**Section – A**

**Multiple Choice Questions: **This section contains 20 multiple choice questions. Each question has 4 choices (1), (2), (3) and (4), out of which **ONLY ONE **is correct.

**Choose the correct answer :**

**1. The bulk modulus of a liquid is 3 × 10 ^{10} Nm^{–2}. The pressure required to reduce the volume of liquid by 2% is**

(A) 3 × 10^{8} Nm^{–2}

(B) 9 × 10^{8} Nm^{–2}

(C) 6 × 10^{8} Nm^{–2}

(D) 12 × 10^{8} Nm^{–2}

**Answer (C)**

**Sol.**

= 6 × 10^{8} N/m^{2}

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

**Assertion (A):** In an uniform magnetic field, speed and energy remains the same for a moving charged particle.

** Reason (R):** Moving charged particle experiences magnetic force perpendicular to its direction of motion.

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

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

(C) **(A)** is true but **(R)** is false.

(D) **(A)** is false but **(R)** is true.

**Answer (A)**

**Sol.** Magnetic force

⇒* W _{b}* = 0

⇒ ΔKE = 0 and speed remains constant.

**3. Two identical cells each of emf 1.5 V are connected in parallel across a parallel combination of two resistors each of resistance 20 W. A voltmeter connected in the circuit measures 1.2 V. The internal resistance of each cell is**

(A) 2.5 W

(B) 4 W

(C) 5 W

(D) 10 W

**Answer (C)**

**Sol.**

**\(\begin{array}{l}\Rightarrow r = 5~\Omega\end{array} \)**

**4. Identify the pair of physical quantities which have different dimensions.**

(A) Wave number and Rydberg’s constant

(B) Stress and Coefficient of elasticity

(C) Coercivity and Magnetisation

(D) Specific heat capacity and Latent heat

**Answer (D)**

**Sol.**

and,

⇒ They have different dimensions

**5. A projectile is projected with velocity of 25 m/s at an angle q with the horizontal. After t seconds its inclination with horizontal becomes zero. If R represents horizontal range of the projectile, the value of q will be**

**[use g = 10 m/s^{2}]**

(A)

(B)

(C)

(D)

**Answer (D)**

**Sol.**

and,

**6. A block of mass 10 kg starts sliding on a surface with an initial velocity of 9.8 ms ^{–1}. The coefficient of friction between the surface and block is 0.5. The distance covered by the block before coming to rest is**

*g*= 9.8 ms

^{–2}]

(A) 4.9 m

(B) 9.8 m

(C) 12.5 m

(D) 19.6 m

**Answer (B)**

**Sol. **

= 9.8 m

**7. A boy ties a stone of mass 100 g to the end of a**

**2 m long string and whirls it around in a horizontal plane. The string can withstand the maximum tension of 80 N. If the maximum speed with which the stone can revolve is **

**\(\begin{array}{l}\frac{K}{\pi}\text{ rev./min}\end{array} \)**

**. The value of**

*K*is(Assume the string is massless and unstretchable)

(A) 400

(B) 300

(C) 600

(D) 800

**Answer (C)**

**Sol. ***T* = *m*w^{2}*r*

⇒ *K* = 30 × 20 = 600

**8. A vertical electric field of magnitude 4.9 × 10 ^{5} N/C just prevents a water droplet of a mass 0.1 g from falling. The value charge on the droplet will be**

(Given *g* = 9.8 m/s^{2})

(A) 1.6 × 10^{–9} C

(B) 2.0 × 10^{–9} C

(C) 3.2 × 10^{–9} C

(D) 0.5 × 10^{–9} C

**Answer (B)**

**Sol. **Since the droplet is at rest

⇒ Net force = 0

⇒ *mg* = *qE*

**9. A particle experiences a variable force **

**\(\begin{array}{l}\overrightarrow{F}=\left ( 4x\hat{i}+3y^2\hat{j} \right )\end{array} \)**

**in a horizontal**

*x*–*y*plane. Assume distance in meters and force is newton. If the particle moves from point (1, 2) to point (2, 3) in the*x*–*y*plane; then Kinetic Energy changes by

(A) 50.0 J

(B) 12.5 J

(C) 25.0 J

(D) 0 J

**Answer (C)**

Sol.

