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Physics · Mechanical Properties of Matter

JEE Main 2024 — 30 January, Shift 1 — Question 49

Each of three blocks P,Q\mathrm{P}, \mathrm{Q} and R shown in figure has a mass of 3 kg . Each of the wire A and B has cross-sectional area 0.005 cm20.005 \mathrm{~cm}^{2} and Young's modulus 2×1011 N m−22 \times 10^{11} \mathrm{~N} \mathrm{~m}^{-2}. Neglecting friction, the longitudinal strain on wire BB is _______\_\_\_\_\_\_\_ ×10−4\times 10^{-4} (\left(\right. Take g=10 m/s2\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2} )

Question figure

Answer: 2

Numerical answer — enter this value.

Step-by-step solution

The acceleration is

a=103 m/s2.a = \frac{10}{3}\,\text{m/s}^2.

Using Newton's second law:

30−T1=3a,30 - T_1 = 3a, T1=20 N.T_1 = 20\,\text{N}.

Strain is given by

strain=stressY=2×10−4.\text{strain} = \frac{\text{stress}}{Y} = 2 \times 10^{-4}.
Solution figure

Answer key and solution verified before publishing.

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Exam
JEE Main 2024
Paper
30 January, Shift 1
Subject
Physics
Chapter
Mechanical Properties of Matter
Topic
Stress,Strain and Modulus of Elasticity

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