Other Physics · JEE Main previous year questions

2023 59 questions

1. Q312023 · 6 Apr 2023 · Shift 2

   A particle starts with an initial velocity of $10.0\mathrm{m}{\mathrm{s}}^{-1}$ along $x$-direction and accelerates uniformly at the rate of $2.0\mathrm{m}{\mathrm{s}}^{-2}$. The time taken by the particle to reach the velocity of $60.0\mathrm{m}{\mathrm{s}}^{-1}$ is ____.

   1. A.$30\mathrm{s}$
   2. B.$6\mathrm{s}$
   3. C.$3\mathrm{s}$
   4. D.$25\mathrm{s}$
   Show answer

   Answer: D

2. Q482023 · 6 Apr 2023 · Shift 2

   Choose the incorrect statement from the following:

   1. A.The linear speed of a planet revolving around the sun remains constant.
   2. B.When a body falls towards earth, the displacement of earth towards the body is negligible.
   3. C.The speed of satellite in a given circular orbit remains constant.
   4. D.For a planet revolving around the sun in an elliptical orbit, the total energy of the planet remains constant.
   Show answer

   Answer: A

3. Q492023 · 6 Apr 2023 · Shift 2

   A body cools in $7$ minutes from $60^{\circ }\text{C}$ to $40^{\circ }\text{C}$. The temperature of the surrounding is $10^{\circ }\text{C}$. The temperature of the body after the next $7$ minutes will be:

   1. A.$34^{\circ }\text{C}$
   2. B.$28^{\circ }\text{C}$
   3. C.$32^{\circ }\text{C}$
   4. D.$30^{\circ }\text{C}$
   Show answer

   Answer: B

4. Q422023 · 1 Feb 2023 · Shift 1

   Given below are two statements: Statement I: Acceleration due to gravity is different at different places on the surface of earth. Statement II: Acceleration due to gravity increases as we go down below the earth's surface. In the light of the above statements, choose the correct answer from the options given below

   1. A.Both Statement I and Statement II are true
   2. B.Both Statement I and Statement II are false
   3. C.Statement I is false but Statement II is true
   4. D.Statement I is true but Statement II is false
   Show answer

   Answer: D

5. Q502023 · 1 Feb 2023 · Shift 1

   Which of the following frequencies does not belong to FM broadcast ?

   1. A.$106\text{ MHz}$
   2. B.$89\text{ MHz}$
   3. C.$64\text{ MHz}$
   4. D.$99\text{ MHz}$
   Show answer

   Answer: C

6. Q382023 · 31 Jan 2023 · Shift 1

   At a certain depth "d " below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $3\mathrm{R}$ above earth surface. Where $\mathrm{R}$ is Radius of earth (Take $\mathrm{R}=6400\text{ km}$ ). The depth d is equal to

   1. A.$5260\text{ km}$
   2. B.$2560\text{ km}$
   3. C.$640\text{ km}$
   4. D.$4800\text{ km}$
   Show answer

   Answer: D

7. Q462023 · 31 Jan 2023 · Shift 1

   The correct relation between $\gamma =\frac{c_p}{c_v}$ and temperature T is :

   1. A.$\gamma \propto T$
   2. B.$\gamma \propto \frac{1}{\sqrt{T}}$
   3. C.$\gamma \propto \frac{1}{T}$
   4. D.$\gamma \propto T^0$
   Show answer

   Answer: D

8. Q492023 · 31 Jan 2023 · Shift 1

   The amplitude of $15\sin (1000\pi t)$ is modulated by $10\sin (4\pi t)$ signal. The amplitude modulated signal contains frequency (ies) of A. $500\text{ Hz}$ B. $2\text{ Hz}$ C. $250\text{ Hz}$ D. $498\text{ Hz}$ E. $502\text{ Hz}$ Choose the correct answer from the options given below:

   1. A.B only
   2. B.A only
   3. C.A, D and E only
   4. D.A and B only
   Show answer

   Answer: C

9. Q382023 · 31 Jan 2023 · Shift 2

   A body weight W, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be :

   1. A.$\frac{\mathrm{W}}{91}$
   2. B.$\frac{\mathrm{W}}{3}$
   3. C.$\frac{\mathrm{W}}{100}$
   4. D.$\frac{\mathrm{W}}{9}$
   Show answer

   Answer: C

10. Q392023 · 31 Jan 2023 · Shift 2

    Considering a group of positive charges, which of the following statements is correct ?

    1. A.Net potential of the system cannot be zero at a point but net electric field can be zero at that point
    2. B.Net potential of the system at a point can be zero but net electric field can't be zero at that point.
    3. C.Both the net potential and the net electric field cannot be zero at a point.
    4. D.Both the net potential and the net field can be zero at a point.
    Show answer

    Answer: A

11. Q462023 · 30 Jan 2023 · Shift 1
    
    1. A.A- II, B-III, C-IV, D-I
    2. B.A- II, B-IV, C-III, D-I
    3. C.A- I, B-III, C-IV, D-II
    4. D.A- I, B-II, C-III, D-IV
    Show answer

    Answer: B

12. Q482023 · 30 Jan 2023 · Shift 1

    A person has been using spectacles of power $-1.0\text{ dioptre}$ for distant vision and a separate reading glass of power $2.0\text{ dioptres}$. What is the least distance of distinct vision for this person :

    1. A.$50\text{ cm}$
    2. B.$40\text{ cm}$
    3. C.$30\text{ cm}$
    4. D.$10\text{ cm}$
    Show answer

    Answer: A

13. Q502023 · 30 Jan 2023 · Shift 1

    A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of 120 V and 80 V respectively. The amplitude of each sideband is :

