Tag: photons and photoelectric effect

Questions Related to photons and photoelectric effect

An electron of stationary hydrogen atom passes from the fifth energy level to the ground level. The velocity that the atom acquired as a result of photon emission will be

  1. $\dfrac{25m}{24hR}$

  2. $\dfrac{24m}{25hR}$

  3. $\dfrac{24hR}{25m}$

  4. $\dfrac{25hR}{24m}$


Correct Option: C

Violet light is falling on a photosensitive material causing ejection of photoelectrons with maximum kinetic energy of $1$ eV. Red light falling on metal will cause emission of photoelectrons with maximum kinetic energy (approximately) equal to

  1. $1.2$ eV

  2. $0.9$ eV

  3. $0.5$ eV

  4. Zero, that is no photoemision


Correct Option: D

When an electron de-exited back from ${\left( {n + 1} \right)^{th}}$ state to ${n^{th}}$ state in a hydrogen like atoms, wavelength of radiations emitted is ${\lambda _1}\left( {n >  > 1} \right)$. In the same atom de-broglies wavelength associated with an electron in $nth$ state is ${\lambda _2}$. Then $\frac{{{\lambda _1}}}{{{\lambda _2}}}$ is proportional to 

  1. $\frac{1}{n}$

  2. n

  3. ${n^2}$

  4. ${n^3}$


Correct Option: A

Approximately, the temperature corresponding to $1 eV$ translational kinetic energy of molecule is

  1. $7.6 \times 10 ^ { 2 } \mathrm { K }$

  2. $7.7 \times 10 ^ { 3 } \mathrm { K }$

  3. $7.1 \times 10 ^ { - 2 } \mathrm { K }$

  4. $7.2 \times 10 ^ { 3 } \mathrm { K }$


Correct Option: B

The work function of a metal is $3.3\times{  10}^{  -19}J$. The maximum wavelength of the photons required to eject electron from the metal is:

  1. $200nm$

  2. $300nm$

  3. $400nm$

  4. $600nm$


Correct Option: A

A metal plate of area $1\times { 10 }^{ -4 }{ m }^{ 2 }$ is  illuminated by a radiation of intensity 16 m $W/{ m }^{ 2 }.$ The work function of the metal is 5 eV. The energy of the incident photons is 10 eV and only 10% of it produces photo electrons. The number of emitted photo electrons per second and their maximum energy, respectively, will be :
$\left[ { 1eV=1.6\times 10^{ 19 }J } \right] $

  1. ${ 10 }^{ 12 } and\ 5eV$

  2. ${ 10 }^{ 11 } and\ 2.5eV$

  3. ${ 10 }^{ 10 } and\ 5eV$

  4. ${ 10 }^{ 14 } and\ 5eV$


Correct Option: A

The energy of a hydrogen-like atom (or ion ) in its ground state is - 122.4 eV. It may be :

  1. hydrogen atom

  2. $He^{+}$

  3. $Li^{2+}$

  4. $Be^{3+}$


Correct Option: C

When radiations of wavelength 3000 are incident on a photosensitive surface, the kinetic energy of electrons is 2.5 eV. The stopping potential for 1500 will he,

  1. $V _ { s } = 2.5 \mathrm { V }$

  2. $V _ { s } = 5.0 \mathrm { V }$

  3. $2.5 \leq \mathrm { V } _ { \mathrm { s } } \leq 5.0 \mathrm { V }$

  4. $V _ { s } > 5.0 \mathrm { V }$


Correct Option: D

A photon of energy 12.75 eV is completely absorbed by a hydrogen atom initially in the ground state. The quantum number of the excited state is:

  1. $2$

  2. $3$

  3. $4$

  4. $5$


Correct Option: C

If an $\alpha$-particle is accelerated with the potential V, the energy of $\alpha$-particle will be 

  1. 1 eV

  2. 2 eV

  3. 3 eV

  4. 4 eV


Correct Option: B