Wave Nature Of Light Of Matter (de-Broglie)
Dual nature of radiation and Matter

142544 A proton when accelerated through a potential difference of $V$, has a de-Broglie wavelength $\lambda$ associated with it. If an $\alpha$-particle is to have the same de-Broglie wavelength $\lambda$, it must be accelerated through a potential difference of

1 $\frac{\mathrm{V}}{8}$
2 $\frac{\mathrm{V}}{4}$
3 $4 \mathrm{~V}$
4 $8 \mathrm{~V}$
Dual nature of radiation and Matter

142545 The de-Broglie wavelength of an electron moving with a velocity of $1.5 \times 10^{8} \mathrm{~m} / \mathrm{s}$ is equal to that of a photon. The ratio of kinetic energy of the electron to that of the photon $\left(c=3 \times 10^{8}\right.$ $\mathbf{m} / \mathbf{s})$

1 2
2 4
3 $\frac{1}{2}$
4 $\frac{1}{4}$
Dual nature of radiation and Matter

142546 The energy of a photon is equal to the kinetic energy of a proton. If $\lambda_{1}$ is the de-Broglie wavelength of a proton, $\lambda_{2}$ the wavelength associated with the photon and if the energy of the photon is $E$, then $\left(\lambda_{1} / \lambda_{2}\right)$ is proportional to

1 $\mathrm{E}^{4}$
2 $\mathrm{E}^{1 / 2}$
3 $\mathrm{E}^{2}$
4 $\mathrm{E}$
Dual nature of radiation and Matter

142548 A photo sensitive metallic surface emits electrons when $X$-rays of wavelength $\lambda$ fall on it. The de-Broglie wavelength of the emitted electrons is (Neglect the work function of the surface, $m$ is mass of the electron, $h$ is Planck's $c$ is the velocity of light

1 $\sqrt{\frac{2 \mathrm{mc}}{\mathrm{h} \lambda}}$
2 $\sqrt{\frac{\mathrm{h} \lambda}{2 \mathrm{mc}}}$
3 $\sqrt{\frac{\mathrm{mc}}{\mathrm{h} \lambda}}$
4 $\sqrt{\frac{\mathrm{h} \lambda}{\mathrm{mc}}}$
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Dual nature of radiation and Matter

142544 A proton when accelerated through a potential difference of $V$, has a de-Broglie wavelength $\lambda$ associated with it. If an $\alpha$-particle is to have the same de-Broglie wavelength $\lambda$, it must be accelerated through a potential difference of

1 $\frac{\mathrm{V}}{8}$
2 $\frac{\mathrm{V}}{4}$
3 $4 \mathrm{~V}$
4 $8 \mathrm{~V}$
Dual nature of radiation and Matter

142545 The de-Broglie wavelength of an electron moving with a velocity of $1.5 \times 10^{8} \mathrm{~m} / \mathrm{s}$ is equal to that of a photon. The ratio of kinetic energy of the electron to that of the photon $\left(c=3 \times 10^{8}\right.$ $\mathbf{m} / \mathbf{s})$

1 2
2 4
3 $\frac{1}{2}$
4 $\frac{1}{4}$
Dual nature of radiation and Matter

142546 The energy of a photon is equal to the kinetic energy of a proton. If $\lambda_{1}$ is the de-Broglie wavelength of a proton, $\lambda_{2}$ the wavelength associated with the photon and if the energy of the photon is $E$, then $\left(\lambda_{1} / \lambda_{2}\right)$ is proportional to

1 $\mathrm{E}^{4}$
2 $\mathrm{E}^{1 / 2}$
3 $\mathrm{E}^{2}$
4 $\mathrm{E}$
Dual nature of radiation and Matter

142548 A photo sensitive metallic surface emits electrons when $X$-rays of wavelength $\lambda$ fall on it. The de-Broglie wavelength of the emitted electrons is (Neglect the work function of the surface, $m$ is mass of the electron, $h$ is Planck's $c$ is the velocity of light

1 $\sqrt{\frac{2 \mathrm{mc}}{\mathrm{h} \lambda}}$
2 $\sqrt{\frac{\mathrm{h} \lambda}{2 \mathrm{mc}}}$
3 $\sqrt{\frac{\mathrm{mc}}{\mathrm{h} \lambda}}$
4 $\sqrt{\frac{\mathrm{h} \lambda}{\mathrm{mc}}}$
Dual nature of radiation and Matter

