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Day 61: JEE Mains Physics

5 questions. Try each one first, then open its answer.

  1. Question 1

    Mechanical Properties of Solids. This type asked 3 times: 2021 Paper 14, 27 Jul 2022, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 3 of this type

    9
    A string A of length 0.314 m of Young's modulus 2×1010 N/m22 \times10^{10}\text{ }N/m^{2} is connected to another string B of length and Young's modulus both twice of those of A. This series combination of strings is then suspended from a rigid support and its free end is fixed to a load of mass 0.8 kg . The net change in length of the combination is ____\_\_\_\_ mm . (radius of both the strings is 0.2 mm and acceleration due to gravity =10 m/s2= 10\text{ }m/s^{2} ) (Mass of both strings is to be neglected as compared to the mass of load)

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  2. Question 2

    Moving Charges and Magnetism. This type asked 3 times: 15 Apr 2023, 1 Feb 2024, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 3 of this type

    12
    A voltmeter with internal resistance of xΩx\Omega can be used to measure upto 20 V . In order to increase its measuring range to 30 V , the required modification is to ____\_\_\_\_ .

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  3. Question 3

    Work, Energy and Power. This type asked 3 times: 1 Feb 2023, 22 Jan 2025, 4 Apr 2026 S1. This one: 4 Apr 2026 S1 See all 3 of this type

    21
    A 1 kg block subjected to two simultaneous forces (2i^+3j^+4k^)N(2\widehat{i} + 3\widehat{j} + 4\widehat{k})N and (3i^−j^−2k^)N(3\widehat{i} - \widehat{j} - 2\widehat{k})N is moved a distance of 25 m along (3i^−4j^)(3\widehat{i} - 4\widehat{j}) direction. The work done in this process is ____\_\_\_\_ J.

  4. Question 4

    Electrostatics. This type asked 3 times: 2021 Paper 9, 14 Jun 2022, 2 Apr 2026 S2. This one: 2 Apr 2026 S2 See all 3 of this type

    14
    Two metal plates ( A,BA,B ) are kept horizontally with separation of (12π)cm\left( \frac{12}{\pi} \right)cm, with plate A on the top. An atomizer jet sprays oil (density 1.5 g/cm31.5\text{ }g/cm^{3} ) droplets of radius 1 mm horizontally. All oil droplets carry a charge 5 nC . The potentials VAV_{A} and VBV_{B} are required on plates A and B respectively in order to ensure the droplets do not descend. The values of VAV_{A} and VBV_{B} are ____\_\_\_\_ . (Neglect the air resistance to the droplets and take g=10 m/s2g = 10\text{ }m/s^{2} )

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  5. Question 5

    System of Particles and Rotational Motion. This type asked 3 times: 28 Jun 2022, 23 Jan 2025, 2 Apr 2026 S1. This one: 2 Apr 2026 S1 See all 3 of this type

    6
    A particle is rotating in a circular path and at any instant its motion can be described as θ=5t440−t33\theta=\frac{5t^{4}}{40}-\frac{t^{3}}{3}. The angular acceleration of the particle after 10 seconds is ____\_\_\_\_ rad/s2rad/s^{2}.

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