Q 1 :

Given below are two statements: one is labelled as Assertion (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 electrons increases with the frequency of incident radiation.

In the light of the above statements, choose the most appropriate answer from the options given below:                   [2024]

  • Both A and R are correct and R is not the correct explanation of A.

     

  • Both A and R are correct and R is the correct explanation of A.

     

  • A is correct, but R is not correct.

     

  • A is not correct, but R is correct.

     

(4)          

            Intensity of light  I=nhνA, Here v is no. of photons per unit time.

       n=IAhν, so on increasing frequency v, n decreases taking intensity constant. Number of photons remains unchanged with increase in frequency.

              kmax=hν-ϕ

              So on increasing v, kinetic energy increases.

 



Q 2 :

Which of the following statement is not true about stopping potential (V0) ?                  [2024]

  • It depends upon frequency of the incident light.

     

  • It increases with increase in intensity of the incident light.

     

  • It is 1/e times the maximum kinetic energy of electrons emitted.

     

  • It depends on the nature of emitter material.

     

(2)       

 KEmax=hν-ϕ0=eV

 



Q 3 :

In photoelectric experiment energy of 2.48 eV irradiates a photo sensitive material. The stopping potential was measured to be 0.5 V. Work function of the photo sensitive material is :                  [2024]

  • 2.48 eV

     

  • 0.5 eV

     

  • 1.98 eV

     

  • 1.68 eV

     

(3)         

               eVs=hν-ϕ

                0.5eV=2.48eV-ϕ

                Work function, ϕ=(2.48-0.5)eV=1.98eV

 



Q 4 :

When UV light of wavelength 300 nm is incident on the metal surface having work function 2.13 eV, electron emission takes place. The stopping potential is     [2024]

  • 4.1 V

     

  • 2 V

     

  • 4 V

     

  • 1.5 V

     

(2)       

            Energy incident on the metal surface,

            E=hcλ=1240300eVE=4.13eV

            Work function, ϕ=2.13eV

            E=ϕ+eVs=4.13eV-2.13eV=2eVsVs=2V

 



Q 5 :

UV light of 4.13 eV is incident on a photosensitive metal surface having work function 3.13 eV. The maximum kinetic energy of ejected photoelectrons will be      [2024]

  • 4.13 eV

     

  • 1 eV

     

  • 3.13 eV

     

  • 7.26 eV

     

(2)           

               As we know that

                (K.E.)max=Ephoton- work function =hν-ϕ 

                 (K.E.)max=4.13eV-3.13eV

                Max K.E.=1eV

 



Q 6 :

A convex lens of focal length 40 cm forms an image of an extended source of light on a photoelectric cell. A current I is produced. The lens is replaced by another convex lens having the same diameter but focal length 20 cm. The photoelectric current now is         [2024]

  • I2

     

  • 4I

     

  • 2I

     

  • I

     

(4)         

As amount of energy incident on cell is same so current will remain same.

 



Q 7 :

The threshold frequency of a metal with work function 6.63eV is              [2024]

  • 16×1015Hz

     

  • 16×1012Hz

     

  • 1.6×1012Hz

     

  • 1.6×1015Hz

     

(4)       

               ϕ0=hν0

                6.63×1.6×10-19=6.63×10-34ν0

                ν0=1.6×10-1910-34

                ν0=1.6×1015Hz

 



Q 8 :

The work function of a substance is 3.0 eV. The longest wavelength of light that can cause the emission of photoelectrons from this substance is approximately           [2024]

  • 215 nm

     

  • 414 nm

     

  • 400 nm

     

  • 200 nm

     

(2)        

            For photoelectric effect: λhcWe

             λ1240nm-eV3eV

             λ413.33nm

              λmax414nm



Q 9 :

When a metal surface is illuminated by light of wavelength λ, the stopping potential is 8V. When the same surface is illuminated by light of wavelength 3λ, stopping potential is 2V. The threshold wavelength for this surface is               [2024]

  • 9λ

     

  • 3λ

     

  • 4.5λ

     

  • 5λ

     

(1)         

                E=ϕ+Kmax

                 ϕ=hcλ0

                 Kmax=eV0

                 8e=hcλ-hcλ0                     ...(i)

