JEE Mains physics questions with solutions

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• NumericmediumElectromagnetic InductionSelf-Inductance, Induced EMF and Transient Analysis of L-R Circuits

  The current in a 4 H inductor increases from 2 A to 6 A. Determine the increase in stored magnetic energy, in joule.

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• NumericmediumMixed Chapter

  A block is lying on the horizontal frictionless surface. One end of a uniform rope is fixed to the block which is pulled in the horizontal direction by applying a force F at the other end. If the mass of the rope is half the mass of the block, the tension in the middle of the rope will be nF/6. Find the value of n (Neglect sagging of rope under its own weight)

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• NumericmediumNuclear physicsRadioactivity & Radioactive Decay Law

  Two radioactive samples X and Y initially have activities 800 Bq and 100 Bq. Their half-lives are 2 h and 6 h respectively. After how many hours will their activities become equal?

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• MCQmediumWave Optics

  What is the minimum thickness of a soap bubble required for constructive interference in reflected light of wavelength 900 nm? The refractive index of the film is μ=1.5.

  Options

  • Option A

    100 nm

  • Option B

    150 nm

  • Option C

    200 nm

  • Option D

    250 nm

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• NumericdifficultKinematics Part-1 (one dimension)Ghraphical problem of kinematics

  The velocity-time graph of a particle is shown. If its average speed for 6 s is b and its average acceleration from 0 s to 4 s is c, find the magnitude of bc, in m² s⁻³.

  

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• MCQmediumKinematics Part-1 (one dimension)Ghraphical problem of kinematics

  The velocity-time graph shown has segments OA and AB. Which of the following statements is wrong?

  

  Options

  • Option A

    The magnitudes of average velocities during OA and AB are in the ratio 1:1.

  • Option B

    OA/OB = 1/4.

  • Option C

    The magnitudes of average accelerations are in the inverse ratio of the distances covered.

  • Option D

    The distances covered during OA and AB are in the ratio 1:3.

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• MCQmediumWave Optics

  Light with wavelength 500 nm falls on a slit of width 10 μm at an angle 30° to its normal. Find the angular position of the first minima located on both sides of the central Fraunhofer maxima:-

  Options

  • Option A

    33° and 27°

  • Option B

    25° and 35°

  • Option C

    36° and 24°

  • Option D

    28° and 32°

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• A/RmediumWave OpticsDiffraction of Light

  Choose the correct option for the following Assertion (A) and Reason (R).

  Assertion

  The central maximum in a single-slit diffraction pattern is approximately twice as wide as each secondary maximum.

  Reason

  The first minima surrounding the central maximum occur at a sinθ = ±λ, while consecutive minima on the same side are approximately separated by λD ÷ a on a distant screen.

  Options

  • Option A

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

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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• MCQmediumSimple Harmonic Motion

  Equations y = 2A cos²(ωt) and y = A[sin(ωt) + √3 cos(ωt)] represent the motion of two particles.

  Options

  • Option A

    Only one of these is SHM

  • Option B

    Ratio of maximum speeds is 2 : 1

  • Option C

    Ratio of maximum speeds is 1 : 1

  • Option D

    Ratio of maximum accelerations is 1 : 4

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• A/RmediumWork , Power and EnergyPower & Its Applications

  Evaluate the following statements.

  Assertion

  Assertion (A): For a car driven by an engine of constant power on a resistance-free horizontal road, acceleration decreases as speed increases.

  Reason

  Reason (R): At constant power, the driving force is inversely proportional to speed.

  Options

  • Option A

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

  • Option B

    Both A and R are true but R is NOT the correct explanation of A.

  • Option C

    A is true but R is false.

  • Option D

    A is false but R is true.

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