Other Physics · JEE Main previous year questions

2022 52 questions

1. Q332022 · 25 Jul 2022 · Shift 2

   Two billiard balls of mass $0.05\text{ kg}$ each moving in opposite directions with $10{\text{ ms}}^{-1}$ collide and rebound with the same speed. If the time duration of contact is $t=0.005\text{ s}$, then what is the force exerted on the ball due to each other?

   1. A.$100\text{ N}$
   2. B.$200\text{ N}$
   3. C.$300\text{ N}$
   4. D.$400\text{ N}$
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   Answer: B

2. Q362022 · 25 Jul 2022 · Shift 2

   The ratio of wavelengths of proton and deuteron accelerated by potential ${\mathrm{V}}_{\mathrm{p}}$ and ${\mathrm{V}}_{\mathrm{d}}$ is $1:\sqrt{2}$. Then the ratio of ${\mathrm{V}}_{\mathrm{p}}$ to ${\mathrm{V}}_{\mathrm{d}}$ will be :

   1. A.$1:1$
   2. B.$\sqrt{2}:1$
   3. C.$2:1$
   4. D.$4:1$
   Show answer

   Answer: D

3. Q392022 · 25 Jul 2022 · Shift 2

   When you walk through a metal detector carrying a metal object in your pocket, it raises an alarm. This phenomenon works on :

   1. A.Electromagnetic induction
   2. B.Resonance in ac circuits
   3. C.Mutual induction in ac circuits
   4. D.Interference of electromagnetic waves
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   Answer: B

4. Q432022 · 25 Jul 2022 · Shift 2

   An object is taken to a height above the surface of earth at a distance $\frac{5}{4}\text{ R}$ from the centre of the earth. Where radius of earth, $R=6400\text{ km}$. The percentage decrease in the weight of the object will be :

   1. A.$36\%$
   2. B.$50\%$
   3. C.$64\%$
   4. D.$25\%$
   Show answer

   Answer: A

5. Q512022 · 25 Jul 2022 · Shift 2· Numerical answer

   A particle is moving in a straight line such that its velocity is increasing at $5{\text{ ms}}^{-1}$ per meter. The acceleration of the particle is ___________ ${\text{ms}}^{-2}$ at a point where its velocity is $20{\text{ ms}}^{-1}$.

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   Answer: 100

6. Q312022 · 28 Jun 2022 · Shift 2

   Velocity ($v$) and acceleration ($a$) in two systems of units 1 and 2 are related as $v_2=\frac{n}{m^2}{v}_1$ and $a_2=\frac{a_1}{mn}$ respectively. Here m and n are constants. The relations for distance and time in two systems respectively are :

   1. A.$\frac{n^3}{m^3}{L}_1=L_2$ and $\frac{n^2}{m}{T}_1=T_2$
   2. B.$L_1=\frac{n^4}{m^2}{L}_2$ and $T_1=\frac{n^2}{m}{T}_2$
   3. C.$L_1=\frac{n^2}{m}{L}_2$ and $T_1=\frac{n^4}{m^2}{T}_2$
   4. D.$\frac{n^2}{m}{L}_1=L_2$ and $\frac{n^4}{m^2}{T}_1=T_2$
   Show answer

   Answer: A

7. Q362022 · 28 Jun 2022 · Shift 2

   Two objects of equal masses placed at certain distance from each other attracts each other with a force of F. If one-third mass of one object is transferred to the other object, then the new force will be :

   1. A.$\frac{2}{9}\text{ F}$
   2. B.$\frac{16}{9}\text{ F}$
   3. C.$\frac{8}{9}\text{ F}$
   4. D.F
   Show answer

   Answer: C

8. Q432022 · 28 Jun 2022 · Shift 2

   Two parallel, long wires are kept $0.20\mathrm{m}$ apart in vacuum, each carrying current of x A in the same direction. If the force of attraction per meter of each wire is $2\times 10^{-6}\mathrm{N}$, then the value of x is approximately :

