Home >> Topics >> Dual nature of radiation and matter
Questions Not AttemptedQuestions Attempted
Unattempted Questions
Questions Available: 17
Year: 2022
Topic: Dual nature of radiation and matter
1.
The graph which shows the variation of the de Broglie wavelength (λ) of a particle and its associated momentum (p) is
(1).
(2).
(3).
(4).

Test
Solution
Year: 2025
Topic: Dual nature of radiation and matter
2.
Which of the following options represent the variation of photoelectric current with property of light shown on x-axis?
(1).
B and D
(2).
A only
(3).
A and C
(4).
A and D

Test
Solution
Year: 2025
Topic: Dual nature of radiation and matter
3.
A photon and an electron (mass m) have the same energy E. The ratio (\(\displaystyle \frac{\lambda_\text{photon}}{ \lambda_\text{electron}}\) ) of their de Broglie wavelengths is: (c is the speed of light)
(1).
\(\displaystyle \frac{1}{\text{C}}\sqrt{\frac{\text{E}}{2\text{m}}}\)
(2).
\(\displaystyle \sqrt{\frac{\text{E}}{2\text{m}}}\)
(3).
\(\displaystyle \text{C}\sqrt{2\text{mE}}\)
(4).
\(\displaystyle \text{C}\sqrt{\frac{2\text{m}}{\text{E}}}\)

Test
Solution
Year: 2024
Topic: Dual nature of radiation and matter
4.
The graph which shows the variation of \((1/λ^2)\) and its kineticenergy, E is (where λ is de Broglie wavelength of a free particle):
(1).
(2).
(3).
(4).

Test
Solution
Year: 2024
Topic: Dual nature of radiation and matter
5.
If c is the velocity of light in free space, the correct statements about photon among the following are:
A. The energy of a photon is E = hv.
B. The velocity of a photon is c.
C. The momentum of a photon, p = hv/c.
D. In a photon-electron collision, both total energy and total momentum are conserved.
E. Photon possesses positive charge.
Choose the correct answer from the options given below:
(1).
A and B only
(2).
A, B, C and D only
(3).
A, C and D only
(4).
A, B, D and E only

Test
Solution
Year: 2023
Topic: Dual nature of radiation and matter
6.
The work functions of Caesium (Cs), Potassium (K) and Sodium (Na)are 2.14eV, 2.30eV and 2.75eV respectively. If incident electromagneticradiation has an incident energy of 2.20eV, which of thesephotosensitive surfaces may emit photoelectrons?
(1).
Both Na and K
(2).
K only
(3).
Na only
(4).
Cs only

Test
Solution
Year: 2022
Topic: Dual nature of radiation and matter
7.
When two monochromatic lights of frequency, v and \(\displaystyle \frac{v}{2}\) are incident on a photoelectric metal, their stopping potential becomes \(\displaystyle \frac{V_s}{2}\) and \(\displaystyle V_s\) respectively. The threshold frequency for this metal is
(1).
2 v
(2).
3 v
(3).
\(\displaystyle \frac{2}{3}v\)
(4).
\(\displaystyle \frac{3}{2}v\)

Test
Solution
Year: 2021
Topic: Dual nature of radiation and matter
8.
The number of photons per second on an average emitted by the source of monochromatic light of wavelength 600 nm, when it delivers the power of \(3.3 × 10^{−3}\) watt will be \((h = 6.6 × 10^{−34}J s)\)
(1).
\(10^{18}\)
(2).
\(10^{17}\)
(3).
\(10^{16}\)
(4).
\(10^{15}\)

Test
Solution
Year: 2020
Topic: Dual nature of radiation and matter
9.
An electron is accelerated from rest through a potential difference of V volt. If the de Broglie wavelength of the electron is \(1.227 × 10^2nm\) the potential difference is:
(1).
\(10^2V\)
(2).
\(10^3V\)
(3).
\(10^4V\)
(4).
\(10V\)

Test
Solution
Year: 2020
Topic: Dual nature of radiation and matter
10.
Light of frequency 1.5 times the threshold frequency is incident on a photosensitive material. What will be the photoelectric current if the frequency is halved and intensity is doubled?
(1).
four times
(2).
one-fourth
(3).
zero
(4).
doubled

