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JEE Main 202430 JanuaryMorning Shift
Exam
JEE Main
Year
2024
Date
30 January
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2024 · 30 January · Morning Shift · Physics · Mechanical Properties of Solids

Each of three blocks P, Q and R shown in figure has a mass of 3kg ....

Each of three blocks P,QP, Q and RR shown in figure has a mass of 3kg3kg. Each of the wire AA and BB has cross-sectional area 0.005cm20 . 005{cm}^{2} and Young's modulus 2×1011Nm−22 \times {10}^{11}N{m}^{- 2}. Neglecting friction, the longitudinal strain on wire BB is _____ ×10−4\times {10}^{- 4}. (Take g=10ms−2g = 10m{s}^{- 2})

Each of three blocks P, Q and R shown in figure has a mass of 3kg . Each of the wire A and B has cross-sectional area 0

Correct answer

0

Step-by-step solution

Each of three blocks P, Q and R shown in figure has a mass of 3kg . Each of the wire A and B has cross-sectional area 0

Acceleration of the system, a=3g9=103ms−2a = \dfrac{3g}{9} = \dfrac{10}{3}m{s}^{- 2}

Now, for RR we can write

30−T1=3×a30 - {T}_{1} = 3 \times a

⇒T1=20N⇒ {T}_{1} = 20N

Therefore, strain developed in wire BB, 

 strain=stressY=T1AY=200.005×10−42×1011\text{strain} = \dfrac{\text{stress}}{Y} = \dfrac{\dfrac{{T}_{1}}{A}}{Y} = \dfrac{\dfrac{20}{0 . 005 \times {10}^{- 4}}}{2 \times {10}^{11}}

=2×10−4= 2 \times {10}^{- 4}

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