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Day 55: JEE Mains Physics

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

  1. Question 1

    Units and Measurements. Asked 3 times: 29 Jun 2022*, 13 Apr 2023*, 5 Apr 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    101
    What is the dimensional formula of ab−1ab^{- 1} in the equation (P+aV2)(V−b)=RT\left( P +\frac{a}{V^{2}} \right)(V - b) = RT, where letters have their usual meaning.

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  2. Question 2

    Electromagnetic Induction. Asked 3 times: 2021 Paper 22*, 25 Jul 2022*, 31 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    27
    A small square loop of wire of side ll is placed inside a large square loop of wire of side LL (L=l2)\left( L = l^{2} \right). The loops are coplanar and their centers coincide. The value of the mutual inductance of the system is x×10−7H\sqrt{x}\times10^{- 7}H, where x=x = _____ .

  3. Question 3

    Ray Optics. Asked 3 times: 28 Jun 2022, 27 Jan 2024, 31 Jan 2024 See all 3 times it was asked

    4
    The refractive index of a prism with apex angle A is cot⁡A/2\cot A/2. The angle of minimum deviation is:

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  4. Question 4

    System of Particles and Rotational Motion. Asked 3 times: 2021 Paper 23*, 6 Apr 2023*, 31 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    118
    Two identical spheres each of mass 2 kg2\text{ }kg and radius 50 cm50\text{ }cm are fixed at the ends of a light rod so that the separation between the centers is 50 cm50\text{ }cm. Then, moment of inertia of the system about an axis perpendicular to the rod and passing through its middle point is x20 kg m2\frac{x}{20}\text{ }kg{\text{ }m}^{2}, where the value of xx is_____

  5. Question 5

    Current Electricity. Asked 3 times: 2021 Paper 24*, 13 Apr 2023*, 30 Jan 2024 (* = numbers or wording changed that year) See all 3 times it was asked

    108
    When a potential difference VV is applied across a wire of resistance RR, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:

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