CUET UG Physics Booster Test 3-Electron Emission and Photoelectric Observations
📌 Answers are locked once submitted — results and explanations appear at the end.
QUESTION 1 OF 20
If an electron in a metal requires exactly 3.428 × 10⁻¹⁹ J to overcome the attractive pull and escape the surface, what is the work function of this metal in electron volts (eV)? (1 eV = 1.602 × 10⁻¹⁹ J)
QUESTION 2 OF 20
Match List I (Parameters) with List II (Influence on Work Function φ₀)
| List I | List II (Correct Match) |
|---|---|
| (1) Nature of the surface | (a) Strongly determines φ₀ alongside the metal properties |
| (2) Magnetic field of the surrounding air | (b) Has no effect on the inherent φ₀ |
| (3) Properties of the metal | (c) Strongly determines φ₀ alongside the surface nature |
| (4) Frequency of incident visible light | (d) Irrelevant to defining the material's threshold φ₀ |
QUESTION 3 OF 20
The kinetic energy K gained by an electron accelerated from rest through a potential V can be expressed mathematically as the product of its charge and potential. If e is the elementary charge, K is:
QUESTION 4 OF 20
The conversion factor between Joules and electron volts highlights the scale of atomic physics. Which statement correctly interprets this relationship based on the text?
QUESTION 5 OF 20
Statements regarding thermionic emission
1. It provides energy to electrons by suitably heating the metal.
2. The supplied energy allows electrons to come out of the metal.
3. It relies on high-frequency light rather than thermal heat.
4. It imparts thermal energy to the free electrons.
QUESTION 6 OF 20
Correct statements about the mechanics of thermionic emission
1. Suitably heating imparts thermal energy to free electrons.
2. The attractive forces of the ions must be overcome by this thermal energy.
3. It requires an electric field of the order of 10⁸ V m⁻¹.
4. It is one of the physical processes to supply the minimum escape energy.
QUESTION 7 OF 20
Field emission is physically able to extract electrons out of a metal because
QUESTION 8 OF 20
Incorrect statement about the application of electric field emission
QUESTION 9 OF 20
In the photoelectric effect, electrons near the surface absorb enough energy from the ________ to overcome the ________ of the positive ions.
QUESTION 10 OF 20
The fundamental identity of a photoelectron
QUESTION 11 OF 20
Hertz's 1887 observations linked electromagnetic wave generation with photoelectric emission. What was the critical detail of his observation?
QUESTION 12 OF 20
Statements concerning the impact of ultraviolet light in Hertz's setup
1. Ultraviolet light was sourced from an arc lamp.
2. It illuminated the detector loop directly.
3. It illuminated the emitter plate.
4. It caused the spark discharge across the detector loop to be enhanced.
QUESTION 13 OF 20
Correct statements derived from Hallwachs' zinc plate experiments
1. A negatively charged zinc plate lost its charge under UV irradiation.
2. The loss of charge logically indicated the emission of negative particles.
3. Positive charge on a positively charged zinc plate was further enhanced.
4. UV light had absolutely no effect on an uncharged zinc plate.
QUESTION 14 OF 20
Incorrect statement regarding Hallwachs' observations of the positively charged zinc plate
QUESTION 15 OF 20
In Lenard's setup, the potential difference between the positive collector plate A and emitter plate C is V. If an electron travels from C to A, the work done by the electric field on the electron is:
QUESTION 16 OF 20
Match the action in Lenard's experiment (List I) with its consequence on current flow (List II).
| List I | List II |
|---|---|
| (1) UV radiations fall on the emitter plate | (a) Results in current flow in the external circuit |
| (2) UV radiations are abruptly stopped | (b) Electrons are ejected from the emitter plate C |
| (3) Electrons are attracted towards the positive collector A | (c) Current flow in the circuit immediately stops |
| (4) Electrons flow through the evacuated tube | (d) The flow across the gap results in the circuit current |
QUESTION 17 OF 20
The ________ frequency is a sharp boundary; if the incident light frequency is below it, photoelectric emission is absolutely ________.
QUESTION 18 OF 20
The observation that the threshold frequency strictly depends on the nature of the material of the emitter plate implies that
QUESTION 19 OF 20
Based on their photoelectric sensitivity profiles, what primarily differentiates alkali metals (like Li, Na, K) from other metals (like Zn, Cd)?
QUESTION 20 OF 20
If visible light has a lower frequency than ultraviolet light, and sodium emits electrons under visible light while zinc requires UV light, which metal must have a higher threshold frequency?
Test Complete!
