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

357892 The de Broglie wavelength of an electron accelerated to a potential of \(400\;V\) is approximately

1 \(0.03\;nm\)
2 \(0.04\;nm\)
3 \(0.12\;nm\)
4 \(0.06\;nm\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357893 A parallel beam of electrons travelling in \(x\) direction falls on a slit of width \(d\) (see figure). If after passing the slit, an electron acquires momentum \(p_{y}\) in the \(y\)-direction then for a majority of electrons passing through the slit (\(h\) is Planck's constant) :
supporting img

1 \(\left|p_{y}\right| d>>h\)
2 \(\left|p_{y}\right| d \simeq h\)
3 \(\left|p_{y}\right| d>h\)
4 \(\left|p_{y}\right| d < h\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357894 A proton and photon both have same energies of \({E=100 {ke} V}\). If the de broglie wavelength of proton and photon be \({\lambda_{1}}\) and \({\lambda_{2}}\), then \({\lambda_{1} / \lambda_{2}}\) is proportional to

1 \({E^{-1 / 2}}\)
2 \({E^{1 / 2}}\)
3 \({E^{-1}}\)
4 \({E}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357895 An electron of mass \(m\) when accelerated through a potential difference has de Broglie wavelength \(\lambda\). The de Broglie wavelength associated with a proton of mass \(M\) accelerated through the same potential difference will be

1 \(\frac{{\lambda mM}}{{m + M}}\)
2 \(\lambda \sqrt {\frac{M}{m}} \)
3 \(\lambda \sqrt {\frac{m}{M}} \)
4 \(\lambda \)
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PHXII11:DUAL NATURE OF RADIATION AND MATTER

357892 The de Broglie wavelength of an electron accelerated to a potential of \(400\;V\) is approximately

1 \(0.03\;nm\)
2 \(0.04\;nm\)
3 \(0.12\;nm\)
4 \(0.06\;nm\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357893 A parallel beam of electrons travelling in \(x\) direction falls on a slit of width \(d\) (see figure). If after passing the slit, an electron acquires momentum \(p_{y}\) in the \(y\)-direction then for a majority of electrons passing through the slit (\(h\) is Planck's constant) :
supporting img

1 \(\left|p_{y}\right| d>>h\)
2 \(\left|p_{y}\right| d \simeq h\)
3 \(\left|p_{y}\right| d>h\)
4 \(\left|p_{y}\right| d < h\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357894 A proton and photon both have same energies of \({E=100 {ke} V}\). If the de broglie wavelength of proton and photon be \({\lambda_{1}}\) and \({\lambda_{2}}\), then \({\lambda_{1} / \lambda_{2}}\) is proportional to

1 \({E^{-1 / 2}}\)
2 \({E^{1 / 2}}\)
3 \({E^{-1}}\)
4 \({E}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357895 An electron of mass \(m\) when accelerated through a potential difference has de Broglie wavelength \(\lambda\). The de Broglie wavelength associated with a proton of mass \(M\) accelerated through the same potential difference will be

1 \(\frac{{\lambda mM}}{{m + M}}\)
2 \(\lambda \sqrt {\frac{M}{m}} \)
3 \(\lambda \sqrt {\frac{m}{M}} \)
4 \(\lambda \)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357892 The de Broglie wavelength of an electron accelerated to a potential of \(400\;V\) is approximately

1 \(0.03\;nm\)
2 \(0.04\;nm\)
3 \(0.12\;nm\)
4 \(0.06\;nm\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357893 A parallel beam of electrons travelling in \(x\) direction falls on a slit of width \(d\) (see figure). If after passing the slit, an electron acquires momentum \(p_{y}\) in the \(y\)-direction then for a majority of electrons passing through the slit (\(h\) is Planck's constant) :
supporting img

1 \(\left|p_{y}\right| d>>h\)
2 \(\left|p_{y}\right| d \simeq h\)
3 \(\left|p_{y}\right| d>h\)
4 \(\left|p_{y}\right| d < h\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357894 A proton and photon both have same energies of \({E=100 {ke} V}\). If the de broglie wavelength of proton and photon be \({\lambda_{1}}\) and \({\lambda_{2}}\), then \({\lambda_{1} / \lambda_{2}}\) is proportional to

1 \({E^{-1 / 2}}\)
2 \({E^{1 / 2}}\)
3 \({E^{-1}}\)
4 \({E}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357895 An electron of mass \(m\) when accelerated through a potential difference has de Broglie wavelength \(\lambda\). The de Broglie wavelength associated with a proton of mass \(M\) accelerated through the same potential difference will be

1 \(\frac{{\lambda mM}}{{m + M}}\)
2 \(\lambda \sqrt {\frac{M}{m}} \)
3 \(\lambda \sqrt {\frac{m}{M}} \)
4 \(\lambda \)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357892 The de Broglie wavelength of an electron accelerated to a potential of \(400\;V\) is approximately

1 \(0.03\;nm\)
2 \(0.04\;nm\)
3 \(0.12\;nm\)
4 \(0.06\;nm\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357893 A parallel beam of electrons travelling in \(x\) direction falls on a slit of width \(d\) (see figure). If after passing the slit, an electron acquires momentum \(p_{y}\) in the \(y\)-direction then for a majority of electrons passing through the slit (\(h\) is Planck's constant) :
supporting img

1 \(\left|p_{y}\right| d>>h\)
2 \(\left|p_{y}\right| d \simeq h\)
3 \(\left|p_{y}\right| d>h\)
4 \(\left|p_{y}\right| d < h\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357894 A proton and photon both have same energies of \({E=100 {ke} V}\). If the de broglie wavelength of proton and photon be \({\lambda_{1}}\) and \({\lambda_{2}}\), then \({\lambda_{1} / \lambda_{2}}\) is proportional to

1 \({E^{-1 / 2}}\)
2 \({E^{1 / 2}}\)
3 \({E^{-1}}\)
4 \({E}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357895 An electron of mass \(m\) when accelerated through a potential difference has de Broglie wavelength \(\lambda\). The de Broglie wavelength associated with a proton of mass \(M\) accelerated through the same potential difference will be

1 \(\frac{{\lambda mM}}{{m + M}}\)
2 \(\lambda \sqrt {\frac{M}{m}} \)
3 \(\lambda \sqrt {\frac{m}{M}} \)
4 \(\lambda \)
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