ - \frac{1}{2}}}\)
3 \(\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
4 \(\dfrac{1}{x c}\left(\dfrac{2 m}{E}\right)^{\frac{1}{2}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357886 If we consider electrons and protons of the same wavelength, they will have the same

1 velocity
2 energy
3 momentum
4 angular momentum
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357887 A photon of wavelength \(\lambda\) is scattered from an electron, which was at rest. The wavelength shift \(\Delta \lambda\) is three times of \(\lambda\) and the angle of scattering \(\theta\) is \(60^{\circ}\). The angle at which the electron recoiled is \(\phi\). The value of \(\tan \phi\) is : (electron speed is much smaller than the speed of light)

1 0.16
2 0.28
3 0.25
4 0.22
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357884 If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by a factor of

1 2
2 \({\dfrac{1}{2}}\)
3 \({\sqrt{2}}\)
4 \({\dfrac{1}{\sqrt{2}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357885 An electron of mass \(m\) and \(a\) photon have same energy \(E\). The ratio of de Broglie wavelengths associated with them is :

1 \(\dfrac{1}{c}\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
2 \({\left( {\frac{E}{{2m}}} \right)^{ - \frac{1}{2}}}\)
3 \(\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
4 \(\dfrac{1}{x c}\left(\dfrac{2 m}{E}\right)^{\frac{1}{2}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357886 If we consider electrons and protons of the same wavelength, they will have the same

1 velocity
2 energy
3 momentum
4 angular momentum
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357887 A photon of wavelength \(\lambda\) is scattered from an electron, which was at rest. The wavelength shift \(\Delta \lambda\) is three times of \(\lambda\) and the angle of scattering \(\theta\) is \(60^{\circ}\). The angle at which the electron recoiled is \(\phi\). The value of \(\tan \phi\) is : (electron speed is much smaller than the speed of light)

1 0.16
2 0.28
3 0.25
4 0.22
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357884 If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by a factor of

1 2
2 \({\dfrac{1}{2}}\)
3 \({\sqrt{2}}\)
4 \({\dfrac{1}{\sqrt{2}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357885 An electron of mass \(m\) and \(a\) photon have same energy \(E\). The ratio of de Broglie wavelengths associated with them is :

1 \(\dfrac{1}{c}\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
2 \({\left( {\frac{E}{{2m}}} \right)^{ - \frac{1}{2}}}\)
3 \(\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
4 \(\dfrac{1}{x c}\left(\dfrac{2 m}{E}\right)^{\frac{1}{2}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357886 If we consider electrons and protons of the same wavelength, they will have the same

1 velocity
2 energy
3 momentum
4 angular momentum
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357887 A photon of wavelength \(\lambda\) is scattered from an electron, which was at rest. The wavelength shift \(\Delta \lambda\) is three times of \(\lambda\) and the angle of scattering \(\theta\) is \(60^{\circ}\). The angle at which the electron recoiled is \(\phi\). The value of \(\tan \phi\) is : (electron speed is much smaller than the speed of light)

1 0.16
2 0.28
3 0.25
4 0.22
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357884 If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by a factor of

1 2
2 \({\dfrac{1}{2}}\)
3 \({\sqrt{2}}\)
4 \({\dfrac{1}{\sqrt{2}}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357885 An electron of mass \(m\) and \(a\) photon have same energy \(E\). The ratio of de Broglie wavelengths associated with them is :

1 \(\dfrac{1}{c}\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
2 \({\left( {\frac{E}{{2m}}} \right)^{ - \frac{1}{2}}}\)
3 \(\left(\dfrac{E}{2 m}\right)^{\frac{1}{2}}\)
4 \(\dfrac{1}{x c}\left(\dfrac{2 m}{E}\right)^{\frac{1}{2}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357886 If we consider electrons and protons of the same wavelength, they will have the same

1 velocity
2 energy
3 momentum
4 angular momentum
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357887 A photon of wavelength \(\lambda\) is scattered from an electron, which was at rest. The wavelength shift \(\Delta \lambda\) is three times of \(\lambda\) and the angle of scattering \(\theta\) is \(60^{\circ}\). The angle at which the electron recoiled is \(\phi\). The value of \(\tan \phi\) is : (electron speed is much smaller than the speed of light)

1 0.16
2 0.28
3 0.25
4 0.22