JEE Advanced 2016 physics questions with solutions

Showing 1–10 of 26 questions

• Multi-correctmediumElectromagnetic Induction

  A right-angled isosceles triangular conducting loop of height 10 cm is placed with its 90° vertex very close to an insulated infinitely long wire, with hypotenuse parallel to the wire. Current in the loop is counterclockwise and increases at 10 A s⁻¹. Select the correct statements.

  

  Select all that apply

  • Option A

    The induced current in the wire is opposite to the current along the hypotenuse.

  • Option B

    There is a repulsive force between the wire and the loop.

  • Option C

    If the loop is rotated at constant angular speed about the wire, an additional emf µ₀/π volt is induced in the wire.

  • Option D

    The magnitude of induced emf in the wire is µ₀/π volt.

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• Multi-correctdifficultGeometrical opticsapperant depth and shift due to slab

  A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n₁ and n₂ (> n₁), as shown in the figure. A ray of light is incident with angle $\theta_{i}$ from medium 1 and emerges in medium 2 with refraction angle $\theta_{f}$ with a lateral displacement λ. Which of the following statement(s) is(are) true?

  

  Select all that apply

  • Option A

    λ is independent of n₂

  • Option B

    λ is dependent on n(z)

  • Option C

    n₁ sin $\theta_{i}$= (n₂ - n₁) sin $\theta_{f}$

  • Option D

    $n_1sin\theta_{i}$= n₂ sin $\theta_{f}$

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• MCQmediumCurrent electricityElectric Current, Drift Velocity & Resistance

  An infinite line charge of uniform electric charge density λ lies along the axis of an electrically conducting infinite cylindrical shell of radius R. At time t = 0, the space inside the cylinder is filled with a material of permittivity ε and electrical conductivity σ. The electrical conduction in the material follows Ohm's law. Which one of the following graphs best describes the subsequent variation of the magnitude of current density j (t) at any point in the material?

  Options

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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• MCQdifficultGeometrical opticsprism and thin prism

  A parallel beam of light is incident from air at an angle α on side PQ of a right-angled triangular prism of refractive index n = √2. Light undergoes total internal reflection at face PR when α has a minimum value of 45°. The angle θ of the prism is:

  

  Options

  • Option A

    15°

  • Option B

    22.5°

  • Option C

    30°

  • Option D

    45°

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• ParagraphmediumCircular Motioncentripital force and centrifugal force

  A disc rotates with constant angular velocity ω. In the rotating frame, $F_{rot}$ = Fᵢₙ + 2m($V_{rot}$× $\vec{\omega}$) + m($\vec{\omega}$ × $\vec{r}$) × $\vec{\omega}$. A smooth radial slot is cut in a disc of radius R rotating counter-clockwise about the vertical z-axis. A small block of mass m is placed at $\vec{r}$ = (R/2)î at t = 0 and can move only along the slot.

  

  Sub-question 1

  The distance r of the block at time t is:

  Options

  • Option A

    (R/4)[$e^(2ωt)+e^(-2ωt)]$

  • Option B

    (R/2)cos(2ωt)

  • Option C

    (R/2)cos(ωt)

  • Option D

    (R/4)[$e^(ωt)+e^(-ωt)]$

  Sub-question 2

  The net reaction of the disc on the block is:

  Options

  • Option A

    -mω²R cos(ωt) ĵ - mg k̂

  • Option B

    mω²R sin(ωt) ĵ - mg k̂

  • Option C

    (mω²R/2)[$e^(ωt)-e^(-ωt)]$ ĵ + mg k̂

  • Option D

    (mω²R/2)[$e^(2ωt)-e^(-2ωt)]$ ĵ + mg k̂

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• Multi-correctmediumCurrent electricityElectrical Instruments: Galvanometer, Ammeter, Voltmeter & Potentiometer

  Consider two identical galvanometers and two identical resistors with resistance R. If the internal resistance of the galvanometers RC < R/2, which of the following statement(s) about any one of the galvanometers is(are) true?

  Select all that apply

  • Option A

    The maximum voltage range is obtained when all the components are connected in series.

  • Option B

    The maximum voltage range is obtained when the two resistors and one galvanometer are connected in series, and the second galvanometer is connected in parallel to the first galvanometer.

  • Option C

    The maximum current range is obtained when all the components are connected in parallel.

  • Option D

    The maximum current range is obtained when the two galvanometers are connected in series and the combination is connected in parallel with both the resistors.

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• MCQmediumNuclear physics

  The electrostatic energy of Z protons uniformly distributed in a spherical nucleus of radius R is E = 3Z(Z-1)e²/(20πε₀R). The measured masses are mₙ=1.008665 u, m(¹H)=1.007825 u, m(¹⁵₇N)=15.00010⁹ u and m(¹⁵₈O)=15.003065 u. Assuming the binding-energy difference between ¹⁵N and ¹⁵O is purely electrostatic, find the common nuclear radius. Use e²/(4πε₀)=1.44 MeV·fm.

  Options

  • Option A

    2.85 fm

  • Option B

    3.03 fm

  • Option C

    3.42 fm

  • Option D

    3.80 fm

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• NumericmediumNuclear physics

  The isotope ¹²₅B of mass 12.014 u undergoes β⁻ decay to an excited state ¹²₆C* lying 4.041 MeV above the ¹²₆C ground state. Given m(¹²₆C)=12.000 u and 1u=931.5 MeV c⁻², find the maximum β-particle kinetic energy in MeV.

  Your answer

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• ParagraphmediumCircular Motioncentripital force and centrifugal force

  A smooth slot lies along a diameter of a horizontal disc of radius R rotating counter-clockwise with constant angular speed ω. A small block of mass m is gently placed at r=R/2 in the slot at t=0 and is constrained to move only along the slot.

  

  Sub-question 1

  A smooth radial slot lies along a diameter of a disc of radius R rotating counter-clockwise with constant angular speed ω. A small block is gently placed at r=R/2 in the slot at t=0 and is constrained to move along the slot. Its distance r from the centre at time t is:

  Options

  • Option A

    $\frac{R}{4}$($e^{2\omega t}+e^{-2\omega t}$)

  • Option B

    (R/2)cos(2ωt)

  • Option C

    (R/2)cos(ωt)

  • Option D

    $\frac{R}{4}$$\left(e^{\omega t}+e^{-\omega t}\right)$

  Sub-question 2

  For the same rotating-disc slot system, the net reaction of the disc on the block is:

  Options

  • Option A

    -mω²R cos(ωt)ĵ-mgk̂

  • Option B

    mω²R sin(ωt)ĵ-mgk̂

  • Option C

    ½mω²R[$e^{\omega t}-e^{-\omega t}$]$\hat{j}$ + mg$\hat{k}$

  • Option D

    ½mω²R[$e^{2\omega t}-e^{-2\omega t}$]$\hat{j}$ + mg$\hat{k}$

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• MCQmediumThermodynamics

  A gas initially at P₁=10⁵ Pa and V₁=10⁻³ m³ reaches P₂=(1/32)×10⁵ Pa and V₂=8×10⁻³ m³ through a quasi-static adiabatic process satisfying P³V⁵=constant. Another path reaches the same final state by an isobaric expansion at P₁, followed by an isochoric process at V₂. The heat supplied in this two-step path is approximately:

  Options

  • Option A

    112 J

  • Option B

    294 J

  • Option C

    588 J

  • Option D

    813 J

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