WBJEE · Physics · Mechanical Properties of Solids
A metal rod is fixed rigidly at two ends so as to prevent its thermal expansion. If \(L, \alpha\) and \(Y\) preventively denote the length of the rod, respective of linear thermal expansion and coefficient of Young's modulus of its material, then for an Young's modulus of its material, then for an increase in temperature of the rod by \(\Delta T\), the longitudinal stress developed in the rod is
- A inversely proportional to \(\alpha\)
- B inversely proportional to Y
- C directly proportional to \(\Delta T / Y\)
- D independent of \(L\)
Answer & Solution
Correct Answer
(C) directly proportional to \(\Delta T / Y\)
Step-by-step Solution
Detailed explanation
Strain \(=\alpha \cdot \Delta T\) Stress \(Y \propto \Delta T\) where \(L=\) length of the rod \(\boldsymbol{\alpha}=\) coefficient of linear thermal expansion \(Y=\) Young's modulus of its material So, the longitudinal stress developed in the rod is directly proportional to…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Physics
- A block of mass m rests on a horizontal table with a co-efficient of static friction \(\mu .\) What minimum force must be applied on the block to drag it on the table?WBJEE 2020 Hard
- At two different places, the angles of dip are respectively \(30^{\circ}\) and \(45^{\circ} .\) At these two places the ratio of horizontal component of earth's magnetic field isWBJEE 2013 Easy
- A current ' \(I^{\prime}\) is flowing along an infinite, straight wire, in the positive \(Z\) -direction and the same current is flowing along a similar parallel wire \(5 \mathrm{m}\) apart, in the negative Z-direction. A point \(P\) is at a perpendicular distance \(3 \mathrm{m}\) from the first wire and \(4 \mathrm{m}\) from the second. What will be magnitude of the magnetic field B of \(P ?\)WBJEE 2019 Medium
- A straight conductor \(0.1 \mathrm{m}\) long moves in uniform magnetic field \(0.1 \mathrm{T}\). The velocity the conductor is \(15 \mathrm{m} / \mathrm{s}\) and is directer perpendicular to the field. The emf inducod between the two ends of the conductor isWBJEE 2015 Easy
- An ideal mono-atomic gas of given mass is heated at constant pressure. In this process, the fraction of supplied heat energy used for the increase of the internal energy of the gas isWBJEE 2013 Medium
- A uniform string of length \(L\) and mass \(M\) is fixed at both ends while it is subject to a
tension \(T\). It can vibrate at frequencies \((v)\) given by the formula (where \(n=1,2,3, \ldots)\)WBJEE 2017 Easy
More PYQs from WBJEE
- A wire carrying a steady current \(I\) is kept in the \(x\)-y plane along the curve \(y=A \sin \left(\frac{2 \pi}{\lambda} x\right)\). A magnetic field \(B\) exists in the \(z\)-direction. The magnitude of the magnetic force in the portion of the wire between \(x=0\) and \(x=\lambda\) isWBJEE 2023 Medium
- If \(\left|\begin{array}{lll}x^k & x^{k+2} & x^{k+3} \\ y^k & y^{k+2} & y^{k+3} \\ z^k & z^{k+2} & z^{k+3}\end{array}\right|=(x-y)(y-z)(z-x)\left(\frac{1}{x}+\frac{1}{y}+\frac{1}{z}\right)\), thenWBJEE 2024 Easy
- Ionic solids with Schottky defect may contain in their structureWBJEE 2016 Easy
- The distance covered by a particle in \(t\) seconds is given by \(x=3+8 t-4 t^2\). After 1 second velocity will beWBJEE 2009 Easy
- If the kinetic energies of an electron, an alpha particle and a proton having same de-Broglie wavelength are \(\varepsilon_1, \varepsilon_2\) and \(\varepsilon_3\) respectively, thenWBJEE 2022 Easy
- Among the following statements about the molecules \(X\) and \(Y\), the one(s) which correct is (are)
WBJEE 2014 Easy