JEE Mains 2025 4 April Morning Shift physics questions with solutions

Showing 1–10 of 25 questions

• MCQmediumSimple Harmonic MotionAngular Simple Harmonic Motion and Its Time Period

  Two simple pendulums have lengths ℓ₁ and ℓ₂ and undergo small angular displacements θ₁ and θ₂ from their mean positions. If their angular accelerations have equal magnitude at an instant, which relation is correct?

  Options

  • Option A

    θ₁ℓ₁ = θ₂ℓ₂

  • Option B

    θ₁ℓ₁² = θ₂ℓ₂²

  • Option C

    θ₁ℓ₂² = θ₂ℓ₁²

  • Option D

    θ₁ℓ₂ = θ₂ℓ₁

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• IntegermediumGeometrical opticsSpherical Mirrors & Image Formation

  The distance between an object and its image formed by a spherical mirror is 30 cm. The magnification is -1/3. If the focal length is x/4 cm, find the magnitude of x.

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• MCQmediumElectrostaticElectric Dipole & Dipole Moment

  Two small spherical balls, each of mass 10 g and carrying charges -2 μC and +2 μC, are attached to the ends of a very light rigid rod of length 20 cm. The rod is placed near an infinite non-conducting sheet having uniform surface charge density 100 μC/m², with the rod making an angle 30° with the electric field. Take ε₀ = 8.85×10⁻¹² C²/(N·m²). The magnitude of net torque on the rod is:

  Options

  • Option A

    11.2 N·m

  • Option B

    112 N·m

  • Option C

    2.24 N·m

  • Option D

    1.12 N·m

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• MCQeasyUnits, Dimensions, Measurements and ErrorsDimensional Analysis and Its Applications

  In an electromagnetic system, the ratio of electric flux to magnetic flux has dimensions MᴾLᑫTᴿAˢ. The values of Q and R are:

  Options

  • Option A

    (3, -5)

  • Option B

    (1, -1)

  • Option C

    (-2, 2)

  • Option D

    (-2, 1)

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• MCQmediumGeometrical opticsSpherical Mirrors & Image Formation

  When an object is placed 40 cm from a spherical mirror, an image with magnification +1/2 is formed. To obtain an image with magnification +1/3, the object should be moved:

  Options

  • Option A

    80 cm away from the mirror

  • Option B

    40 cm away from the mirror

  • Option C

    20 cm towards the mirror

  • Option D

    20 cm away from the mirror

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  Assertion (A): The kinetic energy needed to project a body of mass m from the Earth's surface to infinity is (1/2)mgR, where R is Earth's radius. Reason (R): The maximum gravitational potential energy of the body is zero at infinity. Choose the correct answer.

  Options

  • Option A

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

  • Option B

    A is false but R is true

  • Option C

    A is true but R is false

  • Option D

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

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• MCQeasyWave MotionStanding Sound Waves, Organ Pipes and Resonance Tubes

  A closed organ pipe is filled with water by one-fifth of its original volume. The percentage change in its fundamental frequency is:

  Options

  • Option A

    20%

  • Option B

    -25%

  • Option C

    25%

  • Option D

    -20%

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• IntegermediumProperties of solid and fluidElastic Properties of Solids: Stress, Strain and Elastic Moduli

  Two slabs of different materials have square cross-sections with equal side ℓ and thicknesses d₁ and d₂, where d₂ = 2d₁. Equal shearing forces are applied on their narrow faces. Their deformation angles satisfy θ₂ = 2θ₁. If the shear modulus of material 1 is 4×10⁹ N/m² and that of material 2 is x×10⁹ N/m², find x.

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• MCQmediumNewtons law of motion and FrictionNewton's Law of Motion & Equilibrium

  A body of mass m is suspended by two strings making angles θ₁ and θ₂ with the horizontal ceiling. The corresponding tensions are T₁ and T₂, and T₁ = √3 T₂. Which option is correct?

  Options

  • Option A

    θ₁ = 60°, θ₂ = 30°, with T₂ = mg/2

  • Option B

    θ₁ = 30°, θ₂ = 60°, with T₂ = 4mg/5

  • Option C

    θ₁ = 30°, θ₂ = 60°, with T₂ = 3mg/4

  • Option D

    θ₁ = 45°, θ₂ = 45°, with T₂ = 3mg/4

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• MCQeasyAtomic Structure and X-raysAtomic Structure & Bohr's Atomic Model

  Using the Bohr model for hydrogen-like atoms, the ratio of the radius of the 5th orbit in Li²⁺ to that in He⁺ is:

  Options

  • Option A

    4/9

  • Option B

    3/2

  • Option C

    9/4

  • Option D

    2/3

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