Answer Review
1 If an electron in a metal requires exactly 3.428 × 10⁻¹⁹ J to overcome the attractive pull and escape the surface, what is the work function of this metal in electron volts (eV)? (1 eV = 1.602 × 10⁻¹⁹ J)
�� Work function can be expressed in eV. �� Convert Joules into eV using the given conversion factor. �� Divide energy in Joules by 1.602 × 10⁻¹⁹.
- Given: Work function = 3.428 × 10⁻¹⁹ J 1 eV = 1.602 × 10⁻¹⁹ J → Therefore, Work function = (3.428 × 10⁻¹⁹)/(1.602 × 10⁻¹⁹) = 2.14 eV → Hence Option B is correct.
- �� Option A → Smaller than the calculated value.
- �� Option C → Incorrect conversion.
- �� Option D → Much larger than the actual value.
Used
- Substitution
Application:
- Substitute the given conversion factor and calculate.
Final Logic:
- 3.428 × 10⁻¹⁹ J corresponds to 2.14 eV.
J → eV ⇒ Divide by 1.602 × 10⁻¹⁹
2 Match List I (Parameters) with List II (Influence on Work Function φ₀)
| List I | List II (Correct Match) |
|---|---|
| (1) Nature of the surface | (a) Strongly determines φ₀ alongside the metal properties |
| (2) Magnetic field of the surrounding air | (b) Has no effect on the inherent φ₀ |
| (3) Properties of the metal | (c) Strongly determines φ₀ alongside the surface nature |
| (4) Frequency of incident visible light | (d) Irrelevant to defining the material's threshold φ₀ |
�� Work function depends on metal and surface. �� Magnetic field does not determine work function. �� Light frequency does not define the inherent work function.
The correct matching is: → (1) Nature of the surface → (a) Strongly determines φ₀ alongside the metal properties → (2) Magnetic field of the surrounding air → (b) Has no effect on the inherent φ₀ → (3) Properties of the metal → (c) Strongly determines φ₀ alongside the surface nature → (4) Frequency of incident visible light → (d) Irrelevant to defining the material's threshold φ₀ → Work function is an intrinsic property that depends mainly on the metal and surface condition.
- �� Option A → Incorrectly assigns magnetic field effects.
- �� Option B → Incorrectly interchanges surface nature and metal properties.
- �� Option D → Incorrectly assigns dependence on incident light frequency.
Used
- Option Grouping
Application:
- Match each factor with its actual influence on work function.
Final Logic:
- Only Option A correctly associates all parameters.
Metal + Surface = Work Function
3 The kinetic energy K gained by an electron accelerated from rest through a potential V can be expressed mathematically as the product of its charge and potential. If e is the elementary charge, K is:
�� Energy gained equals charge × potential difference. �� Electron charge is e. �� Therefore K = eV.
- When a charge moves through a potential difference V, the electrical energy gained is: K = qV → For an electron, K = eV → Hence Option B is correct.
- �� Option A → Incorrect relationship.
- �� Option C → Not an energy expression.
- �� Option D → Contains an extra factor of e.
Used
- Dimensional/Unit Analysis
Application:
- Apply the basic formula K = qV.
Final Logic:
- The kinetic energy gained by an electron is eV.
Energy = Charge × Voltage
4 The conversion factor between Joules and electron volts highlights the scale of atomic physics. Which statement correctly interprets this relationship based on the text?
�� eV is a unit of energy. �� 1 eV = 1.602 × 10⁻¹⁹ J. �� Widely used in atomic and nuclear physics.
- One electron volt is the energy gained by an electron accelerated through a potential difference of one volt. → Numerically, 1 eV = 1.602 × 10⁻¹⁹ J → Therefore Option C correctly interprets the physical meaning of the conversion.
- �� Option A → The conversion is reversed.
- �� Option B → Joule is much larger, not smaller.
- �� Option D → eV is a unit of energy, not power.
Used
- Contextual/Tonal Matching
Application:
- Identify the statement matching the standard definition of eV.
Final Logic:
- Option C accurately defines electron volt and its significance.
1 Electron × 1 Volt = 1 eV
5 Statements regarding thermionic emission
1. It provides energy to electrons by suitably heating the metal.
2. The supplied energy allows electrons to come out of the metal.
3. It relies on high-frequency light rather than thermal heat.
4. It imparts thermal energy to the free electrons.
�� Thermionic emission is heat based. �� Heating supplies thermal energy. �� High-frequency light is not involved.
- Statement 1 is correct because the metal is suitably heated. → Statement 2 is correct because the supplied thermal energy allows electrons to escape. → Statement 3 is incorrect because high-frequency light is associated with photoelectric emission. → Statement 4 is correct because thermal energy is imparted to free electrons. → Therefore Option D is correct.