= 2 × 3 + (27 – 8)

= 25 J

**10. The approximate height from the surface of earth at which the weight of the body becomes [tex]\frac{1}{3}[/tex] of its weight on the surface of earth is**

*R*= 6400 km and √

(A) 3840 km

(B) 4685 km

(C) 2133 km

(D) 4267 km

**Answer (B)**

**Sol. **According to the given information

**11. A resistance of 40 Ω is connected to a source of alternating current rated 220 V, 50 Hz. Find the time taken by the current to change from its maximum value to the rms value :**

(A) 2.5 ms

(B) 1.25 ms

(C) 2.5 s

(D) 0.25 s

**Answer (A)**

**Sol.***I* = *I*_{0}cos(ω*t*) say

⇒ At maximum ω*t*_{1} = 0 or *t*_{1} = 0

Then at rms value

⇒ ω*t*_{2} = π/4

⇒ ω(*t*_{2} –* t*_{1}) = π/4

⇒ Option A is right answer

**12. The equations of two waves are given by :**

*y*_{1} = 5 sin 2π(*x – vt*) cm

*y*_{2} = 3 sin 2π(*x – vt* + 1.5) cm

These waves are simultaneously passing through a string. The amplitude of the resulting wave is :

(A) 2 cm

(B) 4 cm

(C) 5.8 cm

(D) 8 cm

**Answer (A)**

**Sol.***y*_{1} = 5sin(2π*x* – 2π*vt*)

*y*_{2} = 3sin(2π*x* – 2π*vt* + 3π)

⇒ Phase difference = 3π

⇒ *A*_{net} = 2 cm

**13. A plane electromagnetic waves travels in a medium of relative permeability 1.61 and relative permittivity 6.44. If magnitude of magnetic intensity is**

**4.5 × 10 ^{–2} Am^{–1} at a point, what will be the approximate magnitude of electric field intensity at that point?**

(Given : Permeability of free space μ_{0} = 4π × 10^{–7} NA^{–2}, speed of light in vacuum *c* = 3 × 10^{8} ms^{–1})

(A) 16.96 Vm^{–1}

(B) 2.25 × 10^{–2} Vm^{–1}

(C) 8.48 Vm^{–1}

(D) 6.75 × 10^{6} Vm^{–1}

**Answer (C)**

**Sol.***H* = 4.5 × 10^{–2}

So *B* = μ_{0μ}*H*

Thus

*n*⇒ refractive index)

So

*E* = 8.48

**14. Choose the correct option from the following options given below :**

(A) In the ground state of Rutherford’s model electrons are in stable equilibrium. While in Thomson’s model electrons always experience a net-force

(B) An atom has a nearly continuous mass distribution in a Rutherford’s model but has a highly non-uniform mass distribution in Thomson’s model

(C) A classical atom based on Rutherford’s model is doomed to collapse.

(D) The positively charged part of the atom possesses most of the mass in Rutherford’s model but not in Thomson’s model.

**Answer (C)**

**Sol.** An atom based on classical theory of Rutherford’s model should collapse as the electrons in continuous circular motion that is a continuously accelerated charge should emit EM waves and so should lose energy. These electrons losing energy should soon fall into heavy nucleus collapsing the whole atom.

**15. Nucleus A is having mass number 220 and its binding energy per nucleon is 5.6 MeV. It splits in two fragments ‘B’ and ‘C’ of mass numbers 105 and 115. The binding energy of nucleons in ‘B’ and ‘C’ is 6.4 MeV per nucleon. The energy Q released per fission will be :**

(A) 0.8 MeV

(B) 275 MeV

(C) 220 MeV

(D) 176 MeV

**Answer (D)**

**Sol. **

⇒ *Q* = [105 × 6.4 + 115×6.4] – [220 × 5.6] MeV

⇒ *Q* = 176 MeV

**16. A baseband signal of 3.5 MHz frequency is modulated with a carrier signal of 3.5 GHz frequency using amplitude modulation method. What should be the minimum size of antenna required to transmit the modulated signal?**

