Dual Nature of Radiation PYQs - Last 10 Years

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Last 10 Years Dual Nature of Radiation Questions

Showing 50 of 185 filtered questions.

1Dual Nature Of Radiation

$K_1$ and $K_2$ be the maximum kinetic energies of photoelectrons emitted from a surface of a given material for the light of wavelength $\lambda_1$ and $\lambda_2$, respectively. If $\lambda_1=2 \lambda_2$ then the work function of materia...

2Dual Nature Of Radiation

A monochromatic source of light operating at 15 kW emits $2.5 \times 10^{22}$ photons $/ \mathrm{s}$. The region of an electromagnetic spectrum to which the emitted electromagnetic radiation belongs to $\_\_\_\_$。
(Take $h=6.6 \times 10^{-3...

3Dual Nature Of Radiation

The de Broglie wavelength for an electron accelerated through the potential difference of $V_1$ volt is $\lambda_1$. When the potential difference is changed to $V_2$ volt, the associated de Broglie wavelength is increased by $50 \%$. If $\...

INTEGER+4 / -12026

4Dual Nature Of Radiation

Light source having wavelength 331 nm is used to generate photo-electrons whose stopping potential is 0.2 V . The work function of the used metal in the experiment is $\alpha \times 10^{-19} \mathrm{~J}$. The value of $\alpha$ is $\_\_\_\_$...

5Dual Nature Of Radiation

An electron of mass $m$ is moving in an electric field $\vec{E}=-2 E_{\mathrm{o}} \hat{i}\left(E_{\mathrm{o}}=\right.$ constant $\left.>0\right)$, with an initial velocity $\vec{V}=v_{\mathrm{o}} \hat{i} \left(v_{\mathrm{o}}=\right.$ consta...

6Dual Nature Of Radiation

An electron is travelling with a velocity $v$ in free space and when it enters a medium, its velocity is reduced by $20 \%$. The de Broglie wavelength of electron in the medium is $\alpha \lambda_0$, where $\lambda_0$ is its de Broglie wave...

7Dual Nature Of Radiation

The graph shows variation of stopping potential $V_{\mathrm{o}}$ with the frequency $v$ of the incident radiation for three photosensitive metals $X_1, X_2$ and $X_3$. Which metal will give out electrons with greater kinetic energy, for the...

8Dual Nature Of Radiation

The de Broglie wavelength associated with an electron accelerated through a potential difference V is $\lambda_{\mathrm{e}}$ and the de Broglie wavelength associated with a proton accelerated through the same potential difference is $\lambd...

9Dual Nature Of Radiation

For a certain metal, when monochromatic light of wavelength $\lambda$ is incident, the stopping potential for photoelectrons is $3V_0$. When the same metal is illuminated by light of wavelength $2\lambda$, then the stopping potential become...

10Dual Nature Of Radiation

The ratio of de Broglie wavelength of a deutron with kinetic energy $E$ to that of an alpha particle with kinetic energy $2 E$, is $n: 1$. The value of $n$ is $\_\_\_\_$ .
(Assume mass of proton $=$ mass of neutron) $:$

INTEGER+4 / -12026

11Dual Nature Of Radiation

Number of photons of equal energy emitted per second by a 6 mW laser source operating at 663 nm is ________. (Given : $h = 6.63 \times 10^{-34}$ J.s and $c=3\times10^{8}$ m/s)

12Dual Nature Of Radiation

When a light of a given wavelength falls on a metallic surface the stopping potential for photoelectrons is 3.2 V . If a second light having wavelength twice of first light is used, the stopping potential drops to 0.7 V . The wavelength of ...

13Dual Nature Of Radiation

The de Broglie wavelength of an oxygen molecule at $27^{\circ} \mathrm{C}$ is $x \times 10^{-12} \mathrm{~m}$. The value of $x$ is (take Planck's constant $=6.63 \times 10^{-34} \mathrm{~J} . \mathrm{s}$, Boltzmann constant $=1.38 \times 10...

14Dual Nature Of Radiation

Light is incident on a metallic plate having work function $110 \times 10^{-20} \mathrm{~J}$. If the produced photoelectrons have zero kinetic energy then the angular frequency of the incident light is $\_\_\_\_$ rad/s. $\left(\mathrm{h}=6....

