JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
- JEE Mains 2021
- Medium
- Numerical
A steel rod with \({y}=2.0 \times 10^{11} \,{Nm}^{-2}\) and \(\alpha=10^{-5}{ }^{\circ} {C}^{-1}\) of length \(4\, {m}\) and area of cross-section \(10\, {cm}^{2}\) is heated from \(0^{\circ} {C}\) to \(400^{\circ} {C}\) without being allowed to extend. The tension produced in the rod is \({x} \times 10^{5} \, {N}\) where the value of \({x}\) is ....... .
Pick an option to check your answer.
Answer & Solution
Correct Answer
(A) \(8\)
Step-by-step Solution
Detailed explanation
Thermal force \({F}={Ay}\alpha \Delta {T}\)
\(F=\left(10 \times 10^{-4}\right)\left(2 \times 10^{11}\right)\left(10^{-5}\right)(400)\)
\(F=8 \times 10^{5} {N}\)
\(\Rightarrow {x}=8\)
More questions from Physics
- A particle of mass \(10\,g\) moves in a straight line with retarcation \(2x\), where \(x\) is the displacement in \(SI\) units. Its loss of kinetic energy for above displacement is \(\left(\frac{10}{x}\right)^{- n }\, J\). The value of \(n\) will be \(............\).JEE Mains 2023 Hard
- A resistance is shown in the figure. Its value and tolerance are given respectively by
JEE Mains 2019 Medium - Seven identical circular planar disks, each of mass \(M\) and radius \(R\) are welded symmetrically as shown. The moment of inertia of the arrangement about the axis normal to the plane and passing through the point \(P\) is:
JEE Mains 2018 Hard - The magnetic field associated with a light wave is given, at the origin, by \(B = B_0 [sin\,(3.14 \times 10^7)\,ct\,+\,sin\,(6.28 \times 10^7)\,ct]\) If this light falls on a silver plate having a work function of \(4.7\,eV,\) what will be the maximum kinetic energy of the photo electrons? .............. \(eV\)JEE Mains 2019 Hard
- A disc with a flat small bottom beaker placed on it at a distance \(R\) from its center is revolving about an axis passing through the center and perpendicular to its plane with an angular velocity \(\omega\). The coefficient of static friction between the bottom of the beaker and the surface of the disc is \(\mu\). The beaker will revolve with the disc ifJEE Mains 2022 Medium
- An ideal gas undergoes a quasi static, reversible process in which its molar heat capacity \(C\) remains constant. If during this process the relation of pressure \(P\) and volume \(V\) is given by \(PV^n =\) constant, then n is given by (Here \(C_p\) and \(C_v\) are molar specific heat at constant pressure and constant volume, respectively) :JEE Mains 2016 Hard
More PYQs from JEE Mains
- The current sensitivity of a galvanometer can be increased by: \((A)\) decreasing the number of turns \((B)\) increasing the magnetic field \((C)\) decreasing the area of the coil \((D)\) decreasing the torsional constant of the spring Choose the most appropriate answer from the options given below.JEE Mains 2022 Medium
- To find the focal length of a convex mirror, a student records the following data
The focal length of the convex lens is \(f_1\) and that of mirror is \(f_2\). Then taking index correction to be negligibly small, \(f_1\) and \(f_2\) are close toObject Pin Convex Lens Convex Mirror Image Pin \(22.2\,cm\) \(32.2\,cm\) \(45.8\,cm\) \(71.2\,cm\) JEE Mains 2016 Hard - The horizontal component of earth's magnetic field at a place is \(3.5 \times 10^{-5} \mathrm{~T}\). A very long straight conductor carrying current of \(\sqrt{2} A\) in the direction from South east to North West is placed. The force per unit length experienced by the conductor is _______ \(\times 10^{-6} \mathrm{~N} / \mathrm{m}\).JEE Mains 2024 Hard