Other Physics · JEE Main previous year questions

2022 52 questions

1. 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
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   Answer: C

2. 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
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   Answer: C

3. 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.$K_2=\frac{K_1}{3}$
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   Answer: B

4. 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

5. 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

6. 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

7. 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

8. 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
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   Answer: B

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

   Answer: A

10. 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

11. 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

12. 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

13. 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.${\lambda }_{\text{microwave}}<{\lambda }_{\text{visible}}<{\lambda }_{\text{gamma-ray}}<{\lambda }_{\text{X-ray}}$
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    Answer: B

14. 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
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    Answer: D

15. 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

16. 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

17. 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.$\vec{A}\times \vec{A}>0$
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    Answer: C

18. 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

19. 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

20. Q592022 · 25 Jun 2022 · Shift 1· Numerical answer

    A force on an object of mass $100\text{ g}$ is $\left(10\hat{i}+5\hat{j}\right)\text{ N}$. The position of that object at $t=2\text{ s}$ is $\left(a\hat{i}+b\hat{j}\right)\text{ m}$ after starting from rest. The value of $\frac{a}{b}$ will be $\underline{}$.

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    Answer: 2

21. Q322022 · 25 Jun 2022 · Shift 2

    Two buses P and Q start from a point at the same time and move in a straight line and their positions are represented by $X_P(t)=\alpha t+\beta t^2$ and $X_Q(t)=ft-t^2$. At what time, both the buses have same velocity?

    1. A.$\frac{\alpha -f}{1+\beta }$
    2. B.$\frac{\alpha +f}{2(\beta -1)}$
    3. C.$\frac{\alpha +f}{2(1+\beta )}$
    4. D.$\frac{f-\alpha }{2(1+\beta )}$
    Show answer

    Answer: D

22. Q342022 · 25 Jun 2022 · Shift 2

    A solid metallic cube having total surface area $24{\mathrm{m}}^2$ is uniformly heated. If its temperature is increased by $10^{\circ }\mathrm{C}$, calculate the increase in volume of the cube. (Given $\alpha =5.0\times 10^{-4}{}^{\circ }{\mathrm{C}}^{-1}$).

    1. A.$2.4\times 10^6\mathrm{c}{\mathrm{m}}^3$
    2. B.$1.2\times 10^5\mathrm{c}{\mathrm{m}}^3$
    3. C.$6.0\times 10^4\mathrm{c}{\mathrm{m}}^3$
    4. D.$4.8\times 10^5\mathrm{c}{\mathrm{m}}^3$
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    Answer: B

23. Q572022 · 25 Jun 2022 · Shift 2· Numerical answer

    27 identical drops are charged at 22V each. They combine to form a bigger drop. The potential of the bigger drop will be _____________ V.

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    Answer: 198

24. Q322022 · 24 Jun 2022 · Shift 2

    The distance between Sun and Earth is R. The duration of year if the distance between Sun and Earth becomes 3R will be :

    1. A.$\sqrt{3}\mathrm{years}$
    2. B.$3\mathrm{years}$
    3. C.$9\mathrm{years}$
    4. D.$3\sqrt{3}\mathrm{years}$
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    Answer: D

25. Q372022 · 24 Jun 2022 · Shift 2

    The soft-iron is a suitable material for making an electromagnet. This is because soft-iron has

    1. A.low coercivity and high retentivity.
    2. B.low coercivity and low permeability.
    3. C.high permeability and low retentivity.
    4. D.high permeability and high retentivity.
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    Answer: C