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Day 57: JEE Mains Physics

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

  1. Question 1

    Alternating Current. Asked 3 times: 2021 Paper 9, 2021 Paper 15*, 14 Jun 2022 (* = numbers or wording changed that year) See all 3 times it was asked

    11
    A resistance of 40Ω40\Omega is connected to a source of alternating current rated 220 V,50 Hz220\text{ }V,50\text{ }Hz. Find the time taken by the current to change from its maximum value to rms value:

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  2. Question 2

    Electrostatics. This type asked 3 times: 26 Jul 2022, 13 Apr 2023, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 3 of this type

    16
    Two point charges q1=3μCq_{1}= 3\mu C and q2=−4μCq_{2}= - 4\mu C are placed at points (2i^+3j^+3k^)(2\widehat{i}+ 3\widehat{j}+ 3\widehat{k}) and (i^+j^+k^)(\widehat{i}+\widehat{j}+\widehat{k}) respectively. Force on charge q2q_{2} is ____\_\_\_\_ N. (Take 14πϵ0=9×109\frac{1}{4\pi\epsilon_{0}}= 9 \times10^{9} SI Units)

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  3. Question 3

    Moving Charges and Magnetism. This type asked 3 times: 6 Apr 2023, 8 Apr 2023, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 3 of this type

    23
    A 5 mg particle carrying a charge of 5π×10−6C5\pi \times 10^{- 6}C is moving with velocity of (3i^+2k^)×10−2 m/s(3\widehat{i} + 2\widehat{k}) \times 10^{- 2}\text{ }m/s in a region having magnetic field B→=0.1k^Wb/m2\overrightarrow{B} = 0.1\widehat{k}Wb/m^{2}. It moves a distance of α\alpha meter along k^\widehat{k} when it completes 5 revolutions. The value of α\alpha is ____\_\_\_\_ .

  4. Question 4

    Moving Charges and Magnetism. This type asked 3 times: 2021 Paper 19, 4 Apr 2026 S2, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 3 of this type

    14
    A current carrying circular loop of radius 2 cm with unit normal n^=k^+i^2\widehat{n}=\frac{\widehat{k}+\widehat{i}}{\sqrt{2}} is placed in a magnetic field, B→=B0(3i^+2k^)\overrightarrow{B}=B_{0}(3\widehat{i}+ 2\widehat{k}). If B0=4×10−3 TB_{0}= 4 \times10^{- 3}\text{ }T and current =1002 A= 100\sqrt{2}\text{ }A, the torque experienced by the loop is ____\_\_\_\_ Wb.A. (π=3.14)(\pi= 3.14)

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  5. Question 5

    Oscillations. This type asked 3 times: 2021 Paper 25, 24 Jan 2026 S1, 8 Apr 2026 S2. This one: 8 Apr 2026 S2 See all 3 of this type

    12
    The frequency of oscillation of a mass m suspended by spring is v1v_{1}. If the length of the spring is cut to half, the same mass oscillates with frequency v2v_{2}. The value of v2v1\frac{v_{2}}{v_{1}} is ____\_\_\_\_ .

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