JEE Advanced 2014 physics questions with solutions

Showing 1–10 of 25 questions

• MCQmediumThermodynamics

  Parallel rays of light of intensity I = 912 W m⁻² are incident on a spherical black body kept in surroundings of temperature 300 K. Take Stefan-Boltzmann constant σ = 5.7 ×10⁻⁸ W m⁻² K⁻⁴ and assume that the energy exchange with the surroundings is only through radiation. The final steady state temperature of the black body is close to :-

  Options

  • Option A

    330 K

  • Option B

    660 K

  • Option C

    990 K

  • Option D

    1550 K

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

  Airplanes A and B are flying with constant velocity in the same vertical plane at angles 30° and 60° with respect to the horizontal respectively as shown in figure. The speed of A is 100√3 ms⁻¹. At time t = 0 s, an observer in A finds B at a distance of 500 m. This observer sees B moving with a constant velocity perpendicular to the line of motion of A. If at t = t₀, A just escapes being hit by B, t₀ in seconds is:

  

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• Multi-correctmediumWave Motion

  A taut string of length 3 m lies along the x-axis and is fixed at x = 0. Wave speed is 100 m s⁻¹. The other end is driven transversely so that stationary waves are established. Which waveform(s) are possible?

  Select all that apply

  • Option A

    y(t) = A sin(πx/6) cos(50πt/3)

  • Option B

    y(t) = A sin(πx/3) cos(100πt/3)

  • Option C

    y(t) = A sin(5πx/6) cos(250πt/3)

  • Option D

    y(t) = A sin(5πx/2) cos(250πt)

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• MCQmediumGravitationAcceleration Due to Gravity & Escape Velocity

  A planet has radius R = (1/10)Rₑ and the same mean density as Earth. A well of depth R/5 is dug in it, and a wire of the same length with linear mass density 10⁻³ kg m⁻¹ is lowered into the well without touching its sides. Find the force applied at the top of the wire to hold it. Take Rₑ = 6 × 10⁶ m and Earth's surface g = 10 m s⁻².

  Options

  • Option A

    96 N

  • Option B

    108 N

  • Option C

    120 N

  • Option D

    150 N

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• MCQdifficultGeometrical opticsapperant depth and shift due to slab

  A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immersed in a lower refractive index liquid as shown in the figure. It is found that the light emerging from the block to the liquid forms a circular bright spot of diameter 11.54 mm on the top of the block. The refractive index of the liquid is:-

  

  Options

  • Option A

    1.21

  • Option B

    1.30

  • Option C

    1.36

  • Option D

    1.42

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• MCQmediumElectrostatic

  Charges Q, 2Q and 4Q are uniformly distributed in three dielectric solid spheres 1, 2 and 3 of radii R/2, R and 2R, respectively. If the electric fields at a point P situated a distance R from the centre of the three spheres are E₁, E₂ and E₃, respectively, compare E₁, E₂ and E₃.

  

  Options

  • Option A

    E₁ > E₂ > E₃

  • Option B

    E₃ > E₁ > E₂

  • Option C

    E₂ > E₁ > E₃

  • Option D

    E₃ > E₂ > E₁

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• MCQmediumWave Motion

  A resonance column uses a tuning fork of frequency 244 s⁻¹. The tube contains an unknown gas. The minimum resonant height is (0.350 ± 0.005) m. Useful data: √(167RT) = 640 J¹ᐟ² mol⁻¹ᐟ² and √(140RT) = 590 J¹ᐟ² mol⁻¹ᐟ². Identify the gas.

  Options

  • Option A

    Neon: M = 20, √(10/20) = 7/10

  • Option B

    Nitrogen: M = 28, √(10/28) = 3/5

  • Option C

    Oxygen: M = 32, √(10/32) = 9/16

  • Option D

    Argon: M = 36, √(10/36) = 17/32

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• MCQmediumElectrostatic

  Let E₁(r), E₂(r) and E₃(r) be the respective electric fields at a distance r from a point charge Q, an infinitely long wire with constant linear charge density λ, and an infinite plane with uniform surface charge density σ. If E₁(r₀) = E₂(r₀) = E₃(r₀) at a given distance r₀, then :-

  Options

  • Option A

    $Q=4\sigma\pi r_{\omicron^{}}^2$

  • Option B

    $r_{\omicron}=\frac{\lambda}{2\pi\sigma}$

  • Option C

    $E_1\left(\frac{r_{\omicron}}{2}\right)=2E_2\left(\frac{r_{\omicron}}{2}\right)$

  • Option D

    $E_2\left(\frac{r_{\omicron}}{2}\right)=4E_3\left(\frac{r_{\omicron}}{2}\right)$

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• NumericmediumUnit dimension and error

  During Searle's experiment, zero of the Vernier scale lies between 3.20 × 10⁻² m and 3.25 × 10⁻² m of the main scale. The 20th division of the Vernier scale exactly coincides with one of the main scale divisions. When an additional load of 2 kg is applied to the wire, the zero of the Vernier scale still lies between 3.20 × 10⁻² m and 3.25 × 10⁻² m of the main scale but now the 45th division of Vernier scale coincides with one of the main scale divisions. The length of the thin metallic wire is 2 m and its cross-sectional area is 8 × 10⁻⁷ m² . The least count of the Vernier scale is 1.0 × 10⁻⁵m. The maximum percentage error in the Young's modulus of the wire is

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• Multi-correctmediumCurrent electricityCircuit Theory & Kirchhoff’s Laws

  Two ideal batteries of emf V₁ and V₂ and three resistances R₁, R₂ and R₃ are connected as shown in the figure. The current in resistance R₂ would be zero if

  

  Select all that apply

  • Option A

    V₁ = V₂ and R₁ = R₂ = R₃

  • Option B

    V₁ = V₂ and R₁ = 2R₂ = R₃

  • Option C

    V₁ = 2V₂ and 2R₁ = 2R₂ = R₃

  • Option D

    2V₁ = V₂ and 2R₁ = R₂ = R₃

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