MHT CET · Physics · Mechanical Properties of Solids
Young's modulus of the material of a wire is \(Y\). If it is under a stress \(S\), the energy stored per unit volume is given by
- A \(\frac{1}{2} \frac{S}{Y}\)
- B \(\frac{1}{2} \frac{S^{2}}{Y}\)
- C \(\frac{1}{2} \frac{S}{Y^{2}}\)
- D \(\frac{1}{2} \frac{S^{2}}{Y^{2}}\)
Answer & Solution
Correct Answer
(B) \(\frac{1}{2} \frac{S^{2}}{Y}\)
Step-by-step Solution
Detailed explanation
Here \(u=\frac{1}{2}\) stress \(\times\) strain
also \(Y=\) stress \(/\) strain
Hence
\(\begin{array}{l}u=\frac{1}{2}(\text { stress })^{2} / Y \\u=\frac{1}{2} \frac{S^{2}}{Y}\end{array}\)
also \(Y=\) stress \(/\) strain
Hence
\(\begin{array}{l}u=\frac{1}{2}(\text { stress })^{2} / Y \\u=\frac{1}{2} \frac{S^{2}}{Y}\end{array}\)
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
- In a system of two particles of masses 'mi' and 'm2', the first particle is moved by a distance 'd' towards the centre of mass. To keep the centre of mass unchanged,
the second particle will have to be moved by a distanceMHT CET 2020 Easy - The mutual inductance of a pair of coils, each of ' \(\mathrm{N}\) ' turns, is ' \(\mathrm{M}\) ' henry. If a current of ' \(\mathrm{I}\) ' ampere in one of the coils is brought to zero in ' \(\mathrm{t}\) ' second, the e. m. f. induced per turn in the other coil in volt isMHT CET 2023 Hard
- A person measures a time period of a simple pendulum inside a stationary lift and finds it to be T. If the lift starts accelerating upwards with an acceleration the time period of the pendulum will beMHT CET 2019 Medium
- Two concentric circular coils \(A\) and \(B\) having radii 20 cm and 10 cm respectively lie in the same plane. The current in coil A is 0.5 A in anticlockwise direction. The current in coil B, so that net magnetic field at the common centre is zero, isMHT CET 2024 Medium
- A rod m long is acted upon by a couple as shown in the figure. The moment of couple is Nm. If the force at each end of the rod, then magnitude of each force is
MHT CET 2019 Easy - Two concentric coplanar circular loops of radii ' \(r_1\) ' and ' \(r_2\) ' respectively carry currents ' \(\mathrm{i}_1\) ' and ' \(\mathrm{i}_2\) ' in opposite directions (one clockwise and other anticlockwise). The magnetic induction at the center of the loops is half that due to ' \(\mathrm{i}_1\) ' alone at the center. If \(r_2=2 r_1\), the value of \(\frac{i_2}{i_1}\)MHT CET 2021 Medium
More PYQs from MHT CET
- What is order and molecularity of following reaction?
\(\mathrm{NO}_{2(\mathrm{~g})}+\mathrm{NO}_{2(\mathrm{~g})} \longrightarrow 2 \mathrm{NO}_{(\mathrm{g})}+\mathrm{O}_{2(\mathrm{~g})}\)MHT CET 2025 Medium - Identify product ' B ' in the following reaction. Cumene \(\xrightarrow[\Delta]{\mathrm{KMnO}_4, \mathrm{KOH}} \mathrm{A} \xrightarrow{\mathrm{H}_3 \mathrm{O}^{+}} \mathrm{B}\)MHT CET 2024 Medium
- Calculate the radius of an atom of an element in pm if it forms bcc unit cell structure having edge length \(4.3 \times 10^{-8} \mathrm{~cm}\).MHT CET 2025 Medium
- When organisms change their location to escape unfavourable harsh environment, it is called ________.MHT CET 2025 Easy
- A ray of light is incident at an angle of incidence 'i' on one surface of a thin prism of
small angle 'A'. The ray emerges normally from the opposite surface. If the refractive
index of the material of the prism is ' \(\mu\) ', the angle of incidence 'i' is nearly equal toMHT CET 2020 Easy - A condenser of capacity ' \(\mathrm{C}_1\) ' is charged to potential ' \(\mathrm{V}_1\) ' and then disconnected. Uncharged capacitor of capacity ' \(\mathrm{C}_2\) ' is connected in parallel with ' \(\mathrm{C}_1\) '. The resultant potential ' \(\mathrm{V}_2\) ' isMHT CET 2021 Easy