Dual Nature of Radiation PYQs - Last 10 Years

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Last 10 Years Dual Nature of Radiation Questions

Showing 35 of 185 filtered questions.

1Dual Nature Of Radiation

An electron, a doubly ionized helium ion (He++) and a proton are having the same kinetic energy.
The relation between their respective de-Broglie wavelengths \(\lambda\)e, \(\lambda\)He++ and \(\lambda\)p is :

2Dual Nature Of Radiation

Assuming the nitrogen molecule is moving with r.m.s. velocity at 400 K, the de-Broglie wavelength
of nitrogen molecule is close to :
(Given : nitrogen molecule weight : 4.64 \(\times\) 10–26 kg, Boltzman
constant: 1.38 \(\times\) 10–23...

3Dual Nature Of Radiation

A beam of electrons of energy E scatters from
a target having atomic spacing of 1 \(\mathop A\limits^o\). The first
maximum intensity occurs at \(\theta\) = 60o. Then E (in
eV) is ______.
(Planck constant h = 6.64 × 10–34 Js, 1 eV =
1.6 ×...

INTEGER+4 / -02020

4Dual Nature Of Radiation

The surface of a metal is illuminated alternately
with photons of energies E1 = 4 eV and E2 = 2.5 eV
respectively. The ratio of maximum speeds of the
photoelectrons emitted in the two cases is 2. The
work function of the metal in (eV) is __...

INTEGER+4 / -02020

5Dual Nature Of Radiation

Given figure shows few data points in a phot electric effect experiment for a certain metal. The
minimum energy for ejection of electron from its surface is: (Plancks constant h = 6.62 × 10–34 J.s)

6Dual Nature Of Radiation

Particle A of mass mA = \({m \over 2}\) moving along the x-axis with velocity v0 collides elastically with another particle B at rest having mass mB = \({m \over 3}\). If both particles move along the x-axis after the collision, the change ...

7Dual Nature Of Radiation

In a photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength
obtained is shown in the figure. As the intensity of incident radiation is increased :

8Dual Nature Of Radiation

When the wavelength of radiation falling on a metal is changed from 500 nm to 200 nm, the
maximum kinetic energy of the photoelectrons becomes three times larger. The work function of
the metal is close to :

9Dual Nature Of Radiation

Two sources of light emit X-rays of wavelength 1 nm and visible light of wavelength 500 nm, respectively. Both the sources emit light of the same power 200 W. The ratio of the number density of
photons of X-rays to the number density of pho...

10Dual Nature Of Radiation

When radiation of wavelength \(\lambda\) is used to
illuminate a metallic surface, the stopping
potential is V. When the same surface is
illuminated with radiation of wavelength 3\(\lambda\),
the stopping potential is
\({V \over 4}\). If ...

INTEGER+4 / -02020

11Dual Nature Of Radiation

A particle is moving 5 times as fast as an
electron. The ratio of the de-Broglie wavelength
of the particle to that of the electron is 1.878 \(\times\)
10–4. The mass of the particle is close to

12Dual Nature Of Radiation

Surface of certain metal is first illuminated with light of wavelength \(\lambda\)1 = 350 nm and then, by light of wavelength \(\lambda\)2 = 540 nm. It is found that the maximum speed of the photo electrons in the two cases differ by a fa...

13Dual Nature Of Radiation

The magnetic field associated with a light wave is given, at the origin, by B = B0 [sin(3.14 \(\times\) 107)ct + sin(6.28 \(\times\) 107)ct]. If this light falls on a silver plate having a work function of 4.7 eV, what will be the maxim...

14Dual Nature Of Radiation

The electric field of light wave is given as
\($\overrightarrow E = {10^{ - 3}}\cos \left( {{{2\pi x} \over {5 \times {{10}^{ - 7}}}} - 2\pi \times 6 \times {{10}^{14}}t} \right)\mathop x\limits^ \wedge {{\rm N} \over C}\)$

This
light f...

15Dual Nature Of Radiation

A particle 'P' is formed due to a completely
inelastic collision of particles 'x' and 'y' having
de-Broglie wavelengths '\(\lambda\)x' and '\(\lambda\)y'
respectively. If x and y were moving in opposite
directions, then the de-Broglie wav...

16Dual Nature Of Radiation

Two particles move at right angle to each other.
Their de-Broglie wavelengths are \(\lambda _1\) and \(\lambda _2\)
respectively. The particles suffer perfectly
inelastic collision. The de-Broglie wavelength
\(\lambda _2\) of the final part...