   1. A.1
   2. B.2.4
   3. C.1.4
   4. D.2
   Show answer

   Answer: C

9. Q472022 · 28 Jun 2022 · Shift 2

   Let ${\mathrm{K}}_1$ and ${\mathrm{K}}_2$ be the maximum kinetic energies of photo-electrons emitted when two monochromatic beams of wavelength ${\lambda }_1$ and ${\lambda }_2$, respectively are incident on a metallic surface. If ${\lambda }_1=3{\lambda }_2$ then :

   1. A.$K_1>\frac{K_2}{3}$
   2. B.$K_1<\frac{K_2}{3}$
   3. C.$K_1=\frac{K_2}{3}$
   4. D.$K_2=\frac{K_1}{3}$
   Show answer

   Answer: B

10. Q532022 · 27 Jun 2022 · Shift 1· Numerical answer

    A beam of monochromatic light is used to excite the electron in ${\mathrm{Li}}^{++}$ from the first orbit to the third orbit. The wavelength of monochromatic light is found to be $x\times 10^{-10}\mathrm{m}$. The value of $x$ is ____. [Given $\mathrm{hc}=1242\mathrm{eV}\mathrm{nm}$]

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    Answer: 114

11. Q562022 · 27 Jun 2022 · Shift 1· Numerical answer

    The area of cross-section of a large tank is $0.5{\mathrm{m}}^2$. It has a narrow opening near the bottom having area of cross-section $1\mathrm{c}{\mathrm{m}}^2$. A load of $25\mathrm{kg}$ is applied on the water at the top in the tank. Neglecting the speed of water in the tank, the velocity of the water, coming out of the opening at the time when the height of water level in the tank is $40\mathrm{cm}$ above the bottom, will be ____ $\mathrm{cm}{\mathrm{s}}^{-1}$. [Take $g=10\mathrm{m}{\mathrm{s}}^{-2}$]

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    Answer: 300

12. Q322022 · 27 Jun 2022 · Shift 2

    The distance of the Sun from earth is $1.5\times 10^{11}\text{ m}$ and its angular diameter is $(2000{)}^{\prime \prime }$ when observed from the earth. The diameter of the Sun will be :

    1. A.$2.45\times 10^{10}\text{ m}$
    2. B.$1.45\times 10^{10}\text{ m}$
    3. C.$1.45\times 10^9\text{ m}$
    4. D.$0.14\times 10^9\text{ m}$
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    Answer: C

13. Q512022 · 27 Jun 2022 · Shift 2· Numerical answer

    A mass of $10\text{ kg}$ is suspended vertically by a rope of length $5\text{ m}$ from the roof. A force of $30\text{ N}$ is applied at the middle point of rope in horizontal direction. The angle made by upper half of the rope with vertical is $\theta ={\tan }^{-1}\left(x\times 10^{-1}\right)$. The value of $x$ is ________. (Given, $g=10{\text{ m/s}}^2$)

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    Answer: 3

14. Q322022 · 26 Jun 2022 · Shift 1

    A person is standing in an elevator. In which situation, he experiences weight loss?

    1. A.When the elevator moves upward with constant acceleration
    2. B.When the elevator moves downward with constant acceleration
    3. C.When the elevator moves upward with uniform velocity
    4. D.When the elevator moves downward with uniform velocity
    Show answer

    Answer: B

15. Q362022 · 26 Jun 2022 · Shift 1
    
    1. A.
    2. B.
    3. C.
    4. D.
    Show answer

    Answer: A

16. Q512022 · 26 Jun 2022 · Shift 1· Numerical answer

    A fighter jet is flying horizontally at a certain altitude with a speed of $200{\text{ ms}}^{-1}$. When it passes directly overhead an anti-aircraft gun, a bullet is fired from the gun, at an angle $\theta$ with the horizontal, to hit the jet. If the bullet speed is $400\text{ m/s}$, the value of $\theta$ will be ________ ${}^{\circ }$.

