JEE Advanced 2014 physics questions with solutions

Showing 1–10 of 25 questions

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

  A galvanometer gives full-scale deflection at 0.006 A. With a 4990 Ω series resistance it becomes $a_0–30$ V voltmeter. If a resistance (2n/249) Ω is connected as a shunt, it becomes $a_0–1.5$ A ammeter. Find n.

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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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• 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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• 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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• 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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• MatchdifficultGeometrical opticslens and combination lens,silvered lens

  Four combinations of two thin lenses are given in List-I. The radius of curvature of all curved surfaces is r and the refractive index of all the lenses is 1.5. Match lens combinations in List-I with their focal length in List-II. Image

  List 1

  1. 

  2. 

  3. 

  4. 

  List 2

  1. (1) 2r

  2. (2) r/2

  3. (3) - r

  4. (4) r

  Options

  • Option A

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

  • Option B

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

  • Option C

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

  • Option D

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

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• MatchmediumElectrostatic

  Four charges Q₁, Q₂, Q₃ and Q₄ of equal magnitude are fixed on the x-axis at x=-2a, -a, +a and +2a. A positive charge q is placed at (0,b). Match the sign configurations in List I with the direction of force on q in List II.

  

  List 1

  1. (P) Q₁,Q₂,Q₃,Q₄ all positive

  2. (Q) Q₁,Q₂ positive; Q₃,Q₄ negative

  3. (R) Q₁,Q₄ positive; Q₂,Q₃ negative

  4. (S) Q₁,Q₃ positive; Q₂,Q₄ negative

  List 2

  1. (1) +x

  2. (2) -x

  3. (3) +y

  4. (4) -y

  Options

  • Option A

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

  • Option B

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

  • Option C

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

  • Option D

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

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• ParagraphmediumFluid Mechanics

  A spray gun has a piston of radius 20 mm and an air nozzle of radius 1 mm. The piston drives air through the nozzle; a side tube dips into a liquid container open to atmosphere, so the high-speed air entrains and sprays the liquid. Image

  Sub-question 1

  If the piston is pushed at a speed of 5 mm s⁻¹, the air comes out of the nozzle with a speed of

  Options

  • Option A

    0.1 m s⁻¹

  • Option B

    1 m s⁻¹

  • Option C

    2 m s⁻¹

  • Option D

    8 m s⁻¹

  Sub-question 2

  If the density of air is ρa and that of the liquid ρλ, then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to

  Options

  • Option A

    √(ρₐ/ρₗ)

  • Option B

    √(ρₐρₗ)

  • Option C

    √(ρₗ/ρₐ)

  • Option D

    ρₗ

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• Multi-correctmediumCapacitor

  A parallel-plate capacitor has a dielectric slab of dielectric constant K covering one-third of the plate area, as shown. The total capacitance is C and the capacitance of the dielectric-covered portion is C₁. When charged, charges Q₁ and Q₂ appear on the dielectric-covered and air-filled portions respectively. Choose the correct option(s), ignoring edge effects.

  

  Select all that apply

  • Option A

    E₁/E₂ = 1

  • Option B

    E₁/E₂ = 1/K

  • Option C

    Q₁/Q₂ = 3/K

  • Option D

    C/C₁ = (K+2)/K

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• NumericmediumMagnetic effect of current

  Two parallel wires are X₀ apart. A charge moving between them is at distance X₁ from one wire, with X₀/X₁=3. Its path radius is R₁ when equal currents in the wires are in the same direction and R₂ when the currents are opposite. Find R₁/R₂.

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