                 2e=hc3λ-hcλ0                     ...(ii)

               On solving (i) and (ii)  λ0=9λ



Q 10 :

In a photoelectric effect experiment a light of frequency 1.5 times the threshold frequency is made to fall on the surface of photosensitive material. Now if the frequency is halved and intensity is doubled, the number of photo electrons emitted will be           [2024]

  • Doubled

     

  • Quadrupled

     

  • Zero

     

  • Halved

     

(3)         

             Since f2<f0

              i.e. the incident frequency is less than threshold frequency. Hence there will be no emission of photoelectrons.

              current = 0

 



Q 11 :

Which figure shows the correct variation of applied potential difference (V) with photoelectric current (i) at two different intensities of light (I1<I2) of same wavelengths?  [2024]

 

 

  •  

  •  

  •  

  •  

(1)

Saturation current depends on intensity of incident light.
Also, according to question, both have same wavelength.
Hence stopping potential will remain same, it means KEmax will be same.
Since I2>I1, hence saturation current corresponding to I2 will be greater than that corresponding to I1.

 



Q 12 :

Given below are two statements:

Statement I: Figure shows the variation of stopping potential with frequency (ν) for the two photosensitive materials M1and M2. The slope gives value of he, where h is Planck’s constant, e is the charge of an electron.

Statement II: M2 will emit photoelectrons of greater kinetic energy for the incident radiation having the same frequency.

In the light of the above statements, choose the most appropriate answer from the options given below.                 [2024]

  • Statement I is incorrect but Statement II is correct

     

  • Both Statement I and Statement II are incorrect

     

  • Both Statement I and Statement II are correct

     

  • Statement I is correct and Statement II is incorrect

     

(4)

eVs=hν+ϕ  Vs=heν+ϕe

slope = he

Work function of M2 is higher than M1 so kinetic energy of emitted electron is less for M2



Q 13 :

For the photoelectric effect, the maximum kinetic energy (Ek) of the photoelectrons is plotted against the frequency (v) of the incident photons as shown in the figure. The slope of the graph gives             [2024]

  • Ratio of Planck’s constant to electric charge

     

  • Work function of the metal

     

  • Charge of electron

     

  • Planck’s constant

     

(4)

We know that

E=K.E.+ϕ0

hν=K.E.+ϕ0

K.E=hν-ϕ0

Slope of kinetic energy versus frequency curve will be equal to slope h.



Q 14 :

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         [2025]

  • Li only

     

  • Cs only

     

  • Neither Cs nor Li

     

  • Both Cs and Li

     

(2)

E (energy of incident photon) =1240550=2.25 eV

E>ϕCs, E<ϕLi

  Only cesium will show photoelectric effect.



Q 15 :

A light source of wavelength λ 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 λ2, then the maximum kinetic energy of ejected electrons will be (The work function of metal is 1 eV)          [2025]

  • 2 eV

     

  • 6 eV

     

  • 5 eV

     

  • 3 eV

     

(3)

Einstein's photoelectric equation

KE=hcλϕ0

2 eV=hcλ1 eV

hcλ=3 eV

KE=hc(λ/2)ϕ0=6 eV1 eV=5 eV



Q 16 :

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 hc = 1242 eVm where h is the Planck's constant and c is the speed of light in vacuum.)         [2025]

  • 400 nm

     

  • 600 nm

     

  • 200 nm

     

  • 300 nm

     

(4)

Using photoelectric equation eVs=E

2 eV = E – 2.14 eV  E = 4.14 eV

E=hcλ  λ=12424.14=300 nm



Q 17 :

In photoelectric effect, the stopping potential (V0) v/s frequency (v) curve is plotted.

(h is the Planck's constant and ϕ0 is work function of metal)

(A) V0 v/s v is linear

(B) The slope of V0 v/s v curve = ϕ0h

(C) h constant is related to the slope of V0 v/s v line

(D) The value of electric charge of electron is not required to determine h using the V0 v/s v curve.

(E) The work function can be estimated without knowing the value of h.