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    Answer: 60

17. Q522022 · 26 Jun 2022 · Shift 1· Numerical answer

    A ball of mass $0.5\text{ kg}$ is dropped from the height of $10\text{ m}$. The height, at which the magnitude of velocity becomes equal to the magnitude of acceleration due to gravity, is ________ $\text{m}$. [Use $\mathrm{g}=10{\text{ m/s}}^2$]

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    Answer: 5

18. Q322022 · 26 Jun 2022 · Shift 2
    
    1. A.$4{\mathrm{a}}_1+2{\mathrm{a}}_2+{\mathrm{a}}_3+{\mathrm{a}}_4=0$
    2. B.${\mathrm{a}}_1+4{\mathrm{a}}_2+3{\mathrm{a}}_3+{\mathrm{a}}_4=0$
    3. C.${\mathrm{a}}_1+4{\mathrm{a}}_2+3{\mathrm{a}}_3+2{\mathrm{a}}_4=0$
    4. D.$2{\mathrm{a}}_1+2{\mathrm{a}}_2+3{\mathrm{a}}_3+{\mathrm{a}}_4=0$
    Show answer

    Answer: A

19. Q452022 · 26 Jun 2022 · Shift 2

    Which is the correct ascending order of wavelengths?

    1. A.${\lambda }_{\text{visible}}<{\lambda }_{\text{X-ray}}<{\lambda }_{\text{gamma-ray}}<{\lambda }_{\text{microwave}}$
    2. B.${\lambda }_{\text{gamma-ray}}<{\lambda }_{\text{X-ray}}<{\lambda }_{\text{visible}}<{\lambda }_{\text{microwave}}$
    3. C.${\lambda }_{\text{X-ray}}<{\lambda }_{\text{gamma-ray}}<{\lambda }_{\text{visible}}<{\lambda }_{\text{microwave}}$
    4. D.${\lambda }_{\text{microwave}}<{\lambda }_{\text{visible}}<{\lambda }_{\text{gamma-ray}}<{\lambda }_{\text{X-ray}}$
    Show answer

    Answer: B

20. Q502022 · 26 Jun 2022 · Shift 2

    A sinusoidal wave $y(t)=40\sin (10\times 10^6\pi t)$ is amplitude modulated by another sinusoidal wave $x(t)=20\sin (1000\pi t)$. The amplitude of minimum frequency component of modulated signal is :

    1. A.0.5
    2. B.0.25
    3. C.20
    4. D.10
    Show answer

    Answer: D

21. Q512022 · 26 Jun 2022 · Shift 2· Numerical answer

    A ball is projected vertically upward with an initial velocity of $50{\text{ ms}}^{-1}$ at t = 0s. At t = 2s, another ball is projected vertically upward with same velocity. At t = ________ s, second ball will meet the first ball ($\mathrm{g}=10{\text{ ms}}^{-2}$).

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    Answer: 6

22. Q562022 · 26 Jun 2022 · Shift 2· Numerical answer

    Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced a force of $10^{-5}\text{ N}$, then separation between the wires is ________ cm.

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    Answer: 5

23. Q322022 · 25 Jun 2022 · Shift 1

    $\vec{A}$ is a vector quantity such that $|\vec{A}|=\text{non-zero constant}$. Which of the following expression is true for $\vec{A}$?

    1. A.$\vec{A}\cdot \vec{A}=0$
    2. B.$\vec{A}\times \vec{A}<0$
    3. C.$\vec{A}\times \vec{A}=0$
    4. D.$\vec{A}\times \vec{A}>0$
    Show answer

    Answer: C

24. Q332022 · 25 Jun 2022 · Shift 1

    Which of the following relations is true for two unit vectors $\hat{A}$ and $\hat{B}$ making an angle $\theta$ to each other?

    1. A.$|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|\tan \frac{\theta }{2}$
    2. B.$|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|\tan \frac{\theta }{2}$
    3. C.$|\hat{A}+\hat{B}|=|\hat{A}-\hat{B}|\cos \frac{\theta }{2}$
    4. D.$|\hat{A}-\hat{B}|=|\hat{A}+\hat{B}|\cos \frac{\theta }{2}$
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    Answer: B

25. Q502022 · 25 Jun 2022 · Shift 1

    A signal of 100 THz frequency can be transmitted with maximum efficiency by :

    1. A.Coaxial cable
    2. B.Optical fibre
    3. C.Twisted pair of copper wires
    4. D.Water
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    Answer: B