142544 A proton when accelerated through a potential difference of $V$, has a de-Broglie wavelength $\lambda$ associated with it. If an $\alpha$-particle is to have the same de-Broglie wavelength $\lambda$, it must be accelerated through a potential difference of

1 $\frac{\mathrm{V}}{8}$
2 $\frac{\mathrm{V}}{4}$
3 $4 \mathrm{~V}$
4 $8 \mathrm{~V}$
Dual nature of radiation and Matter

142545 The de-Broglie wavelength of an electron moving with a velocity of $1.5 \times 10^{8} \mathrm{~m} / \mathrm{s}$ is equal to that of a photon. The ratio of kinetic energy of the electron to that of the photon $\left(c=3 \times 10^{8}\right.$ $\mathbf{m} / \mathbf{s})$

1 2
2 4
3 $\frac{1}{2}$
4 $\frac{1}{4}$
Dual nature of radiation and Matter

142546 The energy of a photon is equal to the kinetic energy of a proton. If $\lambda_{1}$ is the de-Broglie wavelength of a proton, $\lambda_{2}$ the wavelength associated with the photon and if the energy of the photon is $E$, then $\left(\lambda_{1} / \lambda_{2}\right)$ is proportional to

1 $\mathrm{E}^{4}$
2 $\mathrm{E}^{1 / 2}$
3 $\mathrm{E}^{2}$
4 $\mathrm{E}$
Dual nature of radiation and Matter

142548 A photo sensitive metallic surface emits electrons when $X$-rays of wavelength $\lambda$ fall on it. The de-Broglie wavelength of the emitted electrons is (Neglect the work function of the surface, $m$ is mass of the electron, $h$ is Planck's $c$ is the velocity of light

1 $\sqrt{\frac{2 \mathrm{mc}}{\mathrm{h} \lambda}}$
2 $\sqrt{\frac{\mathrm{h} \lambda}{2 \mathrm{mc}}}$
3 $\sqrt{\frac{\mathrm{mc}}{\mathrm{h} \lambda}}$
4 $\sqrt{\frac{\mathrm{h} \lambda}{\mathrm{mc}}}$
Dual nature of radiation and Matter

142544 A proton when accelerated through a potential difference of $V$, has a de-Broglie wavelength $\lambda$ associated with it. If an $\alpha$-particle is to have the same de-Broglie wavelength $\lambda$, it must be accelerated through a potential difference of

1 $\frac{\mathrm{V}}{8}$
2 $\frac{\mathrm{V}}{4}$
3 $4 \mathrm{~V}$
4 $8 \mathrm{~V}$
Dual nature of radiation and Matter

142545 The de-Broglie wavelength of an electron moving with a velocity of $1.5 \times 10^{8} \mathrm{~m} / \mathrm{s}$ is equal to that of a photon. The ratio of kinetic energy of the electron to that of the photon $\left(c=3 \times 10^{8}\right.$ $\mathbf{m} / \mathbf{s})$

1 2
2 4
3 $\frac{1}{2}$
4 $\frac{1}{4}$
Dual nature of radiation and Matter

142546 The energy of a photon is equal to the kinetic energy of a proton. If $\lambda_{1}$ is the de-Broglie wavelength of a proton, $\lambda_{2}$ the wavelength associated with the photon and if the energy of the photon is $E$, then $\left(\lambda_{1} / \lambda_{2}\right)$ is proportional to

1 $\mathrm{E}^{4}$
2 $\mathrm{E}^{1 / 2}$
3 $\mathrm{E}^{2}$
4 $\mathrm{E}$
Dual nature of radiation and Matter

142548 A photo sensitive metallic surface emits electrons when $X$-rays of wavelength $\lambda$ fall on it. The de-Broglie wavelength of the emitted electrons is (Neglect the work function of the surface, $m$ is mass of the electron, $h$ is Planck's $c$ is the velocity of light

1 $\sqrt{\frac{2 \mathrm{mc}}{\mathrm{h} \lambda}}$
2 $\sqrt{\frac{\mathrm{h} \lambda}{2 \mathrm{mc}}}$
3 $\sqrt{\frac{\mathrm{mc}}{\mathrm{h} \lambda}}$
4 $\sqrt{\frac{\mathrm{h} \lambda}{\mathrm{mc}}}$