(A) 42.8 m

(B) 42.8 mm

(C) 21.4 mm

(D) 21.4 m

**Answer (C)**

**Sol. **

**\(\begin{array}{l}\nu_c=3.5\times 10^9 \text{ Hz}\end{array} \)**

∴ Size of antenna

= 21.4 mm

**17. A Carnot engine whose heat sinks at 27°C, has an efficiency of 25%. By how many degrees should the temperature of the source be changed to increase the efficiency by 100% of the original efficiency?**

(A) Increases by 18°C

(B) Increases by 200°C

(C) Increases by 120°C

(D) Increases by 73°C

**Answer (B)**

**Sol. **Initially :

⇒ *T _{H}* = 400 K

Finally : Efficiency becomes

⇒ Temperature of the source increases by 200°C.

**18. A parallel plate capacitor is formed by two plates each of area 30p cm ^{2} separated by 1 mm. A material of dielectric strength 3.6 × 10^{7} Vm^{–1} is filled between the plates. If the maximum charge that can be stored on the capacitor without causing any dielectric breakdown is 7 × 10^{–6 }C, the value of dielectric constant of the material is :**

(A) 1.66

(B) 1.75

(C) 2.25

(D) 2.33

**Answer (D)**

**Sol. **Field inside the dielectric

According to the given information,

⇒*k* = 2.33

**19. The magnetic field at the centre of a circular coil of radius r, due to current I flowing through it, is B. The magnetic field at a point along the axis at a distance **

**\(\begin{array}{l}\frac{r}{2}\end{array} \)**

**from the centre is :**

(A)

(B) 2*B*

(C)

(D)

**Answer (C)**

**Sol. **

**20. Two metallic blocks M_{1} and M_{2} of same area of cross-section are connected to each other (as shown in figure). If the thermal conductivity of M_{2} is K then the thermal conductivity of M_{1} will be :**

(A) 10*K*

(B) 8*K*

(C) 12.5*K*

(D) 2*K*

**Answer (B)**

**Sol. **Thermal current is same so

⇒ *K*’ = 8 *K*

**Section – B**

**Numerical Value Type Questions:** This section contains 10 questions. In Section B, attempt any five questions out of 10. The answer to each question is a **NUMERICAL VALUE.** For each question, enter the correct numerical value (in decimal notation, truncated/rounded-off to the second decimal place; e.g. 06.25, 07.00, –00.33, –00.30, 30.27, –27.30) using the mouse and the on-screen virtual numeric keypad in the place designated to enter the answer.

**1. 0.056 kg of Nitrogen is enclosed in a vessel at a temperature of 127°C. The amount of heat required to double the speed of its molecules is ___ k cal.**

(Take R = 2 cal mol^{–1 }K^{–1})

**Answer (12)**

**Sol. **Because the vessel is closed, it will be an isochoric process.

To double the speed, temperature must be 4 times

So *T*_{f} = 1600 K, *T*_{i} = 400 K

number of moles are [tex]\frac{56}{28}=2[/tex]

so

= 12000 cal = 12 K cal

**2. Two identical thin biconvex lenses of focal length 15 cm and refractive index 1.5 are in contact with each other. The space between the lenses is filled with a liquid of refractive index 1.25. The focal length of the combination is ___ cm.**

**Answer (10)**

**Sol. **

here |*R*_{1}| = |*R*_{2}| = *R*

for the concave lens made up of liquid

now for equivalent lens

or *f _{e}* = 10 cm

**3. A transistor is used in common-emitter mode in an amplifier circuit. When a signal of 10 mV is added to the base-emitter voltage, the base current changes by 10 mA and the collector current changes by 1.5 mA. The load resistance is 5 kW. The voltage gain of the transistor will be ___.**

**Answer (750)**

**Sol. **

= 10^{3} Ω

= 750

**4. As shown in the figure an inductor of inductance 200 mH is connected to an AC source of emf 220 V and frequency 50 Hz. The instantaneous voltage of the source is 0 V when the peak value of current is**

