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Day 349: JEE Mains Physics

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

  1. Question 1

    Oscillations. Asked once: 2021 Paper 19 (same type asked 5 times) See all 5 of this type

    26
    Two simple harmonic motions are represented by the equations x1=5sin⁡(2πt+π4)x_{1}= 5\sin\left( 2\pi t +\frac{\pi}{4} \right) and x2=52(sin⁡2πt+cos⁡2πt)x_{2}= 5\sqrt{2}(\sin2\pi t + \cos2\pi t). The amplitude of second motion is ______ times the amplitude in first motion.

  2. Question 2

    Mechanical Properties of Solids. Asked once: 2021 Paper 22 (same type asked 5 times) See all 5 of this type

    21
    When a rubber ball is taken to a depth of ___ m in deep sea, its volume decreases by 0.5%0.5\%. (The bulk modulus of rubber =9.8×108Nm−2= 9.8 \times10^{8}Nm^{- 2} Density of sea water =103kgm−3=10^{3}kgm^{- 3} g=9.8 m/s2g = 9.8\text{ }m/s^{2} )

  3. Question 3

    System of Particles and Rotational Motion. Asked once: 29 Jul 2022 (same type asked 5 times) See all 5 of this type

    106
    The torque of a force 5i^+3j^−7k^5\widehat{i}+ 3\widehat{j}- 7\widehat{k} about the origin is τ\tau. If the force acts on a particle whose position vector is 2i^+2j^+k^2\widehat{i}+ 2\widehat{j}+\widehat{k}, then the value of τ\tau will be :

    Tap an option to check your answer.

  4. Question 4

    System of Particles and Rotational Motion. Asked once: 29 Jan 2024 (same type asked 5 times) See all 5 of this type

    24
    A cylinder is rolling down on an inclined plane of inclination 60∘60^{\circ}. It's acceleration during rolling down will be x3 m/s2\frac{x}{\sqrt{3}}\text{ }m/s^{2}, where x=x = . _______ (use g=10 m/s2g = 10\text{ }m/s^{2} ).

  5. Question 5

    Nuclei. Asked once: 14 Jun 2022 (same type asked 5 times) See all 5 of this type

    116
    A sample contains 10−2 kg10^{- 2}\text{ }kg each of two substances AA and BB with half lives 4 s4\text{ }s and 8 s8\text{ }s respectively. The ratio of then atomic weights is 1:21:2. The ratio of the amounts of A and B after 16 s16\text{ }s is x100\frac{x}{100}. the value of xx is