- �� Option A → Includes incorrect statement 3.
- �� Option B → Includes incorrect statement 3.
- �� Option C → Includes incorrect statement 3.
Used
- Option Grouping
Application:
- Check each statement using the definition of thermionic emission.
Final Logic:
- Only statements 1, 2 and 4 are correct.
Thermionic = Thermal Energy
6 Correct statements about the mechanics of thermionic emission
1. Suitably heating imparts thermal energy to free electrons.
2. The attractive forces of the ions must be overcome by this thermal energy.
3. It requires an electric field of the order of 10⁸ V m⁻¹.
4. It is one of the physical processes to supply the minimum escape energy.
�� Heating gives energy to electrons. �� Electrons overcome ionic attraction. �� Strong electric fields belong to field emission.
- Statement 1 is correct because heating supplies thermal energy. → Statement 2 is correct because electrons must overcome the attractive force of ions. → Statement 3 is incorrect because 10⁸ V m⁻¹ is associated with field emission. → Statement 4 is correct because thermionic emission is one method of supplying escape energy. → Therefore Option A is correct.
- �� Option B → Includes incorrect statement 3.
- �� Option C → Includes incorrect statement 3.
- �� Option D → Includes incorrect statement 3.
Used
- Option Grouping
Application:
- Separate thermionic emission concepts from field emission concepts.
Final Logic:
- Only statements 1, 2 and 4 are correct.
Heat Beats Ion Attraction
7 Field emission is physically able to extract electrons out of a metal because
�� Strong electric fields extract electrons. �� Typical field strength is about 10⁸ V m⁻¹. �� Heating is not the primary mechanism.
- In field emission, an extremely strong electric field acts on electrons near the surface. → The field pulls electrons out of the metal. → Typical field strength is of the order of 10⁸ V m⁻¹. → Therefore Option B is correct.
- �� Option A → Magnetic fields do not produce field emission.
- �� Option C → Describes thermionic emission.
- �� Option D → The work function does not become exactly zero.
Used
- Elimination
Application:
- Identify the mechanism unique to field emission.
Final Logic:
- Electron extraction occurs due to a strong electric field.
Field Emission = 10⁸ V m⁻¹
8 Incorrect statement about the application of electric field emission
�� Field emission requires strong electric fields. �� UV radiation is associated with photoelectric emission. �� Electrons are directly extracted by the field.
- Electric field emission occurs due to the action of a strong electric field. → Ultraviolet light is not required for field emission. → UV radiation is associated with photoelectric emission. → Therefore Option C is the correct statement.
- �� Option A → Correct application.
- �� Option B → Correct field strength requirement.
- �� Option D → Correct description of the process.
Used
- Odd One Out
Application:
- Identify the option describing a different emission mechanism.
Final Logic:
- UV radiation belongs to photoelectric emission, not field emission.
Field = Electric, Photo = Light
9 In the photoelectric effect, electrons near the surface absorb enough energy from the ________ to overcome the ________ of the positive ions.
�� Incident radiation supplies energy. �� Positive ions attract electrons. �� Electrons escape after overcoming attraction.
- During the photoelectric effect, electrons absorb energy from incident electromagnetic radiation. → This energy enables them to overcome the attractive force exerted by the positive ions. → Therefore the correct combination is Incident radiation and Attraction.
- �� Option A → Positive ions attract rather than repel electrons.
- �� Option C → Describes thermionic emission.
- �� Option D → Magnetic fields are not responsible.
Used
- Contextual/Tonal Matching
Application:
- Match the photoelectric process with the correct physical concepts.
Final Logic:
- Incident radiation provides energy to overcome ionic attraction.
Light In → Electron Out
10 The fundamental identity of a photoelectron
�� A photoelectron is an ordinary electron. �� Only the mode of production differs. �� Charge and mass remain unchanged.
- Photoelectrons are ordinary electrons emitted due to incident light. → Their charge, mass and e/m ratio are identical to all other electrons. → The term "photoelectron" only indicates how the electron was produced. → Therefore Option A is correct.
- �� Option B → Electrons do not have positive mass.
- �� Option C → All electrons have the same e/m ratio.
- �� Option D → A photoelectron is not a photon.
Used
- Elimination
Application:
- Compare the known properties of electrons.
Final Logic:
- A photoelectron is simply an electron emitted through the photoelectric effect.
Photoelectron = Electron + Light Origin
11 Hertz's 1887 observations linked electromagnetic wave generation with photoelectric emission. What was the critical detail of his observation?
