JEE Advanced 2016 physics questions with solutions

Showing 1–10 of 26 questions

• MCQmediumUnit dimension and error

  There are two vernier calipers both of which have 1 cm divided into 10 equal divisions on the main scale. The Vernier scale of one of the calipers (C₁) has 10 equal divisions that correspond to 9 main scale divisions. The Vernier scale of the other caliper (C₂) has 10 equal divisions that correspond to 11 main scale divisions. The readings of the two calipers are shown in the figure. The measured values (in cm) by calipers C₁ and C₂ respectively, are 2 3 4 C₁ 5 0 10 2 3 4 C₂ 5 0 10

  Options

  • Option A

    2.87 and 2.86

  • Option B

    2.87 and 2.87

  • Option C

    2.87 and 2.83

  • Option D

    2.85 and 2.82

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• MCQmediumThermodynamics

  A water cooler of storage capacity 120 litres can cool water at constant rate of P watts. In a closed circulation system (as shown schematically in the figure), the water from the cooler is used to cool an external device that generates constantly 3 kW of heat (thermal load). The temperature of water fed into the device cannot exceed 30°C and the entire stored 120 litres of water is initially cooled to 10°C. The entire system is thermally insulated. The minimum value of P (in watts) for which the device can be operated for 3 hours is : (Specific heat of water is 4.2 kJ kg⁻¹ K⁻¹ and the density of water is 1000 kg m⁻³)

  

  Options

  • Option A

    1600

  • Option B

    2067

  • Option C

    2533

  • Option D

    3933

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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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• Multi-correcteasyWave Motion

  Two loudspeakers M and N are 20 m apart and emit 118 Hz and 121 Hz. A car moves along the perpendicular bisector from P through midpoint Q to R at 60 km h⁻¹; P and R are each 1800 m from Q. Let ν(t) be the beat frequency in the car. Compare the beat frequencies at P, Q and R as indicated in the options. Take sound speed = 330 m s⁻¹.

  Select all that apply

  • Option A

    
  • Option B

    
  • Option C

    The rate of change in beat frequency is maximum when the car passes through Q

  • Option D

    vP + vR = 2vQ

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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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• 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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• Multi-correctmediumSimple Harmonic Motion

  A block M on a frictionless surface oscillates with small amplitude A about equilibrium x₀. A particle m<M is softly placed on it and sticks, in two cases: (i) at x₀; (ii) at x₀+A. Which statements are true?

  Select all that apply

  • Option A

    In case (i) amplitude changes by √(M/(m+M)); in case (ii) it is unchanged

  • Option B

    Final period is the same in both cases

  • Option C

    Total energy decreases in both cases

  • Option D

    Instantaneous speed at x₀ of the combined mass decreases in both cases

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• Multi-correctmediumWave Optics

  Two coherent point sources S₁ and S₂ of wavelength 600 nm are placed in the x-y plane as shown, while the screen is parallel to the x-z plane at D=3 m. Source separation is d=0.6003 mm. Which statements about the screen intensity pattern are correct?

  

  Select all that apply

  • Option A

    Hyperbolic bright and dark bands with foci symmetrically placed about O along x.

  • Option B

    Semicircular bright and dark bands centred at O.

  • Option C

    The region very close to O is dark.

  • Option D

    Straight bright and dark bands parallel to the x-axis.

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• Multi-correctmediumElectromagnetic Induction

  A rigid square wire loop of side L and resistance R moves along +x with initial speed v₀. At t=0 its right edge enters a magnetic-field region of length 3L with uniform B₀ into the page. Let x be the position of the right edge. Which schematic plot(s) of v(x), I(x) and F(x) are correct? Counterclockwise current is positive.

  

  Select all that apply

  • Option A

    
  • Option B

    
  • Option C

    
  • Option D

    

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