Choose the correct answer from the options given below:          [2025]

  • (A), (B) and (C) only

     

  • (C) and (D) only

     

  • (A), (C) and (E) only

     

  • (D) and (E) only

     

(3)

hv=ϕ+KEmax

KEmax=eV0

 V0=(he)vϕ0e

So slope is constant =he

and intercept is ve(ϕe)

 Option (A) is correct, Option (B) is wrong.

 Option (C) is correct, option (D) is wrong.

 Option (E) is correct.

(A), (C) and (E) are correct. 



Q 18 :

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 to the photoemissive substance.

Reason (R) : A negative electric potential, which stops the emission of electrons from the surface of a photoemissive substance, varies linearly with frequency of incident radiation. 

In the light of the above statements, choose the most appropriate answer from the options given below:          [2025]

  • (A) is false but (R) is true.

     

  • (A) is true but (R) is false.

     

  • Both (A) and (R) are true and (R) is the correct explanation of (A).

     

  • Both (A) and (R) are true but (R) is Not the correct explanation of (A).

     

(4)

Negative potential will slow the electrons and if it is sufficient, it will make the photocurrent zero.



Q 19 :

In an experiment with photoelectric effect, the stopping potential.          [2025]

  • increases with increase in the wavelength of the incident light.

     

  • increases with increase in the intensity of the incident light.

     

  • is (1e) times the maximum kinetic energy of the emitted photoelectrons.

     

  • decreases with increase in the intensity of the incident light.

     

(3)

From Einstein photoelectric equation

hcλ=ϕ+eVS

Maximum K.E. =(K)max=eVS

So, VS=(K)maxe



Q 20 :

A monochromatic light is incident on a metallic plate having work function ϕ. An electron, emitted normally to the plate from a point A with maximum kinetic energy, enterss a constant magnetic field, perpendicular to the initial velocity of electron. The electron passes through a curve and hits back the plate at a point B. The distance between A and B is

(Given: The magnitude of charge of an electron is e and mass is m, h is Planck's constant and c is velocity of light. Take the magnetic field exists throughout the path of electron)         [2025]

  • 2m(hcλϕ)/eB

     

  • m(hcλϕ)/eB

     

  • 8m(hcλϕ)/eB

     

  • 2m(hcλϕ)/eB

     

(3)

KEmax=hcλϕ

p=2mKmax

p=2m(hcλϕ)

dAB=2R=2[pqB]

dAB=22m(hcλϕ)eB=8m(hcλϕ)eB



Q 21 :

The work function of metal is 3 eV. The colour of the visible light that is required to cause emission of photoelectrons is          [2025]

  • Green

     

  • Blue

     

  • Red

     

  • Yellow

     

(2)

For emission : hcλ>ϕ

λ<hcϕ  λ<12423nm



Q 22 :

Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R)

Assertion (A) : In photoelectric effect, on increasing the intensity of incident light the stopping potential increases.

Reason (R) : Increase in intensity of light increases the rate of photoelectrons emitted, provided the frequency of incident light is greater than threshold frequency.

In the light of the above statements, choose the correct answer from the options given below:          {2025]

  • Both (A) and (R) are true but (R) is NOT the correct explanation of (A).

     

  • (A) is false but (R) is true.

     

  • (A) is true but (R) is false.

     

  • Both (A) and (R) are true and (R) is the correct explanation of (A).

     

(2)

Stopping potential, VS=hvϕe so stopping potential doesn't depend on intensity, stopping potential depends on frequency.

Intensity  number of photons.

On increasing intensity, no. of photons per sec increases and so the no. of electrons.



Q 23 :

From the photoelectric effect experiment, following observations are made. Identify “which of these are correct.”                 [2023]

A. The stopping potential depends only on the work function of the metal.
B. The saturation current increases as the intensity of incident light increases.
C. The maximum kinetic energy of a photoelectron depends on the intensity of the incident light.
D. Photoelectric effect can be explained using wave theory of light.

Choose the correct answer from the options given below:

  • A, B, D only

     

  • B only

     

  • A, C, D only

     

  • B, C only

     

(2)

(A) Stopping potential depends on both frequency of light and work function.

(B) Saturation current intensity of light

(C) Maximum KE depends on frequency

(D) Photoelectric effect is explained using particle theory.

