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Day 168: JEE Mains Physics

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

  1. Question 1

    Oscillations. Asked once: 10 Apr 2023 (same type asked 5 times) See all 5 of this type

    104
    For a periodic motion represented by the equation Y=sin⁡ωt+cos⁡ωtY = \sin\omega t + \cos\omega t The amplitude of the motion is

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  2. Question 2

    Mechanical Properties of Solids. Asked once: 31 Jan 2024 (same type asked 5 times) See all 5 of this type

    28
    The depth below the surface of sea to which a rubber ball be taken so as to decrease its volume by 0.02%0.02\% is  ______m\ \_\_\_\_\_\_ m. (Take density of sea water =103kgm−3=10^{3}kgm^{- 3}, Bulk modulus of rubber =9×108Nm−2= 9 \times10^{8}Nm^{- 2}, and g=10 ms−2g = 10{\text{ }ms}^{- 2} )

  3. Question 3

    System of Particles and Rotational Motion. Asked once: 22 Jan 2025 (same type asked 5 times) See all 5 of this type

    87
    The torque due to the force (2i^+j^+2k^)(2\widehat{i}+\widehat{j}+ 2\widehat{k}) about the origin, acting on a particle whose position vector is (i^+j^+k^)(\widehat{i}+\widehat{j}+\widehat{k}), would be

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  4. Question 4

    System of Particles and Rotational Motion. Asked once: 23 Jan 2025 (same type asked 5 times) See all 5 of this type

    14
    A solid sphere of mass ' m ' and radius ' rr ' is allowed to roll without slipping from the highest point of an inclined plane of length ' LL ' and makes an angle 30∘30^{\circ} with the horizontal. The speed of the particle at the bottom of the plane is v1v_{1}. If the angle of inclination is increased to 45∘45^{\circ} while keeping L constant. Then the new speed of the sphere at the bottom of the plane is v2v_{2}. The ratio of v1 2:v2 2v_{1}\ ^{2}:v_{2}\ ^{2} is

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  5. Question 5

    Nuclei. Asked once: 29 Jan 2023 (same type asked 5 times) See all 5 of this type

    91
    Substance AA has atomic mass number 16 and half-life of 1 day. Another substance BB has atomic mass number 32 and half life of 12\frac{1}{2} day. If both AA and BB simultaneously start undergo radio activity at the same time with initial mass 320 g320\text{ }g each, how many total atoms of A and B combined would be left after 2 days.

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