JEE mains physics questions with solutions

Showing 1–10 of 3248 questions

• MCQdifficultMathematical tools and vectorVector

  For two vectors A⃗ and B⃗, |A⃗+B⃗|=10 and |A⃗-B⃗|=6. If |A⃗|=|B⃗|, find the magnitude of each vector.

  Options

  • Option A

    √17

  • Option B

    √34

  • Option C

    2√17

  • Option D

    5√2

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• MCQdifficultKinematics Part-1 (one dimension)Motion under constant acceleration

  A particle has initial velocity 25 m s⁻¹ and constant acceleration -5 m s⁻². The total distance travelled in the first 8 s is:

  Options

  • Option A

    72.5 m

  • Option B

    80 m

  • Option C

    85 m

  • Option D

    90 m

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• MCQmediumMathematical tools and vectorIntegration

  Evaluate ∫ (4x+5)/(2x²+5x+7) dx.

  Options

  • Option A

    (1/2)log|2x²+5x+7|+C

  • Option B

    log|2x²+5x+7| + C

  • Option C

    2log|2x²+5x+7|+C

  • Option D

    1/(2x²+5x+7)+C

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• MCQmediumKinematics part-3 Relative motionRelative motion in 2-D and shortest distance problem

  A straight road passes through A. Point B is perpendicular distance d from the road, and its foot P is distance L along the road from A. A person moves on road at speed v and through field at speed v/n (n>1). He leaves road at C before P; let CP=x. The minimum-time condition is:

  Options

  • Option A

    x/√(x²+d²)=1/n

  • Option B

    x/√(x²+d²)=1/n²

  • Option C

    x/d=n

  • Option D

    d/√(x²+d²)=1/n

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• MCQmediumProperties of solid and fluidviscosity and terminal velocity

  N identical spherical drops, each of radius r, fall through the same viscous medium with terminal speed v. They coalesce completely into one spherical drop of the same material. Assuming Stokes' law remains valid, what is the terminal speed of the new drop?

  Options

  • Option A

    v∛N

  • Option B

    v(∛N)²

  • Option C

    Nv

  • Option D

    v/N

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• MatchmediumMathematical tools and vectorDifferentiation

  Match List I with List II and choose the correct option.

  List 1

  1. √(sin x)

  2. 1/√(sin x)

  3. √(log x)

  4. 1/√(log x)

  List 2

  1. 1/[2x√(log x)]

  2. -cos x/[2(sin x)³ᐟ²]

  3. cos x/[2√(sin x)]

  4. -1/[2x(log x)³ᐟ²]

  Options

  • Option A

    P-3, Q-2, R-1, S-4

  • Option B

    P-1, Q-2, R-3, S-4

  • Option C

    P-2, Q-4, R-1, S-3

  • Option D

    P-3, Q-1, R-4, S-2

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• IntegermediumMathematical tools and vectorLogarithm Function

  Evaluate (log₂5)(log₅4).

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• NumericeasyFluid Mechanicspascal law and buoyant force

  A uniform cube of side 10 cm and density 600 kg/m³ floats in water of density 1000 kg/m³. Its submerged height is N cm. Find N.

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• MCQeasyUnit dimension and errorsignificant number

  A calculated result is 200, and it must be reported with exactly 3 significant figures. Which final representation is best?

  Options

  • Option A

    200

  • Option B

    2 × 10²

  • Option C

    2.0 × 10²

  • Option D

    2.00 × 10²

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• IntegereasyMathematical tools and vectorLogarithm Function

  Evaluate log₅125 - log₅5.

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