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Mechanical Properties of Solids

MHT-CET Physics. Try each one first, then open its answer.

Top 7 MHT-CET PYQs to practise first

The questions and kinds of question asked most often come first. Each one says how often and in which papers.

  1. Question 1

    Asked 3 times: 15 May 2023 S2*, 13 May 2024 S2*, 13 May 2026 S2 (* = numbers or wording changed that year) See all 3 times it was asked

    104
    A spring has length ll and force constant kk. It is cut into 2 springs of length l1l_1 and l2l_2 such that l1=nl2l_1 = nl_2 (nn=an integer). The force constant of the spring of length l2l_2 is (k∝1l)\left(k \propto \dfrac{1}{l}\right)

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  2. Question 2

    Asked 2 times: May 2022 S1, 11 Apr 2026 S1 See all 2 times it was asked

    105
    Two massless springs of spring constants K1K_1 and K2K_2 are connected one after the other forming a single chain, suspended vertically and a certain mass is attached to the free end. If x1x_1 and x2x_2 are their respective extensions and 'F' is their stretching force, the total extension produced is

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  3. Question 3

    This type asked 2 times: 10 May 2024 S2, 15 May 2026 S2. This one: 15 May 2026 S2 See all 2 of this type

    106
    A sphere of mass 5050 gram is placed on a vertical spring. It is compressed by 0.40.4 m using a force 1010 N. When the spring is released the sphere will reach to a height of (g=10 m/s2)(g = 10\,m/s^2)

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  4. Question 4

    This type asked 2 times: 9 May 2023 S1, 19 Apr 2026 S1. This one: 19 Apr 2026 S1 See all 2 of this type

    105
    The spring is initially in unstretched condition. It is first stretched by a length 'xx' and the work done is W1W_1. Then again it is stretched by further length 'xx' when the work done is W2W_2. The value of W2W_2 is given by

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  5. Question 5

    Asked once: 10 May 2024 S2 (same type asked 2 times) See all 2 of this type

    23
    A ball of mass 'mm' is dropped from a height 'ss' on a horizontal platform fixed at the top of a vertical spring. The platform is depressed by a distance 'hh'. The spring constant is (g=g= acceleration due to gravity)

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  6. Question 6

    Asked once: 9 May 2023 S1 (same type asked 2 times) See all 2 of this type

    16
    The potential energy of a long spring when it is stretched by 3 cm is UU. If the spring is stretched by 9 cm, potential energy stored in it will be

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  7. Question 7

    Asked once: 11 May 2024 S2

    1
    A ball kept at 20 m height falls freely in vertically downward direction and hits the ground. The coefficient of restitution is 0.4. Velocity of the ball after first rebound is g=10 ms−2g = 10 \text{ ms}^{-2}

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