JEE Advanced 2019 physics questions with solutions

Showing 1–10 of 26 questions

• Multi-correctdifficultGeometrical opticsrefraction due to curved surface

  Three glass cylinders of equal height H = 30 cm and same refractive index n = 1.5 are placed on a horizontal surfaces shown in figure. Cylinder I has a flat top, cylinder II has a convex top and cylinder III has a concave top. The radii of curvature of the two curved tops are same (R = 3 m). If H₁, H₂ and H₃ are the apparent depths of a point X on the bottom of the three cylinders, respectively, the correct statement(s) is/are:

  

  Select all that apply

  • Option A

    H₃ > H₁

  • Option B

    0.8 cm < (H₂ - H₁) < 0.9 cm

  • Option C

    H₂ > H₃

  • Option D

    H₂ > H₁

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• NumericmediumProperties of solid and fluid

  A 100 N block is suspended by copper and steel wires of equal cross-sectional area 0.5 cm². Their lengths are √3 m and 1 m, and they make angles 30° and 60° with the ceiling. Let Δl₁ and Δl₂ be the elongations of the copper and steel wires. Take Y₁=1×10¹¹ N m⁻² for copper and Y₂=2×10¹¹ N m⁻² for steel. Find Δl₁/Δl₂.

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• NumericmediumWork , Power and Energyconservative force and potential energy

  1. A particle is moved around the closed path AB-BC-CD-DE-EF-FA shown, under $\vec{F}$=(αy î+2αx ĵ) N with α=-1 N m⁻¹. Find the work done in joules.

     

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• NumericmediumNuclear physics

  A ²²⁶₈₈Ra nucleus at rest undergoes α-decay to excited ²²²₈₆Rn. The α-particle kinetic energy is 4.44 MeV. The daughter then emits a γ photon to reach its ground state. Given m(²²⁶Ra)=226.005u, m(²²²Rn)=222.000u, mα=4.000u and 1u=931 MeV c⁻², find the γ energy in keV.

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• MCQdifficultGeometrical opticsprism and thin prism

  A monochromatic light is incident from air on a refracting surface of a prism of angle 75° and refractive index n₀ = √3. The other refracting surface of the prism is coated by a thin film of material of refractive index n, as shown in the figure. The light suffers total internal reflection at the coated prism surface for an incidence angle θ ≤ 60°. The value of n² is:

  

  Options

  • Option A

    0.75

  • Option B

    3

  • Option C

    1.5

  • Option D

    2.5

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• Multi-correctdifficultGeometrical opticslens and combination lens,silvered lens

  A thin convex lens is made of two materials with refractive indices n₁ and n₂, as shown in the figure. The radii of curvature of the left and right spherical surfaces are equal.

  f is the focal length of the lens when n₁ = n₂ = n.

  The focal length is f + Δf when n₁ = n and n₂ = n + Δn.

  Assuming 0 < Δn ≪ (n − 1) and 1 < n < 2, the correct statement(s) is/are:

  

  Select all that apply

  • Option A

    The relation between f f and n n remains unchanged if both the convex surfaces are replaced by concave surfaces of the same radius of curvature.

  • Option B

    f n f n

  • Option C

    For n = 1.5, n = 10⁻³ and f = 20 cm, the value of |f| will be 0.02 cm (round off to 2nd decimal place)

  • Option D

    If 0 n n then 0 f f

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• Multi-correctmediumCapacitor

  In the shown circuit, capacitors are initially uncharged and switches S₁ and S₂ are open. C₁ = 10 µF, C₂ = 30 µF and C₃ = C₄ = 80 µF. Select the correct statements.

  

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  • Option A

    S₁ is kept closed for a long time so the capacitors are fully charged. If S₂ is then closed, the instantaneous current through the 30 Ω resistor between P and Q is 0.2 A.

  • Option B

    If S₁ is kept closed for a long time, the potential difference between P and Q is 10 V.

  • Option C

    At t = 0, when S₁ is closed, the instantaneous current in the closed circuit is 25 mA.

  • Option D

    If S₁ is kept closed for a long time, the voltage across C₁ is 4 V.

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

  Two identical moving coil galvanometer have 10 Ω resistance and full scale deflection at 2 µA current. One of them is converted into a voltmeter of 100 mV full scale reading and the other into an Ammeter of 1 mA full scale current using appropriate resistors. These are then used to measure the voltage and current in the Ohm's law experiment with R = 1000 Ω resistor by using an ideal cell. Which of the following statement(s) is/are correct?

  Select all that apply

  • Option A

    The measured value of R will be 978Ω < R < 982Ω.

  • Option B

    The resistance of the Voltmeter will be 100 kΩ.

  • Option C

    The resistance of the Ammeter will be 0.02Ω ( round off to 2nd decimal place)

  • Option D

    If the ideal cell is replaced by a cell having internal resistance of 5Ω then the measured value of R will be more than 1000 Ω.

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• NumericmediumUnit dimension and error

  An optical bench has 1.5 m long scale having four equal divisions in each cm. While measuring the focal length of a convex lens, the lens is kept at 75 cm mark of the scale and the object pin is kept at 45 cm mark. The image of the object pin on the other side of the lens overlaps with image pin that is kept at 135 cm mark. In this experiment, the percentage error in the measurement of the focal length of the lens is.

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• Multi-correctmediumWave Optics

  In a Young's double-slit experiment, d=0.3 mm and D=1 m. A parallel beam of wavelength 600 nm is incident at angle α as shown. Point O is equidistant from the slits and PO=11.0 mm. Choose the correct statement(s).

  

  Select all that apply

  • Option A

    For α=(0.36/π)°, there is destructive interference at O.

  • Option B

    Fringe spacing depends on α.

  • Option C

    For α=(0.36/π)°, there is destructive interference at P.

  • Option D

    For α=0, there is constructive interference at P.

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