Wave Nature of Matter
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357875 The de Broglie wavelength of an electron moving with a velocity of \(2 \times 10^{8} {~m} {~s}^{-1}\) is equal to that of a photon. Find the ratio of the kinetic energy of the photon to that of the electron.

1 1
2 5
3 7
4 3
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357876 An electron is 2000 times lighter than a proton. Both are moving such that their matter waves have same wavelength. The ratio of their kinetic energies in approximation is:

1 \(1: 1\)
2 \(1: 2000\)
3 \(2000: 1\)
4 \(1: 200\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357877 An electron of mass \(m\) with an initial velocity \(\overrightarrow v = {v_0}\hat i\left( {{v_0} > 0} \right)\) enters an electric field \(\vec E = - {E_0}\hat i\left( {{E_0} = } \right.\) constant \(\left.>0\right)\) at \(\mathrm{t}=0\). If \(\lambda_{0}\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time \(t\) is

1 \(\lambda_{0} t\)
2 \(\lambda_{0}\)
3 \({\lambda _0}\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)\)
4 \(\frac{{{\lambda _0}}}{{\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357878 A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as

1 \(\lambda_{e}>\lambda_{\alpha}>\lambda_{p}\)
2 \(\lambda_{p}>\lambda_{e}>\lambda_{\alpha}\)
3 \(\lambda_{\alpha} < \lambda_{p} < \lambda_{e}\)
4 \(\lambda_{p} < \lambda_{e} < \lambda_{\alpha}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357875 The de Broglie wavelength of an electron moving with a velocity of \(2 \times 10^{8} {~m} {~s}^{-1}\) is equal to that of a photon. Find the ratio of the kinetic energy of the photon to that of the electron.

1 1
2 5
3 7
4 3
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357876 An electron is 2000 times lighter than a proton. Both are moving such that their matter waves have same wavelength. The ratio of their kinetic energies in approximation is:

1 \(1: 1\)
2 \(1: 2000\)
3 \(2000: 1\)
4 \(1: 200\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357877 An electron of mass \(m\) with an initial velocity \(\overrightarrow v = {v_0}\hat i\left( {{v_0} > 0} \right)\) enters an electric field \(\vec E = - {E_0}\hat i\left( {{E_0} = } \right.\) constant \(\left.>0\right)\) at \(\mathrm{t}=0\). If \(\lambda_{0}\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time \(t\) is

1 \(\lambda_{0} t\)
2 \(\lambda_{0}\)
3 \({\lambda _0}\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)\)
4 \(\frac{{{\lambda _0}}}{{\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357878 A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as

1 \(\lambda_{e}>\lambda_{\alpha}>\lambda_{p}\)
2 \(\lambda_{p}>\lambda_{e}>\lambda_{\alpha}\)
3 \(\lambda_{\alpha} < \lambda_{p} < \lambda_{e}\)
4 \(\lambda_{p} < \lambda_{e} < \lambda_{\alpha}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357875 The de Broglie wavelength of an electron moving with a velocity of \(2 \times 10^{8} {~m} {~s}^{-1}\) is equal to that of a photon. Find the ratio of the kinetic energy of the photon to that of the electron.

1 1
2 5
3 7
4 3
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357876 An electron is 2000 times lighter than a proton. Both are moving such that their matter waves have same wavelength. The ratio of their kinetic energies in approximation is:

1 \(1: 1\)
2 \(1: 2000\)
3 \(2000: 1\)
4 \(1: 200\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357877 An electron of mass \(m\) with an initial velocity \(\overrightarrow v = {v_0}\hat i\left( {{v_0} > 0} \right)\) enters an electric field \(\vec E = - {E_0}\hat i\left( {{E_0} = } \right.\) constant \(\left.>0\right)\) at \(\mathrm{t}=0\). If \(\lambda_{0}\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time \(t\) is

1 \(\lambda_{0} t\)
2 \(\lambda_{0}\)
3 \({\lambda _0}\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)\)
4 \(\frac{{{\lambda _0}}}{{\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357878 A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as

1 \(\lambda_{e}>\lambda_{\alpha}>\lambda_{p}\)
2 \(\lambda_{p}>\lambda_{e}>\lambda_{\alpha}\)
3 \(\lambda_{\alpha} < \lambda_{p} < \lambda_{e}\)
4 \(\lambda_{p} < \lambda_{e} < \lambda_{\alpha}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357875 The de Broglie wavelength of an electron moving with a velocity of \(2 \times 10^{8} {~m} {~s}^{-1}\) is equal to that of a photon. Find the ratio of the kinetic energy of the photon to that of the electron.

1 1
2 5
3 7
4 3
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357876 An electron is 2000 times lighter than a proton. Both are moving such that their matter waves have same wavelength. The ratio of their kinetic energies in approximation is:

1 \(1: 1\)
2 \(1: 2000\)
3 \(2000: 1\)
4 \(1: 200\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357877 An electron of mass \(m\) with an initial velocity \(\overrightarrow v = {v_0}\hat i\left( {{v_0} > 0} \right)\) enters an electric field \(\vec E = - {E_0}\hat i\left( {{E_0} = } \right.\) constant \(\left.>0\right)\) at \(\mathrm{t}=0\). If \(\lambda_{0}\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time \(t\) is

1 \(\lambda_{0} t\)
2 \(\lambda_{0}\)
3 \({\lambda _0}\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)\)
4 \(\frac{{{\lambda _0}}}{{\left( {1 + \frac{{e{E_0}}}{{m{v_0}}}t} \right)}}\)
PHXII11:DUAL NATURE OF RADIATION AND MATTER

357878 A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as

1 \(\lambda_{e}>\lambda_{\alpha}>\lambda_{p}\)
2 \(\lambda_{p}>\lambda_{e}>\lambda_{\alpha}\)
3 \(\lambda_{\alpha} < \lambda_{p} < \lambda_{e}\)
4 \(\lambda_{p} < \lambda_{e} < \lambda_{\alpha}\)