JEE Mains · Physics · STD 11 - 10.1, thermonetry,thermal expansion and calorimetry
A steel rail of length \(5\,m\) and area of cross-section \(40\,cm^2\) is prevented from expanding along its length while the temperature rises by \(10\,^oC\). If coefficient of linear expansion and Young's modulus of steel are \(1.2\times10^{-5}\, K^{-1}\) and \(2\times10^{11}\, Nm^{-2}\) respectively, the force developed in the rail is approximately
- A \(2\times10^7\, N\)
- B \(1\times10^5\, N\)
- C \(2\times10^9\, N\)
- D \(3\times10^{-5}\, N\)
Answer & Solution
Correct Answer
(B) \(1\times10^5\, N\)
Step-by-step Solution
Detailed explanation
\(Young's\,modulus\) \( = \frac{{Thermal\,stress}}{{Strain}} = \frac{{F/A}}{{\Delta L/L}}\) \(Y = \frac{F}{{A.\alpha .\Delta \theta }}\) \(\left( {\frac{{\Delta L}}{L} = \alpha \,\Delta \,\theta } \right)\) Force developed in the rail \(F = YA\,\alpha \,\Delta t\)…
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 simple pendulum has a bob with mass m and charge q. The pendulum string has negligible mass. When a uniform and horizontal electric field \( \vec{E} \) is applied, the final tension in the string changes.The final tension in the string, when pendulum attains an equilibrium position is __________ .
(g: acceleration due to gravity)JEE Mains 2026 Hard - A parallel plate capacitor of capacitance \(90\ pF\) is connected to a battery of \(emf\) \(20\ V\). If a dielectric material of dielectric constant \(K = \frac{5}{3}\) is inserted between the plates, the magnitude of the induced charge will be.......\(n \) \(C\)JEE Mains 2018 Medium
- A body is moving unidirectionally under the influence of a constant Power source. Its displacement in time \(t\) is proportional to _______.JEE Mains 2024 Hard
- \(n-\) \(moles\) of an ideal gas with constant volume heat capacity \(C_v\) undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied isJEE Mains 2019 Medium
- Two short bar magnets oflength \(1\ cm\) each have magnetic moments \(1.20\ Am^2\) and \(1.00\ Am^2\) respectively. They are placed on a horizontal table parallel to each other with their \(N\) poles pointing towards the South. They have a common magnetic equator and are separated by a distance of \(20.0\ cm\). The value of the resultand horizontal magnetic induction at the mid-point \(O\) of the line joining their centres is close to (Horizontal component of earth.s magnetic induction is \(3.6 \times 10^{-5}\) \(Wbm^{-2}\) )JEE Mains 2013 Hard
- For a plane electromagnetic wave, the magnetic field at a point \(x\) and time \(t\) is \(\overrightarrow{ B }( x , t )=\left[1.2 \times 10^{-7} \sin \left(0.5 \times 10^{3} x +1.5 \times 10^{11} t \right) \hat{ k }\right] T\) The instantaneous electric field \(\overrightarrow{ E }\) corresponding to \(\overrightarrow{ B }\) is : (speed of light \(\left.c=3 \times 10^{8} ms ^{-1}\right)\)JEE Mains 2020 Medium
More PYQs from JEE Mains
- A sinusoidal voltage of peak value \(250\, V\) is applied to a series \(LCR\) circuit, in which \(R =8 \Omega, L =24\, mH\) and \(C =60 \mu F\). The value of power dissipated at resonant condition is \('x'\, kW\). The value of \(x\) to the nearest integer is .............JEE Mains 2021 Medium
- Let \(f\left( x \right) = {\sin ^4}\,x + {\cos ^4}\,x\). Then \(f\) is an increasing function in the intervalJEE Mains 2016 Medium
- In the given figure, the block of mass \(m\) is dropped from the point ' \(A\) '. The expression for kinetic energy of block when it reaches point ' \(B\) ' is ................
JEE Mains 2022 Medium - Surface tension of two liquids (having same densities), \(T_1\) and \(T_2\), are measured using capillary rise method utilizing two tubes with inner radii of \(r_1\) and \(r_2\) where \(r_1>r_2\). The measured liquid heights in these tubes are \(h_1\) and \(h_2\) respectively. [Ignore the weight of the liquid about the lowest point of miniscus]. The heights \(h _1\) and \(h _2\) and surface tensions \(T _1\) and \(T _2\) satisfy the relation :JEE Mains 2026 Easy
- A regular polygon of \(6\) sides is formed by bending a wire of length \(4 \pi\) meter. If an electric current of \(4 \pi \sqrt{3} \mathrm{~A}\) is flowing through the sides of the polygon, the magnetic field at the centre of the polygon would be \(x \times 10^{7} \mathrm{~T}\). The value of \(\mathrm{x}\) is ______.JEE Mains 2024 Hard
- Consider a mixture of \(n\) moles of helium gas and \(2 n\) moles of oxygen gas (molecules taken to be rigid) as an ideal gas. Its \(\frac{\mathrm{C}_{\mathrm{P}}}{\mathrm{C}_{\mathrm{V}}}\) value will beJEE Mains 2020 Medium