17Dual Nature Of Radiation

A nucleus A, with a finite de-broglie
wavelength \(\lambda\)A, undergoes spontaneous fission
into two nuclei B and C of equal mass. B flies
in the same direction as that of A, while C flies
in the opposite direction with a velocity equal
t...

18Dual Nature Of Radiation

A particle A of mass 'm' and charge 'q' is accelerated by a potential difference of 50 V. Another particle B of mass ' 4 m' and charge 'q' is accelerated by a potential difference of 2500 V. The ratio of de-Broglie wavelengths $${{{\lambda ...

19Dual Nature Of Radiation

In a Frank-Hertz experiment, an electron of energy 5.6 eV passes through mercury vapour and emerges with an energy 0.7 eV. The minimum wavelength of photons emitted by mercury atoms is close to :

20Dual Nature Of Radiation

When a certain photosensitive surface is illuminated with monochromatic light of frequency v, the stopping
potential for the current is –V0/2. When the surface is illuminated by monochromatic light of frequency v/2, the stopping potential i...

21Dual Nature Of Radiation

The stopping potential V0 (in volt) as a function of frequency (\(\upsilon\)) for a sodium emitter, is shown in the figure.
The work function of sodium, from the data plotted in the figure, will be: (Given: Planck’s constant (h) = 6.63 × 1...

22Dual Nature Of Radiation

If the de Broglie wavelength of an electron is equal to the 10–3 times the wavelength of a photon of frequency 6 \(\times\) 1014 Hz, then the speed of electron is equal to : (Speed of light = 3 \(\times\) 108 m/s, Planck's constant =...

23Dual Nature Of Radiation

In a photoelectric experiment, the wavelength of the light incident on a metal is changed from 300 nm to 400 nm. The decrease in the stopping potential is close to: (\({{{hc} \over e}}\) = 1240 nm eV)

24Dual Nature Of Radiation

In an electron microscope, the resolution that can be achieved is of the order of the wavelength of electrons used. To resolve a width of 7.5 × 10–12 m, the minimum electron energy required is close to -

25Dual Nature Of Radiation

A metal plate of area 1 \(\times\) 10–4 m2 is illuminated by a radiation of intensity 16 mW/m2. 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...

26Dual Nature Of Radiation

In a photoelectric effect experiment the
threshold wavelength of the light is 380 nm. If
the wavelentgh of incident light is 260 nm, the
maximum kinetic energy of emitted electrons
will be:
Given E (in eV) = 1237/\(\lambda\) (in nm)

27Dual Nature Of Radiation

A 2 mW laser operates at wavelength of 500 nm. The number of photons that will be emitted per second is :
[Given Planck's constant h = 6.6 × 10–34 Js, speed of light c = 3.0 × 108
m/s]

28Dual Nature Of Radiation

Both the nucleus and the atom of some element arein their respective first excited states. They get de-excted by emitting photons of wavelengths \(\lambda\)N, \(\lambda\)A respectively. The ratio \({{{}^\lambda N} \over {{}^\lambda A}}\)...

29Dual Nature Of Radiation

The de-Broglie wavelength (\(\lambda\)B) associated with the electron orbiting in the second excited state of hydrogen atom is related to that in the ground state (\(\lambda\)G) by :

30Dual Nature Of Radiation

Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength are \({\lambda _1}\) and \({\lambda _2},\) their de Broglie wavelength in the frame of reference attached to their cent...

31Dual Nature Of Radiation

If the de Broglie wavelengths associated with a proton and an \(\alpha\)-particle are equal, then the ratio of velocities of the proton and the \(\alpha\)-particle will be :

32Dual Nature Of Radiation

A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW is used the approximate number of photons in the pulse are :
[Take Planck's constant h \(=\) 6.62 \(\times\) 10\(-\)34 ...

33Dual Nature Of Radiation

The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency n falls on a metal surface. If the incident frequency is increased to 3n, the maximum velocity of the ejected photoelectrons will be :

34Dual Nature Of Radiation

A particle A of mass m and initial velocity v collides with a particle B of mass m/2 which is at rest. The
collision is head on, and elastic. The ratio of the de-Broglie wavelengths \({\lambda _A}\) to \({\lambda _B}\) after the collision i...

35Dual Nature Of Radiation

An electron beam is accelerated by a potential difference V to hit a metallic target to produce X–rays. It
produces continuous as well as characteristic X-rays. If \(\lambda\)min is the smallest possible wavelength of X-ray in the spectrum...