    1. A.15 V
    2. B.20 V
    3. C.5 V
    4. D.10 V
    Show answer

    Answer: D

14. Q572023 · 30 Jan 2023 · Shift 1· Numerical answer
    
    Show answer

    Answer: 30

15. Q412023 · 29 Jan 2023 · Shift 1

    Which of the following are true? A. Speed of light in vacuum is dependent on the direction of propagation. B. Speed of light in a medium is independent of the wavelength of light. C. The speed of light is independent of the motion of the source. D. The speed of light in a medium is independent of intensity. Choose the correct answer from the options given below:

    1. A.B and D only
    2. B.B and C only
    3. C.A and C only
    4. D.C and D only
    Show answer

    Answer: D

16. Q582023 · 29 Jan 2023 · Shift 1· Numerical answer

    A tennis ball is dropped on to the floor from a height of 9.8 m. It rebounds to a height 5.0 m. Ball comes in contact with the floor for 0.2s. The average acceleration during contact is ____ $\mathrm{m}{\mathrm{s}}^{-2}$. (Given $g=10\mathrm{m}{\mathrm{s}}^{-2}$)

    Show answer

    Answer: 120

17. Q592023 · 29 Jan 2023 · Shift 1· Numerical answer

    A body cools from $60^{\circ }\mathrm{C}$ to $40^{\circ }\mathrm{C}$ in 6 minutes. If, temperature of surroundings is $10^{\circ }\mathrm{C}$. Then, after the next 6 minutes, its temperature will be ____ ${}^{\circ }\mathrm{C}$.

    Show answer

    Answer: 28

18. Q322023 · 29 Jan 2023 · Shift 2

    A force acts for 20 s on a body of mass 20 kg, starting from rest, after which the force ceases and then body describes 50 m in the next 10 s. The value of force will be:

    1. A.40 N
    2. B.20 N
    3. C.5 N
    4. D.10 N
    Show answer

    Answer: C

19. Q402023 · 29 Jan 2023 · Shift 2
    
    1. A.The rms current in circuit (b) can be larger than that in (a)
    2. B.The rms current in figure (a) is always equal to that in figure (b)
    3. C.The rms current in circuit (b) can never be larger than that in (a)
    4. D.At resonance, current in (b) is less than that in (a)
    Show answer

    Answer: C

20. Q442023 · 29 Jan 2023 · Shift 2

    A fully loaded boeing aircraft has a mass of $5.4\times 10^5$ kg. Its total wing area is 500 ${\mathrm{m}}^2$. It is in level flight with a speed of 1080 km/h. If the density of air $\rho$ is 1.2 $\mathrm{kg}{\mathrm{m}}^{-3}$, the fractional increase in the speed of the air on the upper surface of the wing relative to the lower surface in percentage will be. $(\mathrm{g}=10m/{\mathrm{s}}^2)$

    1. A.16
    2. B.8
    3. C.6
    4. D.10
    Show answer

    Answer: D

21. Q512023 · 25 Jan 2023 · Shift 1· Numerical answer

    If $\vec{P}=3\hat{i}+\sqrt{3}\hat{j}+2\hat{k}$ and $\vec{Q}=4\hat{i}+\sqrt{3}\hat{j}+2.5\hat{k}$ then, the unit vector in the direction of $\vec{P}\times \vec{Q}$ is $\frac{1}{x}\left(\sqrt{3}\hat{i}+\hat{j}-2\sqrt{3}\hat{k}\right)$. The value of $x$ is ____.

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    Answer: 4

22. Q562023 · 25 Jan 2023 · Shift 1· Numerical answer

    The distance between two consecutive points with phase difference of $60^{\circ }$ in a wave of frequency 500 Hz is 6.0 m. The velocity with which wave is travelling is ____ km/s

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    Answer: 18

23. Q402023 · 25 Jan 2023 · Shift 2
    
    1. A.$\frac{t_P}{100}=\frac{t_Q-180}{150}$
    2. B.$\frac{t_P}{180}=\frac{t_Q-40}{100}$
    3. C.$\frac{t_Q}{150}=\frac{t_P-180}{100}$
    4. D.$\frac{t_Q}{100}=\frac{t_P-30}{150}$
    Show answer

    Answer: D

24. Q502023 · 25 Jan 2023 · Shift 2

    Match List I with List II $$\begin{array}{llll}& \text{List I}& & \text{List II}\\ \text{A.}& \text{Troposphere}& \text{I.}& \text{Approximate 65-75 km over Earth’s surface}\\ \text{B.}& \text{E-Part of Stratosphere}& \text{II.}& \text{Approximate 300 km over Earth’s surface}\\ \text{C.}& {\mathrm{F}}_2\text{-Part of Thermosphere}& \text{III.}& \text{Approximate 10 km over Earth’s surface}\\ \text{D.}& \text{D-Part of Stratosphere}& \text{IV.}& \text{Approximate 100 km over Earth’s surface}\end{array}$$ Choose the correct answer from the options given below :

    1. A.A-III, B-IV, C-II, D-I
    2. B.A-III, B-II, C-I, D-IV
    3. C.A-I, B-IV, C-III, D-II
    4. D.A-I, B-II, C-IV, D-III
    Show answer

    Answer: A

25. Q352023 · 24 Jan 2023 · Shift 1

    The weight of a body at the surface of earth is $18\mathrm{N}$. The weight of the body at an altitude of $3200\mathrm{km}$ above the earth's surface is (given, radius of earth ${\mathrm{R}}_{\mathrm{e}}=6400\mathrm{km}$) :

    1. A.$9.8\mathrm{N}$
    2. B.$4.9\mathrm{N}$
    3. C.$19.6\mathrm{N}$
    4. D.$8\mathrm{N}$
    Show answer

    Answer: D