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12th Physics Monthly Test - 1 ( Dual Nature of Radiation and Matter )

St. Britto Hr. Sec. School - Madurai

12th Physics Monthly Test - 1 ( Dual Nature of Radiation and Matter )-Aug 2020

Time : 2.30 Hours

Part - A

Multiple Choice Question - Answer All Question

When a metallic surface is illuminated with radiation of wavelength \({ \lambda }\), the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2\({ \lambda }\), the stopping potential is \(\frac { V }{ 4 } \) . The threshold wavelength for the metallic surface is

4\({ \lambda }\)
5\({ \lambda }\)
\(\frac { 5 }{ 2 } \)\({ \lambda }\)
3\({ \lambda }\)

Two radiations with photon energies 0.9 e V and 3.3 e V respectively are falling on a metallic surface successively. If the work function of the metal is 0.6 e V, then the ratio of maximum speeds of emitted electrons will be

1:4
1:3
1:1
1:9

The threshold wavelength for a metal surface whose photoelectric work function is 3.313 eV is

4125 \(\mathring { A } \)
3750 \(\mathring { A } \)
6000 \(\mathring { A } \)
2062.5 \(\mathring { A } \)

A light of wavelength 500 nm is incident on a sensitive plate of photoelectric work function 1.235 eV. The kinetic energy of the photo electrons emitted is be (Take h = 6.6 x 10^-34 Js)

0.58 eV
2.48 eV
1.24 eV
1.16 eV

If a light of wavelength 330 nm is Incident on a metal with work function 3.55 eV, the electrons are emitted. Then the wavelength of the emitted electron is (Take h = 6.6 x 10^-34 Js)

< 2.75 x 10^-9m
\(\ge \) 2.75x10^-9m
\(\ge \)2.75x10^-12m
< 2.5 x 10^-10m

The wavelength \({ \lambda }_{ e }\) of an electron and \({ \lambda }_{ p }\) of a photon of same energy E are related by

\({ \lambda }_{ p }\propto { \lambda }_{ e }\)
\({ \lambda }_{ p }\propto \sqrt { { \lambda }_{ e } } \)
\({ \lambda }_{ p }\propto \frac { 1 }{ \sqrt { { \lambda }_{ e } } } \)
\({ \lambda }_{ p }\propto { { \lambda } }_{ e }^{ 2 }\)

A light source of wavelength 520 nm emits 1.04 x 10¹⁵ photons per second while the second source of 460 nm produces 1.38 x 10¹⁵ photons per second. Then the ratio of power of second source to that of first source is

1.00
1.02
1.5
0.98

A photoelectric surface is illuminated successively by monochromatic light of wavelength \(\lambda \) and \(\frac { \lambda }{ 2 } \)If the maximum kinetic energy of the emitted photoelectrons in the second case is 3 times that in the first case, the work function at the surface of material is

\(\frac { hc }{ \lambda } \)
\(\frac { 2hc }{ \lambda } \)
\(\frac { hc }{ 3\lambda } \)
\(\frac { hc }{ 2\lambda } \)

A particle of mass 3 x 10^-6 g has the same wavelength as an electron moving with a velocity 6 x 10⁶ms^-1. The velocity of the particle is

1.82 x 10^-18 ms^-1
9 x 10^-2 ms^-1
3 X 10^-31 ms^-1
1.82 x 10^-15 ms^-1

Photons of wavelength \(\lambda \) are incident on a metal. The most energetic electrons ejected from the metal are bent into a circular arc of radius R by a perpendicular magnetic field having magnitude B. The work function of the metal is

\(\frac { hc }{ \lambda } -{ m }_{ e }+\frac { { e }^{ 2 }{ B }^{ 2 }{ R }^{ 2 } }{ { 2m }_{ e } } \)
\(\frac { hc }{ \lambda } +{ 2m }_{ e }\left[ \frac { eBR }{ { 2m }_{ e } } \right] ^{ 2 }\)
\(\frac { hc }{ \lambda } -{ m }_{ e }{ c }^{ 2 }\frac { { e }^{ 2 }{ B }^{ 2 }{ R }^{ 2 } }{ { 2m }_{ e } } \)
\(\frac { hc }{ \lambda } -{ 2m }_{ e }\left[ \frac { eBR }{ { 2m }_{ e } } \right] ^{ 2 }\)

Part - B

Generic 2 - Answer All Question

Define work function of a metal. Give its unit.

What is a photo cell? Mention the different types of photocells.

An electron and an alpha particle have same kinetic energy. How are the de Broglie wavelengths associated with them related?

Name an experiment which shows wave nature of the electron. Which phenomenon was observed in this experiment using an electron beam?

Give the definition of intensity of light and its unit.

State de Broglie hypothesis.

Write the expression for the de Broglie wavelength associated with a charged particle of charge q and mass m, when it is accelerated through a potential V.

A proton and an electron have same kinetic energy. Which one has greater de Broglie wavelength. Justify.

How does photocurrent vary with the intensity of the incident light?

What is photoelectric effect?

Part - C

Generic 5 - Answer All Question

Explain experimentally observed facts of photoelectric effect with the help of Einstein's explanation.

Explain the effect of potential difference on photoelectric current.

The ratio between the de Broglie wavelengths associated with protons, accelerated through a potential of 512 V and that of alpha particles accelerated through a potential of X volts is found to be one. Find the value of X.

When a 6000 \(\mathring { A } \) light falls on the cathode of a photo cell and produced photoemission. If a stopping potential of 0.8 v is required to stop emission of electron, then determine the (i) frequency of the light (ii) energy of the incident photon (iii) work function of the cathode material (iv) threshold frequency and
(v) net energy of the electron after it leaves the surface.

Obtain Einstein's photoelectric equation with necessary explanation.

How many photons per second emanate from a 50 m W laser of 640 nm?

At the given point of time, the earth receives energy from sun at 4 cal cm^-2 min^-1 Determine the number of photons received on the surface of the Earth per cm² per minute. (Given : Mean
wavelength of sun light = 5500 \(\mathring { A } \))

When a light of frequency 9 x10¹⁴ Hz .is incident on a metal surface, photoelectrons are emitted with a maximum speed of 8 x 10⁵ms^-1. Determine the threshold frequency of the surface.

A deuteron and an alpha particle are, accelerated with the same potential. Which one of the two has i) greater value of de Broglie wavelength associated with it and ii) less kinetic energy? Explain

Explain how frequency of incident light varies with stopping potential.

Derive an expression for de Broglie wavelength of electrons.

Describe briefly Davisson Germer experiment which demonstrated the wave nature of electrons.

How many photons of frequency 10¹⁴ Hz will make up 19.86 J of energy?
Explain why photoelectric effect cannot be explained on the basis of wave nature of light.

An electron is accelerated through a potential difference of 81V. What is the de Broglie wavelength associated with it? To which part of electromagnetic spectrum does this wavelength correspond?
Give the construction and working of photo emissive cell.

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