�� Hertz used spark discharges to study electromagnetic waves. �� Ultraviolet light enhanced spark discharge. �� Electron emission from the metal surface caused the enhancement.
- Hertz observed that when ultraviolet light from an arc lamp illuminated the emitter plate, spark discharge became stronger. → The ultraviolet radiation helped electrons escape from the metal surface. → This facilitated electrical discharge and enhanced the spark across the detector loop. → Therefore Option C is correct.
- �� Option A → The arc lamp produced UV light; sparks did not cause the arc lamp to emit UV.
- �� Option B → Infrared light was not responsible for the observed enhancement.
- �� Option D → Heating the detector loop was not the mechanism observed.
Used
- Contextual/Tonal Matching
Application:
- Match the historical observation with the actual experimental result.
Final Logic:
- UV-assisted electron emission enhanced spark discharge.
UV on Metal → Stronger Spark
12 Statements concerning the impact of ultraviolet light in Hertz's setup
1. Ultraviolet light was sourced from an arc lamp.
2. It illuminated the detector loop directly.
3. It illuminated the emitter plate.
4. It caused the spark discharge across the detector loop to be enhanced.
�� Arc lamp provided ultraviolet light. �� UV light illuminated the emitter plate. �� Spark discharge became stronger.
- Statement 1 is correct because the UV radiation came from an arc lamp. → Statement 2 is incorrect because the significant illumination was on the emitter plate, not directly on the detector loop. → Statement 3 is correct because the emitter plate was illuminated. → Statement 4 is correct because the spark discharge became enhanced. → Therefore, Option A is correct.
- �� Option B → Includes incorrect statement 2.
- �� Option C → Includes incorrect statement 2.
- �� Option D → Includes incorrect statement 2.
Used
- Option Grouping
Application:
- Verify each statement using Hertz's experimental observations.
Final Logic:
- Only statements 1, 3 and 4 are correct.
Arc Lamp → UV → Emitter → Spark
13 Correct statements derived from Hallwachs' zinc plate experiments
1. A negatively charged zinc plate lost its charge under UV irradiation.
2. The loss of charge logically indicated the emission of negative particles.
3. Positive charge on a positively charged zinc plate was further enhanced.
4. UV light had absolutely no effect on an uncharged zinc plate.
�� Negative zinc plates lost charge. �� Emitted particles were negatively charged. �� Positive charge increased on positively charged plates.
- Statement 1 is correct because UV light caused the negatively charged zinc plate to discharge. → Statement 2 is correct because the loss of negative charge implied emission of negatively charged particles (electrons). → Statement 3 is correct because a positively charged zinc plate became even more positively charged when electrons were emitted. → Statement 4 is incorrect because an uncharged zinc plate became positively charged under UV illumination. → Therefore Option D is correct.
- �� Option A → Includes incorrect statement 4.
- �� Option B → Includes incorrect statement 4.
- �� Option C → Includes incorrect statement 4.
Used
- Option Grouping
Application:
- Check each observation against Hallwachs' experimental results.
Final Logic:
- Only statements 1, 2 and 3 are correct.
UV → Electrons Leave → Positive Charge Increases
14 Incorrect statement regarding Hallwachs' observations of the positively charged zinc plate
�� Positive charge increased due to electron loss. �� Electrons are negatively charged. �� Hallwachs used an electroscope.
- The positively charged zinc plate became more positively charged because electrons left the surface. → Emission of positively charged ions would not explain the photoelectric effect observed. → The experiment supported the emission of negatively charged electrons. → Therefore, Option B is correct.
- �� Option A → Correct observation.
- �� Option C → Correct interpretation of electron emission.
- �� Option D → Hallwachs used an electroscope to detect charge changes.
Used
- Elimination
Application:
- Determine which statement contradicts the electron-emission interpretation.
Final Logic:
- The emitted particles were electrons, not positive ions.
More Positive = Electrons Lost
15 In Lenard's setup, the potential difference between the positive collector plate A and emitter plate C is V. If an electron travels from C to A, the work done by the electric field on the electron is:
�� Electric field accelerates the electron. �� Work done equals charge × potential difference. �� Energy gained is eV.
- An electron moving through a potential difference V gains kinetic energy equal to: Work Done = eV → Here e is the magnitude of electronic charge. → Therefore Option A is correct.
- �� Option B → Incorrect sign for energy gained.
- �� Option C → Incorrect expression.
- �� Option D → Not a work expression.
Used
- Substitution
Application:
- Use Work Done = Charge × Potential Difference.
Final Logic:
- Electron gains energy equal to eV.