**\(\begin{array}{l}\frac{\sqrt{a}}{\pi}\end{array} \)**

**A. The value of a is ___.**

**Answer (242)**

**Sol. **

*z* = *X*_{2} = ω_{2}

= 20 p

**5. Sodium light of wavelengths 650 nm and 655 nm is used to study diffraction at a single slit of aperture 0.5 mm. The distance between the slit and the screen is 2.0 m. The separation between the positions of the first maxima of diffraction pattern obtained in the two cases is _____ × 10 ^{–5} m.**

**Answer (3)**

**Sol. **Position of 1^{st} maxima is

⇒ According to given values, required separation

⇒ Required separation = 3 × 10^{–5} m.

**6. When light of frequency twice the threshold frequency is incident on the metal plate, the maximum velocity of emitted electron is v_{1}. When the frequency of incident radiation is increased to five times the threshold value, the maximum velocity of emitted electron becomes v_{2}. If v_{2} = x v_{1}, the value of x will be ________.**

**Answer (2)**

**Sol. **Let us say the work function is f

and

From (1) and (2)

**7. From the top of a tower, a ball is thrown vertically upward which reaches the ground in 6 s. A second ball thrown vertically downward from the same position with the same speed reaches the ground in 1.5 s. A third ball released, from the rest from the same location, will reach the ground in ____ s.**

**Answer (3)**

**Sol. **Based on the situation

and

solving above equations

**8. A ball of mass 100 g is dropped from a height h =10 cm on a platform fixed at the top of a vertical spring (as shown in figure). The ball stays on the platform and the platform is depressed by a distance**

**\(\begin{array}{l}\frac{h}{2}\end{array} \)**

**. The spring constant is ______ Nm**

^{–1}.(Use *g* = 10 ms^{–2})

**Answer (120)**

**Sol. **

*k* =120 N/m

**9. In a potentiometer arrangement, a cell gives a balancing point at 75 cm length of wire. This cell is now replaced by another cell of unknown emf. If the ratio of the emf’s of two cells respectively is 3 : 2, the difference in the balancing length of the potentiometer wire in above two cases will be _____ cm.**

**Answer (25)**

**Sol. **At balancing point, we know that emf is proportional to the balancing length. i.e.,

emf ∝ balancing length

Now, let the emf’s be 3ε and 2ε.

3ε = k(75) …(1)

and 2ε = k(*l*) …(2)

*l* = 50 cm

Difference is (75 – 50) cm = 25 cm.

**10. A metre scale is balanced on a knife edge at its centre. When two coins, each of mass 10 g are put one on the top of the other at the 10.0 cm mark the scale is found to be balanced at 40.0 cm mark. The mass of the metre scale is found to be x × 10^{–2} kg. The value of x is _________.**

**Answer (6)**

**Sol.**

If λ is the mass per unit length of the scale then

0.02 × (30) × 10 + l40 × 20 × 10 = l60 × 30 × 10

0.006 = λ10

Or 100 λ = 0.06 kg

= 6 × 10^{–2} kg

*x *= 6

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## Frequently Asked Questions β FAQs

### What was the difficulty level of the Physics questions asked in JEE Main 2022 June 24 Shift 1 Physics Question Paper?

Most of the questions from Physics were either easy or of moderate difficulty.

### How many questions were asked from Physics in the JEE Main Jun 24, 2022 shift 1 question paper?

A total of 30 questions were asked from Physics in JEE Main 2022 June 24 β Shift 1 Question Paper. Of the total of 30 questions, 20 are multiple choice questions and 10 are single answer questions.

### How many questions were difficult in the Physics part of JEE Main 2022 June 24 Shift 1 Physics Question Paper?

Compared to Maths and Chemistry, Physics was simple. 16 easy and 10 medium-level questions were asked in Physics. There were just 4 questions in the tough category.

### On what topic was the question from the Wave Optics chapter?

The question was asked on the topic of diffraction.

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