Test
Solution
Year: 2019
Topic: Dual nature of radiation and matter
11.
An electron is accelerated through a potential difference of 10,000 V.Its de Broglie wavelength is, (nearly) \(\left(m_e= 9 × 10^−31kg\right)\)
(1).
\(12.2\,nm\)
(2).
\(12.2 \times 10^{−13}\,m\)
(3).
\(12.2 \times 10^{−12}\,m\)
(4).
\(12.2 \times 10^{−14}\,m\)

Test
Solution
Year: 2018
Topic: Dual nature of radiation and matter
12.
An electron of mass m with an initial velocity \(\vec{v}\,=v_0\hat{i} \left( v_0\,>\,0 \right)\) enters an electric field \(\vec{E}\,=\,-\vec{E}_0 \hat{i} \left ( E_0 \,=\, constant\, >\, 0 \right )\) at t = 0. If \(λ_0\) is its de-Broglie wavelength initially, then its de-Broglie wavelength at time t is
(1).
\(\displaystyle \frac{λ_0}{\left(1+\frac{eE_0}{mv_0}t\right)}\)
(2).
\(\displaystyle λ_0 \left(1+\frac{eE_0}{mv_0}t \right)\)
(3).
\(λ_0\,t\)
(4).
\(λ_0\)

Test
Solution
Year: 2018
Topic: Dual nature of radiation and matter
13.
When the light of frequency \(2v_0\) (where \(v_0\) is threshold frequency), is incident on a metal plate, the maximum velocity of electrons emitted is \(v_1\) . When the frequency of the incident radiation is increased to \(5v_0\) , the maximum velocity of electrons emitted from the same plate is \(v_2\) . The ratio of \(v_1\) to \(v_2\) is
(1).
1 : 2
(2).
1 : 4
(3).
4 : 1
(4).
2 : 1

Test
Solution
Year: 2017
Topic: Dual nature of radiation and matter
14.
The de-Broglie wavelength of a neutron in thermal equilibrium with heavy water at a temperature T (kelvin) and mass m, is
(1).
\(\displaystyle \frac{h}{\sqrt{3mkT}}\)
(2).
\(\displaystyle \frac{2h}{\sqrt{3mkT}}\)
(3).
\(\displaystyle \frac{2h}{\sqrt{mkT}}\)
(4).
\(\displaystyle \frac{h}{\sqrt{mkT}}\)

Test
Solution
Year: 2017
Topic: Dual nature of radiation and matter
15.
The photoelectric threshold wavelength of silver is \(3250 \times 10^{−10}\,m\). The velocity of the electron ejected from a silver surface by ultraviolet light of wavelength \(2536 \times 10^{−10}\,m\) is
[Given: \(h \,=\, 4.14 \times 10^{−15}\, \text{eVs}\) and \(c \,=\, 3 \times 10^8\,ms^{−1}\)]
(1).
\(\approx 0.6 \times 10^6\,ms^{−1}\)
(2).
\(\approx 61 \times 10^3\,ms^{−1}\)
(3).
\(\approx 0.3 \times 10^6\,ms^{−1}\)
(4).
\(\approx 6 \times 10^5\,ms^{−1}\)

Test
Solution
Year: 2016
Topic: Dual nature of radiation and matter
16.
An electron of mass m and a photon have same energy E. The ratio ofde-Broglie wavelengths associated with them is(c being velocity of light)
(1).
\(\displaystyle c\left(2mE\right)^{1/2}\)
(2).
\(\displaystyle \frac{1}{c}\left(\frac{2m}{E}\right)^{1/2}\)
(3).
\(\displaystyle \frac{1}{c}\left(\frac{E}{2m}\right)^{1/2}\)
(4).
\(\displaystyle \left(\frac{E}{2m}\right)^{1/2}\)

Test
Solution
Year: 2016
Topic: Dual nature of radiation and matter
17.
When a metallic surface is illuminated with radiation of wavelength \(\lambda\), the stopping potential is \(\text{V}\). If the same surface is illuminated with radiation of wavelength \(2\lambda\), the stopping potential is \(\displaystyle \frac{V}{4}\).The threshold wavelength for the metallic surface is
(1).
\(\displaystyle \frac{5}{2}\, \lambda\)
(2).
\(3\, \lambda\)
(3).
\(4\, \lambda\)
(4).
\(5\, \lambda\)

Test
Solution