15Dual Nature Of Radiation

A light wave described by $E=60\left[\sin \left(3 \times 10^{15}\right) t+\sin \left(12 \times 10^{15}\right) t\right]$ (in SI units) falls on a metal surface of work function 2.8 eV . The maximum kinetic energy of ejected photoelectron is ...

16Dual Nature Of Radiation

A particle having electric charge $3 \times 10^{-19} \mathrm{C}$ and mass $6 \times 10^{-27} \mathrm{~kg}$ is accelerated by applying an electric potential of 1.21 V . Wavelength of the matter wave associated with the particle is $\alpha \t...

INTEGER+4 / -12026

17Dual Nature Of Radiation

An electron is released from rest near an infinite non-conducting sheet of uniform charge density '$-\sigma$'. The rate of change of de-Broglie wave length associated with the electron varies inversely as nth power of time. The numerical va...

INTEGER+4 / -12025

18Dual Nature Of Radiation

A photoemissive substance is illuminated with a radiation of wavelength $\lambda_i$ so that it releases electrons with de-Broglie wavelength $\lambda_e$. The longest wavelength of radiation that can emit photoelectron is $\lambda_o$. Expres...

19Dual Nature Of Radiation

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason $\mathbf{R}$
Assertion A : In photoelectric effect, on increasing the intensity of incident light the stopping potential increases.
Reason R ...

20Dual Nature Of Radiation

A small mirror of mass $m$ is suspended by a massless thread of length $l$. Then the small angle through which the thread will be deflected when a short pulse of laser of energy E falls normal on the mirror
($\mathrm{c}=$ speed of light in ...

21Dual Nature Of Radiation

The radiation pressure exerted by a 450 W light source on a perfectly reflecting surface placed at 2 m away from it, is

22Dual Nature Of Radiation

The work function of a metal is 3 eV . The color of the visible light that is required to cause emission of photoelectrons is

23Dual Nature Of Radiation

A monochromatic light is incident on a metallic plate having work function $\phi$. An electron, emitted normally to the plate from a point A with maximum kinetic energy, enters a constant magnetic field, perpendicular to the initial velocit...

24Dual Nature Of Radiation

An electron with mass ' m ' with an initial velocity $(\mathrm{t}=0) \overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{i}\left(\mathrm{v}_0>0\right)$ enters a magnetic field $\overrightarrow{\mathrm{B}}=\mathrm{B}_0 \hat{j}$. If the initial de-...

25Dual Nature Of Radiation

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).Assertion (A) : Emission of electrons in photoelectric effect can be suppressed by applying a sufficiently negative electron potential ...

26Dual Nature Of Radiation

If $\lambda$ and $K$ are de Broglie wavelength and kinetic energy, respectively, of a particle with constant mass. The correct graphical representation for the particle will be :

27Dual Nature Of Radiation

In an experiment with photoelectric effect, the stopping potential,

28Dual Nature Of Radiation

A proton of mass ' $m_P$ ' has same energy as that of a photon of wavelength ' $\lambda$ '. If the proton is moving at non-relativistic speed, then ratio of its de Broglie wavelength to the wavelength of photon is.

29Dual Nature Of Radiation

Which of the following phenomena cannot be explained by wave theory of light?

30Dual Nature Of Radiation

An electron of mass ' m ' with an initial velocity $\overrightarrow{\mathrm{v}}=\mathrm{v}_0 \hat{i}\left(\mathrm{v}_0>0\right)$ enters an electric field $\overrightarrow{\mathrm{E}}=-\mathrm{E}_{\mathrm{o}} \hat{\mathrm{k}}$. If the initia...

31Dual Nature Of Radiation

The ratio of the power of a light source $S_1$ to that the light source $S_2$ is $2 . S_1$ is emitting $2 \times 10^{15}$ photons per second at 600 nm . If the wavelength of the source $S_2$ is 300 nm , then the number of photons per second...

INTEGER+4 / -12025

32Dual Nature Of Radiation

In photoelectric effect, the stopping potential $\left(\mathrm{V}_0\right) \mathrm{v} / \mathrm{s}$ frequency $(v)$ curve is plotted.
( h is the Planck's constant and $\phi_0$ is work function of metal )
(A) $\mathrm{V}_0 \mathrm{v} / \math...