Energy Gain = e × V
16 Match the action in Lenard's experiment (List I) with its consequence on current flow (List II).
| List I | List II |
|---|---|
| (1) UV radiations fall on the emitter plate | (a) Results in current flow in the external circuit |
| (2) UV radiations are abruptly stopped | (b) Electrons are ejected from the emitter plate C |
| (3) Electrons are attracted towards the positive collector A | (c) Current flow in the circuit immediately stops |
| (4) Electrons flow through the evacuated tube | (d) The flow across the gap results in the circuit current |
�� UV light ejects electrons. �� Removing UV stops emission. �� Electron motion produces current.
The correct matching is: → (1) UV radiations fall on the emitter plate → (b) Electrons are ejected from the emitter plate C → (2) UV radiations are abruptly stopped → (c) Current flow in the circuit immediately stops → (3) Electrons are attracted towards the positive collector A → (d) The flow across the gap results in the circuit current → (4) Electrons flow through the evacuated tube → (a) Results in current flow in the external circuit → This sequence describes the operation of Lenard's photoelectric tube.
- �� Option B → Incorrectly matches UV illumination and current generation.
- �� Option C → Multiple action-consequence pairs are incorrect.
- �� Option D → Incorrectly reverses several relationships.
Used
- Option Grouping
Application:
- Match each experimental event with its direct consequence.
Final Logic:
- Only Option A correctly follows the photoelectric process.
UV → Electrons → Current
17 The ________ frequency is a sharp boundary; if the incident light frequency is below it, photoelectric emission is absolutely ________.
�� Threshold frequency is the minimum required frequency. �� Below threshold, emission never occurs. �� Intensity cannot overcome this limit.
- Threshold frequency is the minimum frequency required to produce photoelectric emission. → If the incident frequency is below this value, electrons are not emitted regardless of intensity. → Therefore the correct combination is Threshold and Impossible.
- �� Option A → Opposite of the actual concept.
- �� Option C → Instantaneous does not describe the condition.
- �� Option D → Saturation frequency is not a standard term.
Used
- Contextual/Tonal Matching
Application:
- Apply the definition of threshold frequency.
Final Logic:
- Below threshold frequency, emission is impossible.
Below Threshold = No Emission
18 The observation that the threshold frequency strictly depends on the nature of the material of the emitter plate implies that
�� Different metals have different work functions. �� Therefore threshold frequencies differ. �� Electron binding strength varies among materials.
- Threshold frequency depends on the work function of the material. → Different metals hold electrons with different strengths. → Hence different materials possess different threshold frequencies. → Therefore Option D is correct.
- �� Option A → Nuclear size is unrelated.
- �� Option B → Glass tubes do not alter frequency in this manner.
- �� Option C → Intensity cannot compensate for insufficient frequency.
Used
- Elimination
Application:
- Relate threshold frequency to work function.
Final Logic:
- Different electron binding strengths produce different threshold frequencies.
Higher Binding → Higher Threshold
19 Based on their photoelectric sensitivity profiles, what primarily differentiates alkali metals (like Li, Na, K) from other metals (like Zn, Cd)?
�� Alkali metals have low work functions. �� Visible light can eject electrons. �� Zinc and cadmium generally require UV radiation.
- Alkali metals such as lithium, sodium and potassium are highly photosensitive. → Their lower work functions allow visible light to eject electrons. → Zinc and cadmium require higher-energy ultraviolet radiation. → Therefore Option B is correct.
- �� Option A → Alkali metals require lower, not higher, threshold frequencies.
- �� Option C → Both types emit electrons.
- �� Option D → Alkali metals also show photoelectric emission.
Used
- Elimination
Application:
- Compare the work functions and sensitivity of the metals.
Final Logic:
- Lower work functions make alkali metals responsive to visible light.
Alkali Metals Love Visible Light
20 If visible light has a lower frequency than ultraviolet light, and sodium emits electrons under visible light while zinc requires UV light, which metal must have a higher threshold frequency?
�� Higher threshold frequency means higher energy requirement. �� Zinc requires ultraviolet light. �� Sodium responds to visible light.
- Threshold frequency is the minimum frequency needed for photoelectric emission. → Since sodium emits electrons under visible light, its threshold frequency is relatively low. → Zinc requires ultraviolet light, which has a higher frequency than visible light. → Therefore zinc must have the higher threshold frequency. → Hence Option A is correct.
- �� Option B → Sodium has a lower threshold frequency.
- �� Option C → Their threshold frequencies are not equal.
- �� Option D → The information is sufficient to determine the answer.
Used
- Elimination
Application:
- Compare the minimum frequencies required for emission.
Final Logic:
- The metal requiring UV light must possess the higher threshold frequency.
Needs UV → Higher Threshold
