Mechanical Properties of Solids MCQs for NEET — Physics Questions with Answers

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When 100 N tensile force is applied to a rod of $ 10^{-6} m^2 $ cross-sectional area, its length increases by 1% so young's modulus of material is..........

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A rubber ball when taken to the bottom of a 100 mdeep take decrease in volume by 1% Hence, the bulk modulus of rubber is............$ ( g = 10 m/s^2 ) $

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Explanation

Bulk modulus (K) is given by the formula: $$ K = rac{Pressure}{ rac{ ext{Δ}V}{V}} $$ Pressure (P) at a depth h is given by: $$ P = ho g h $$ Assuming the density of water ( ext{ρ}) to be $1000 ext{ kg/m}^3$: $$ P = 1000 ext{ kg/m}^3 imes 10 ext{ m/s}^2 imes 100 ext{ m} = 10^6 ext{ Pa} $$ The fractional change in volume is 1%, or 0.01. Hence, $$ K = rac{10^6 ext{ Pa}}{0.01} = 10^8 ext{ Pa} $$ Therefore, the correct answer is $10^8 ext{ Pa}$, which corresponds to o2.

Young's modulus of a rigid body is

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Explanation

Young's modulus (Y) is a measure of the stiffness of a material. For a perfectly rigid body, there is no deformation regardless of the applied force, meaning the strain is zero. Since Young's modulus is calculated as: $$ Y = rac{Stress}{Strain} $$ If strain is zero, the modulus tends to infinity. Therefore, the correct answer is $$ ext{∞} $$ which corresponds to o3.

Pressure on an object increases from $ 1.01 \times 10^ 5 Pa to 1.165 \times 10^ 5 Pa $. He volume decrease by 10% at constant temperature. Bulk modulus of material is........

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Cross-sectional area if wire of length Lis A. Young's modulus of material is Y. If this wire acts as a spring what is the value of force constant ?

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Explanation

$ Y = { F \over A} { L \over \triangle L } $

A long spring is stretched by 2 cm, its potential energy is U. If the spring is streched by 10 cm, find the potential energy stored in it.   [This question is only for Dropper and XII batch]

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Explanation

Elastic potential energy of a spring U=12kx2               Ux2

So U2U1=x2x12  U2U=10 cm2 cm2    U2 = 25 U

A spring of spring constant 5×103 N/m is stretched initially by 5 cm from the unstretched position. Find the work required to stretch it further by another 5 cm is   [This question is only for Dropper and XII batch]

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Explanation

Work done to stretch the spring from x1 to x2

W= 12kx22-x12 =125×103[10×10-22 -5×10-22] = 12×5×103×75×10-4= 18.75 N.m.

The breaking stress of a wire depends upon

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Explanation

Breaking stress depends only on nature of material 

The elastic energy stored in a wire of Young's Modulus Y is -

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Explanation

U=12Fl=12σAl=12σllAl=12σεV=12×stress×strain×volume

If Young modulus (Y) equal to bulk modulus (B). Then the Poisson ratio is :

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Explanation

Y=3B1-2σ

 

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