JEE Advanced 2022 physics questions with solutions

Showing 1–10 of 31 questions

• Multi-correctmediumThermodynamics

  In the given P-V diagram, a monoatomic gas with γ=5/3 is first compressed adiabatically from A to B and then expands isothermally from B to C. Use the source data (including ln 2≈0.7) to choose the correct statement(s).

  

  Select all that apply

  • Option A

    The magnitude of the total work done in the process A → B → C is 144 kJ.

  • Option B

    The magnitude of the work done in the process B → C is 84 kJ.

  • Option C

    The magnitude of the work done in the process A → B is 60 kJ.

  • Option D

    The magnitude of the work done in the process C → A is zero.

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• IntegermediumKinematics part-2 Projectile MotionMotion in 2-D and ground to ground projectile

  A ball of mass m is thrown vertically upward. Another ball of mass 2m is thrown making an angle θ with the vertical. Both the balls stay in air for the same period of time. The ratio of the heights attained by the two balls respectively is 1/x. The value of x is_________.

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• NumericmediumRotational Motiontorque and rotational equilibrium

  A particle of mass 1 kg is acted on by $\vec{F}$ = -k(x î + y ĵ), where k = 1 kg s⁻². At t = 0, $\vec{r}$ = (î/√2 + √2 ĵ) m and $\vec{v}$ = (-√2 î + √2 ĵ + (2/π)k̂) m s⁻¹. Ignore gravity. When z = 0.5 m, find x vᵧ - y vₓ in m² s⁻¹.

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• NumericmediumNuclear physics

  Find the minimum laboratory kinetic energy, in MeV, of an α-particle required for ¹⁶₇N + ⁴₂He → ¹₁H + ¹⁹₈O, with ¹⁶₇N initially at rest. Masses are 16.006 u, 4.003 u, 1.008 u and 19.003 u; take 1 u c² = 930 MeV.

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• Multi-correctdifficultGeometrical opticslaw of reflection and plane mirror

  Three plane mirrors form an equilateral triangle with each side of length L. There is a small hole at a distance λ > 0 from one of the corners as shown in the figure. A ray of light is passed through the hole at an angle θ and can only come out through the same hole. The cross section of the mirror configuration and the ray of light lie on the same plane. Which of the following statement(s) is(are) correct?

  

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  • Option A

    The ray of light will come out for θ = 30°, for 0 < λ < L.

  • Option B

    There is an angle for λ = L/2 at which the ray comes out after two reflections.

  • Option C

    The ray will NEVER come out for θ = 60° and λ = L/3.

  • Option D

    The ray comes out for θ = 60° and 0 < λ < L/2 after six reflections.

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• NumericmediumNuclear physics

  In the decay chain ²³⁰₉₀Th → ²¹⁴₈₄Po, find the ratio of the number of α emissions to β⁻ emissions.

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• NumericmediumCapacitor

  In the shown circuit, C₁ = 12 µF, C₂ = C₃ = 4 µF and C₄ = C₅ = 2 µF. Find the charge stored on C₃, in µC.

  

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• NumericmediumCurrent electricityElectrical Instruments: Galvanometer, Ammeter, Voltmeter & Potentiometer

  Two resistances R₁ = X Ω and R₂ = 1 Ω are connected to a uniform-resistivity wire AB as shown. The wire radius varies linearly from 0.2 mm at A to 1.0 mm at B. A galvanometer connected at the midpoint (50 cm from each end) shows zero deflection. Find X.

  

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• Multi-correctmediumElectrostaticpotential energy and electric potential

  Six charges are placed at the vertices of a regular hexagon of side a. Five charges are q and the sixth is x, as shown. Select the correct statement(s) for the electric field and potential at the centre O.

  

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  • Option A

    For x = q, the electric field at O is zero.

  • Option B

    For x = -q, |$E_{o}$| = q/(6πε₀a²).

  • Option C

    For x = 2q, $V_{o}$ = 7q/(4√3 πε₀a).

  • Option D

    For x = -3q, $V_{o}$= 3q/(4√3 πε₀a).

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• MCQmediumUnit dimension and error

  A screw gauge has main-scale division 0.5 mm, 100 circular divisions, and one full circular rotation shifts the main scale by two divisions. Zero reading is: main scale 0, circular 4. With wire, two readings are (4 divisions,20 divisions) and (4 divisions,16 divisions). Find the wire diameter and cross-sectional area.

  Options

  • Option A

    2.22 ± 0.02 mm, π(1.23 ± 0.02) mm²

  • Option B

    2.22 ± 0.01 mm, π(1.23 ± 0.01) mm²

  • Option C

    2.14 ± 0.02 mm, π(1.14 ± 0.02) mm²

  • Option D

    2.14 ± 0.01 mm, π(1.14 ± 0.01) mm²

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