Dual nature of radiation is shown by

Important Questions on Dual Nature of Radiation and Matter

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 42

An electron is in excited state in a hydrogen like atom. It has a total energy of$-3.4\mathrm{eV}$. The kinetic energy of electron is $E$ and its de Broglie wavelength is $\lambda$. Then $\lambda =\frac{h}{\sqrt{nmE}}$. Value of $n$, is

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 43

A particle of mass$M$ at rest decays into two particles of masses $m_1$ and $m_2$, having non-zero velocities. The ratio of the de Broglie wavelength of the particles is

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 44

If work function of a metal is $3 \mathrm{eV}$ and wavelength of subjected radiation to the metal is $275 \mathrm{nm}$. Then the de Broglie's wavelength (in Å) of photoelectrons emitted by the metal is nearly$n$. Value of $n$ rounded off to nearest integer, is
(Given $hc=1240 \mathrm{eV} \mathrm{nm}$ )

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 45

The wavelength of photon of energy$E$ is same as the de Broglie wavelength of a material particle moving with the $7.5\times {10}^7{ \mathrm{ms}}^{-1}$ and kinetic energy $E^{\text{'}}$. Then $\frac{E}{E^{\text{'}}}$ is

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 46

A silver ball of radius $4.8 \mathrm{cm}$ is suspended by a thread in the vacuum chamber. UV light of wavelength $200 \mathrm{nm}$ is incident on the ball for some times during which a total energy of $1\times {10}^{-7} \mathrm{J}$ falls on the surface. Assuming on an average one out of ${10}^3$ photons incident is able to eject electron. The potential on sphere will be $n\vee$. Value of $n$ rounded off to integer, is

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 47

Photons are incident from vacuum on a transparent material with a refractive index $1.50$ for a given wavelength. The momentum of the incident photon, if its wavelength in the material is equal to$\lambda$, is $\frac{h}{n\lambda }$. Value of$n$, is

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 48

Energy from the sun is received on the earth at the rate of $2\mathrm{cal}/{\mathrm{cm}}^2/\min$. If average wavelength of solar light be taken at $5500 \mathrm{\AA }$, then photons received on the face of earth facing the sun in$1$ hour (approx.), is $1.76\times {10}^N$. Value of$N$, is
($1$cal = $4.2 \mathrm{J}$, Radius of earth $=6400 \mathrm{km}$ ).

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Gamma Question Bank for Engineering Physics>Chapter 27 - Dual Nature of Radiation and Matter>Assignment Set-2>Q 49

An electron of mass $m$ when accelerated through a potential difference $V$, has a de Broglie wavelength $\mathrm{\lambda }$. The de Broglie wavelength associated with a proton of mass$M$ accelerated through a potential difference $4 \mathrm{V}$ will be $\frac{\lambda }{n}\sqrt{\frac{m}{M}}$$.$