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Day 201: JEE Mains Physics

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

  1. Question 1

    Motion in a Plane. Asked once: 2 Apr 2025 (same type asked 3 times) See all 3 of this type

    6
    A river is flowing from west to east direction with speed of 9 km h−19\text{ }km{\text{ }h}^{- 1}. If a boat capable of moving at a maximum speed of 27 km h−127\text{ }km{\text{ }h}^{- 1} in still water, crosses the river in half a minute, while moving with maximum speed at an angle of 150∘150^{\circ} to direction of river flow, then the width of the river is :

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  2. Question 2

    System of Particles and Rotational Motion. Asked once: 29 Jan 2024 (same type asked 3 times) See all 3 of this type

    120
    A body of mass 5 kg5\text{ }kg moving with a uniform speed 32 ms−13\sqrt{2}{\text{ }ms}^{- 1} in X−YX - Y plane along the line y=x+4y = x + 4. The angular momentum of the particle about the origin will be _____ kg m2s−1kg\ m^{2}s^{- 1}.

  3. Question 3

    Thermal Properties of Matter. Asked once: 24 Jan 2023 (same type asked 3 times) See all 3 of this type

    28
    A hole is drilled in a metal sheet. At 27∘C27^{\circ}C, the diameter of hole is 5 cm5\text{ }cm. When the sheet is heated to 177∘C177^{\circ}C, the change in the diameter of hole is d×10−3 cmd \times10^{- 3}\text{ }cm. The value of dd will be __if coefficient of linear expansion of the metal is 1.6×10−5/ ∘C1.6 \times10^{- 5}/\ ^{\circ}C

  4. Question 4

    Electrostatics. Asked once: 8 Apr 2024 (same type asked 3 times) See all 3 of this type

    25
    An electric field, E→=2i^+6j^+8k^6\overrightarrow{E}=\frac{2\widehat{i}+ 6\widehat{j}+ 8\widehat{k}}{\sqrt{6}} passes through the surface of 4 m24{\text{ }m}^{2} area having unit vector n^=(2i^+j^+k^6)\widehat{n}=\left( \frac{2\widehat{i}+\widehat{j}+\widehat{k}}{\sqrt{6}} \right). The electric flux for that surface is _____ VV m.

  5. Question 5

    Magnetism and Matter. Asked once: 11 Apr 2023 (same type asked 3 times) See all 3 of this type

    13
    The free space inside a current carrying toroid is filled with a material of susceptibility 2×10−22 \times10^{- 2}. The percentage increase in the value of magnetic field inside the toroid will be

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