 



Q 24 :

Given below are two statements:                                  [2023]

Statement I: Stopping potential in photoelectric effect does not depend on the power of the light source.

Statement II: For a given metal, the maximum kinetic energy of the photoelectron depends on the wavelength of the incident light.

In the light of above statements, choose the most appropriate answer from the options given below.

  • Both Statement I and Statement II are incorrect

     

  • Statement I is correct but statement II is incorrect

     

  • Both statement I and statement II are correct

     

  • Statement I is incorrect but statement II is correct

     

(3)

Stopping potential  Vs=KEmaxe

Vs=hCλ-ϕe

Stopping potential does not depend on intensity or power of light used; it only depends on the frequency or wavelength of the incident light.

So both statements I and II are correct.



Q 25 :

The threshold wavelength for photoelectric emission from a material is 5500 Å. Photoelectrons will be emitted, when this material is illuminated with monochromatic radiation from a ______                         [2023]

A. 75 W infra-red lamp
B. 10 W infra-red lamp
C. 75 W ultra-violet lamp
D. 10 W ultra-violet lamp

Choose the correct answer from the options given below:

  • B and C only

     

  • A and D only

     

  • C only

     

  • C and D only

     

(4)

λ<5500Å for photoelectric emission

λuv<5500Å



Q 26 :

If the two metals A and B are exposed to radiation of wavelength 350 nm. The work functions of metals A and B are 4.8 eV and 2.2 eV. Then choose the correct option.    [2023]

  • Metal B will not emit photo-electrons

     

  • Both metals A and B will emit photo-electrons

     

  • Both metals A and B will not emit photo-electrons

     

  • Metal A will not emit photo-electrons

     

(4)

ϕ=hcλ=1240350eV=3.54 eV

 Only metal B will emit photoelectron.



Q 27 :

The threshold frequency of metal is f0. When the light of frequency 2f0 is incident on the metal plate, the maximum velocity of photoelectron is v1. When the frequency of incident radiation is increased to 5f0, the maximum velocity of photoelectrons emitted is v2. The ratio of v1 to v2 is                   [2023]

  • v1v2=12

     

  • v1v2=18

     

  • v1v2=116

     

  • v1v2=14

     

(1)

Kmax=hf-hf0

For f=2f0

12mv12=2hf0-hf0=hf0    (i)

For f=5f0

12mv22=5hf0-hf0=4hf0    (ii)

From (i) and (ii),

v1v2=12



Q 28 :

The work functions of Aluminium and Gold are 4.1 eV and 5.1 eV respectively. The ratio of the slope of the stopping potential versus frequency plot for Gold to that of Aluminium is                     [2023]

  • 1.24

     

  • 2

     

  • 1

     

  • 1.5

     

(3)

eVs=kmax

Vs={he}f+{-ϕe}

Slope is independent of nature of metal

slope(Vs)Gold=slope(Vs)Aluminium



Q 29 :

In photoelectric effect                                            [2023]

A. The photocurrent is proportional to the intensity of the incident radiation.

B. Maximum kinetic energy with which photoelectrons are emitted depends on the intensity of incident light.

C. Max. K.E. with which photoelectrons are emitted depends on the frequency of incident light.

D. The emission of photoelectrons require a minimum threshold intensity of incident radiation.

E. Max. K.E. of the photoelectrons is independent of the frequency of the incident light.

Choose the correct answer from the options given below:

  • A and E only

     

  • A and C only

     

  • A and B only

     

  • B and C only

     

(2)

Intensity of lightnumber of photonsno. of photoelectronsphotocurrent

So, A is correct

KEmax=hν-ϕ

KEmax depends on frequency

So, C is correct

So, A and C are correct



Q 30 :

The variation of stopping potential (V0) as a function of the frequency (ν) of the incident light for a metal is shown in figure. The work function of the surface is        [2023]

  • 18.6 eV

     

  • 2.98 eV

     

  • 2.07 eV

     

  • 1.36 eV

     

(3)

eV0=hν-ϕ

0=hν-ϕ

ϕ=hν=6.6×10-34×5×1014=33×10-20 J

ϕ=33×10-201.6×10-19=2.07 eV