List of top Physics Questions on Stress and Strain asked in JEE Main

Two blocks of mass $2 \, \text{kg}$ and $4 \, \text{kg}$ are connected by a metal wire going over a smooth pulley as shown in the figure. The radius of the wire is $4.0 \times 10^{-5} \, \text{m}$ and Young's modulus of the metal is $2.0 \times 10^{11} \, \text{N/m}^2$. The longitudinal strain developed in the wire is $\frac{1}{\alpha \pi}$. The value of $\alpha$ is _____. [Use $g = 10 \, \text{m/s}^2$]

A force is applied to a steel wire ' $A$ ', rigidly clamped at one end As a result elongation in the wire is $02\, mm$ If same force is applied to another steel wire ' $B$ ' of double the length and a diameter $24$ times that of the wire ' $A$ ', the elongation in the wire ' $B$ ' will be (wires having uniform circular cross sections)

The equivalent resistance between A and B is _________.

The Young's modulus of a steel wire of length $6 m$ and cross-sectional area $3 \,mm ^2$, is $2 \times 10^{11}$ $N / m ^2$. The wire is suspended from its support on a given planet A block of mass $4 kg$ is attached to the free end of the wire. The acceleration due to gravity on the planet is $\frac{1}{4}$ of its value on the earth The elongation of wire is (Take $g$ on the earth $=10\, m / s ^2$) :

A steel wire of length 3.2 m (Y_s = 2.0 × 10¹¹ Nm^-2) and a copper wire of length 4.4 m (Y_c = 1.1 × 10¹¹ Nm^-2), both of radius 1.4 mm are connected end to end. When stretched by a load, the net elongation is found to be 1.4 mm. The load applied, in Newton, will be:
$(Given: π = \frac{22}{7})$

Match List I with List II.

List I	List II
A.	Torque	I.	Nms^–1
B.	Stress	II.	Jkg^–1
C.	Latent Heat	III.	Nm
D.	Power	IV	Nm^–2

Choose the correct answer from the options given below

The velocity of upper layer of water in a river is $36\ kmh^{–1}$. Shearing stress between horizontal layers of water is $10^{–3} Nm^{–2}$. Depth of the river is ______ m. (Co-efficient of viscosity of water is $10^{–2} Pa.s$)

Two blocks of masses $m$ and $M$ are connected by means of a metal wire of cross-sectional area $A$ passing over a frictionless fixed pulley as shown in the figure. The system is then released. If $M \,= \,2 m$, then the stress produced in the wire is: