Tag: quantum physics

Questions Related to quantum physics

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