WBJEE · Physics · Thermal Properties of Matter
A solid rectangular sheet has two different coefficients of linear expansion \(\alpha_{1}\) and \(\alpha_{2}\) along its length and breadth respectively. The coefficient of surface expansion is (for \(\left.\alpha_{1} t< < 1, \alpha_{2} t< < 1\right)\)
- A \(\frac{\alpha_{1}+\alpha_{2}}{2}\)
- B \(2\left(\alpha_{1}+\alpha_{2}\right)\)
- C \(\frac{4 \alpha_{1} \alpha_{2}}{\alpha_{1}+\alpha_{2}}\)
- D \(\alpha_{1}+\alpha_{2}\)
Answer & Solution
Correct Answer
(D) \(\alpha_{1}+\alpha_{2}\)
Step-by-step Solution
Detailed explanation
The coefficient of linear expansion along its length \(=\alpha_{1}\) The coefficient of linear expansion along its breadth \(=\alpha_{2}\) Increase in length, \[ L_{i}=l_{0}\left(1+\alpha_{1} \Delta t\right) \] Increase in breadth,…
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 ray of light strikes a glass plate at an angle of \(60^{\circ}\). If the reflected and refracted rays are perpendicular to each other, the refractive index of glass isWBJEE 2016 Medium
- A non-zero current passes through the galvanometer \(G\) shown in the circuit when the key \(K\) is closed and its value does not change when the key is opened. Then, which of the following statement(s) is/are true?
WBJEE 2018 Hard - A fighter plane, flying horizontally with a speed \(360 \mathrm{kmph}\) at an altitude of \(500 \mathrm{~m}\) drops a bomb for a target straight ahead of it on the ground. The bomb .should be dropped at what approximate distance ahead of the target ? Assume that acceleration due to gravity \((\mathrm{g})\) is \(10 \mathrm{~ms}^{-2}\). Also neglect air dragWBJEE 2020 Medium
- A proton is moving with a uniform velocity of \(10^{6} \mathrm{ms}^{-1}\) along the \(Y\) -axis, under the joint action of a magnetic field along \(Z\) -axis and an electric field of magnitude \(2 \times 10^{4} \mathrm{Vm}^{-1}\) along the negative \(X\) -axis. If the electric field is switched off, the proton starts moving in a circle. The radius of the circle is nearly given: \(\frac{e}{m}\) ratio for proton \(=10^{4} \mathrm{Ckg}^{-1}\)WBJEE 2017 Medium
- A charged particle of mass \(m_{1}\) and charge \(q_{1}\) is revolving in a circle of radius \(r .\) Another charged particle of charge \(q_{2}\) and mass \(m_{2}\) is situated at the centre of the circle. If the velocity and time period of the revolving particle be \(v\) and \(T\) respectively, thenWBJEE 2016 Hard
- Two coherent monochromatic beams of intensities \(I\) and \(4 I\) respectively are superposed. The maximum and minimum intensitien in the reaulting pattern areWBJEE 2014 Easy
More PYQs from WBJEE
- In a common emitter configuration, a transistor has \(\beta=50\) and input resistance \(1 \mathrm{k} \Omega\). If the peak value of a.c. input is \(0.01 \mathrm{~V}\) then the peak value of collector current isWBJEE 2010 Easy
- If \(x_1\) be the size of the magnified image and \(x_2\) the size of the diminished image in Lens Displacement Method, then the size of the object is :WBJEE 2010 Easy
- \(F(x)=\cos x-1+\frac{x^2}{2!}, x \in \mathbb{R}\). Then \(f(x)\) isWBJEE 2024 Medium
- The time taken for \(10 \%\) completion of a first order reactin is 20 mins. Then, for \(19 \%\) completion, the reaction will takeWBJEE 2009 Hard
- Which one of the following characteristics belongs to an electrophile?WBJEE 2012 Easy
- Consider a region in free space bounded by the surfaces of an imaginary cube having sides of length \(a\) as shown in the figure. A charge \(+Q\) is placed at the centre \(O\) of the cube. \(P\) is such a point out side the cube that the line \(O P\) perpendicularly intersects the surface \(A B C D\) at \(R\) and also \(O R=R P=a / 2\). A charge \(+Q\) is placed at point \(P\) also. What is the total electric flux through the five faces of the cube other than \(A B C D ?\)
WBJEE 2018 Easy