33Dual Nature Of Radiation

A sub-atomic particle of mass $10^{-30} \mathrm{~kg}$ is moving with a velocity $2.21 \times 10^6 \mathrm{~m} / \mathrm{s}$. Under the matter wave consideration, the particle will behave closely like $\qquad$ $\left(\mathrm{h}=6.63 \times 1...

34Dual Nature Of Radiation

In photoelectric effect an em-wave is incident on a metal surface and electrons are ejected from the surface. If the work function of the metal is 2.14 eV and stopping potential is 2 V , what is the wavelength of the em-wave?
(Given $\mathr...

35Dual Nature Of Radiation

An electron in the ground state of the hydrogen atom has the orbital radius of $5.3 \times 10^{-11} \mathrm{~m}$ while that for the electron in third excited state is $8.48 \times 10^{-10} \mathrm{~m}$. The ratio of the de Broglie wavelengt...

36Dual Nature Of Radiation

The work functions of cesium (Cs) and lithium (Li) metals are 1.9 eV and 2.5 eV , respectively. If we incident a light of wavelength 550 nm on these two metal surfaces, then photo-electric effect is possible for the case of

37Dual Nature Of Radiation

A light source of wavelength $\lambda$ illuminates a metal surface and electrons are ejected with maximum kinetic energy of 2 eV . If the same surface is illuminated by a light source of wavelength $\frac{\lambda}{2}$, then the maximum kine...

38Dual Nature Of Radiation

A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as :

39Dual Nature Of Radiation

UV light of \(4.13 \mathrm{~eV}\) is incident on a photosensitive metal surface having work function \(3.13 \mathrm{~eV}\). The maximum kinetic energy of ejected photoelectrons will be:

40Dual Nature Of Radiation

A proton and an electron are associated with same de-Broglie wavelength. The ratio of their kinetic energies is:
(Assume h = 6.63 \(\times 10^{-34} \mathrm{~J} \mathrm{~s}, \mathrm{~m}_{\mathrm{e}}=9.0 \times 10^{-31} \mathrm{~kg}\) and $$\...

41Dual Nature Of Radiation

A proton and an electron have the same de Broglie wavelength. If \(\mathrm{K}_{\mathrm{p}}\) and \(\mathrm{K}_{\mathrm{e}}\) be the kinetic energies of proton and electron respectively, then choose the correct relation :

42Dual Nature Of Radiation

Which of the following phenomena does not explain by wave nature of light.
A. reflection
B. diffraction
C. photoelectric effect
D. interference
E. polarization
Choose the most appropriate answer from the options given below:

43Dual Nature Of Radiation

In photoelectric experiment energy of \(2.48 \mathrm{~eV}\) irradiates a photo sensitive material. The stopping potential was measured to be \(0.5 \mathrm{~V}\). Work function of the photo sensitive material is :

44Dual Nature Of Radiation

In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at \(10.2 \mathrm{~V}\). The wavelength of light emitted by hydrogen atom when excited to the first excitation level is ________ nm. (Given hc $...

INTEGER+4 / -12024

45Dual Nature Of Radiation

When UV light of wavelength \(300 \mathrm{~nm}\) is incident on the metal surface having work function \(2.13 \mathrm{~eV}\), electron emission takes place. The stopping potential is :
(Given hc \(=1240 \mathrm{~eV} \mathrm{~nm}\) )

46Dual Nature Of Radiation

Given below are two statements :

Statement I : Figure shows the variation of stopping potential with frequency \((v)\) for the two photosensitive materials \(M_1\) and \(M_2\). The slope gives value of \(\frac{h}{e}\), where \(h\) is Planc...

47Dual Nature Of Radiation

Which of the following statement is not true about stopping potential \((\mathrm{V}_0)\) ?

48Dual Nature Of Radiation

Which figure shows the correct variation of applied potential difference (V) with photoelectric current (I) at two different intensities of light \((\mathrm{I}_1<\mathrm{I}_2)\) of same wavelengths :

49Dual Nature Of Radiation

Given below are two statements: one is labelled as Assertion \(\mathbf{A}\) and the other is labelled as Reason R.
Assertion A: Number of photons increases with increase in frequency of light.
Reason R: Maximum kinetic energy of emitted ele...

50Dual Nature Of Radiation

When a metal surface is illuminated by light of wavelength \(\lambda\), the stopping potential is \(8 \mathrm{~V}\). When the same surface is illuminated by light of wavelength \(3 \lambda\), stopping potential is \(2 \mathrm{~V}\). The thr...