propertes of solid stress ,strain and modulus of elasticity questions with solutions

Showing 1–10 of 43 questions

• MCQeasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  Two wires A and B are made of the same material. Their lengths satisfy $L_A/L_B$ = 1/3 and their diameters satisfy $d_A/d_B$ = 2. If the same tensile force is applied to both wires, the ratio of elongations Δ$L_A:ΔL_B$ is:

  Options

  • Option A

    1:6

  • Option B

    1:12

  • Option C

    3:4

  • Option D

    1:3

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  JEE Mains 2025 7 April Morning Shift

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• MCQeasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  The graph shown in the figure gives the extension Δl of a wire of original length 1 m as a function of the applied load W. The wire has cross-sectional area 10⁻⁵ m². From the graph, an increase of 10 N in load produces an increase of 1 × 10⁻⁴ m in extension. What is the Young's modulus of the wire?

  

  Options

  • Option A

    1.0 × 10¹¹ N·m⁻²

  • Option B

    2.0 × 10¹⁰ N·m⁻²

  • Option C

    1.0 × 10¹⁰ N·m⁻²

  • Option D

    2.0 × 10¹¹ N·m⁻²

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  JEE Mains 2026 6 April Evening Shift

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• A/ReasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R) In the light of the above statements, choose the correct answer from the options given below :

  Assertion

  Assertion (A) : The property of body, by virtue of which it tends to regain its original shape when the external force is removed, is Elasticity.

  Reason

  Reason (R) : The restoring force depends upon the bonded inter atomic and inter molecular force of solid.

  Options

  • Option A

    (A) is false but (R) is true

  • Option B

    (A) is true but (R) is false

  • Option C

    Both (A) and (R) are true and (R) is the correct explanation (A)

  • Option D

    Both (A) and (R) are true but (R) is not the correct explanation of (A)

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  JEE Mains 2024 27 Jan Evening Shift

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• NumericmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  Two blocks of mass 2 kg and 4 kg are connected by a metal wire going over a smooth pulley as shown in figure. The radius of wire is 4.0 × 10⁻⁵ m and Young's modulus of the metal is 2.0 × 10¹¹ N/m². The longitudinal strain developed in the wire is 1/(απ). The value of α is____. [Use g = 10 m/s²]

  

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  JEE Mains 2024 31 Jan Evening Shift

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• NumericmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  As shown in the figure, in an experiment to determine Young's modulus of a wire, the extension-load curve is a straight line through the origin making 45° with the load axis. The length of wire is 62.8 cm and its diameter is 4 mm. Young's modulus is x × 10⁴ N m⁻². The value of x is:

  

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  JEE Mains25 January 2023Morning Shift

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• NumericmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  A wire of cross sectional area A, modulus of elasticity 2 × 10¹¹ N m⁻² and length 2 m is stretched between two vertical rigid supports. When a mass of 2 kg is suspended at the middle it sags lower from its original position making angle θ = 1/100 radian on the points of support. The value of A is _____ × 10⁻⁴ m² (consider x << L). (given : g = 10 m/s²)

  

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  JEE Mains 2024 06 Apr Evening Shift

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• MCQeasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  Two wires A and B have equal cross-sectional areas but are made of different materials. Their Young's moduli satisfy $\frac{Y_{A}}{Y_{B}}=\frac{20}{11}$. The wires are joined and subjected to the same tension, and their elongations are found to be equal. If the length of wire A is 2.2 m, what is the length of wire B?

  Options

  • Option A

    1.10 m

  • Option B

    2.22 m

  • Option C

    1.21 m

  • Option D

    4.44 m

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  JEE Mains 2026 6 April Morning Shift

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• MCQmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  A cylindrical rod of length 1 m and radius 4 cm is mounted vertically. A shear force of 10⁵ N is applied at the top. If the shear modulus is 10¹⁰ N/m² and deformation is very small, the angular displacement θ of the rod axis is:

  Options

  • Option A

    1/(2π)

  • Option B

    1/(160π)

  • Option C

    1/(40π)

  • Option D

    1/(4π)

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  JEE Mains 2025 4 April Evening Shift

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• A/ReasyProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.

  Assertion

  Steel is used in the construction of buildings and bridges.

  Reason

  Steel is more elastic and its elastic limit is high.

  Options

  • Option A

    Both A and R are correct but R is NOT the correct explanation of A

  • Option B

    A is not correct but R is correct

  • Option C

    Both A and R are correct and R is the correct explanation of A

  • Option D

    A is correct but R is not correct

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  JEE Mains24 January 2023Shift 2Evening Shift

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• NumericmediumProperties of solid and fluidpropertes of solid stress ,strain and modulus of elasticity

  The density and breaking stress of a wire are 6 × 10⁴ kg/m³ and 1.2 × 10⁸ N/m² respectively. The wire is suspended from a rigid support on a planet where acceleration due to gravity is 1/3 of the value on the surface of earth. The maximum length of the wire without breaking is ______ m (take, g = 10 m/s²)

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  JEE Mains 2024 05 Apr Morning Shift

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