MHT CET · Physics · Mechanical Properties of Solids
An elastic material with Young's modulus 'Y' is subjected to a tensile stress ' \(\mathrm{S}\) '. The elastic energy stored per unit volume of the material will be
- A \(\frac{s^{2}}{Y}\)
- B \(\frac{S^2}{2Y}\)
- C \(\frac{Y S}{2}\)
- D \(\frac{S}{2 Y}\)
Answer & Solution
Correct Answer
(B) \(\frac{S^2}{2Y}\)
Step-by-step Solution
Detailed explanation
\( U = \frac{1}{2} \times \text{stress} \times \text{strain} \) \( \text{strain} = \frac{\text{stress}}{Y} \)
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 solenoid having 400 turns per metre has a core of a material with relative permeability 400. When a current of 0.5 A is passed through it, the magnetization of the core material in \(\mathrm{Am}^{-1}\) is nearlyMHT CET 2024 Easy
- In Young’s double slit experiment fifth dark fringe is formed opposite to one of the slit. If D is the distance between the slits and the screen and d is the separation between the slits, then the wavelength of light used isMHT CET 2019 Medium
- A charge ' \(\mathrm{q}_{\circ}{ }^{\prime}\) moving with velocity ' \(\overrightarrow{\mathrm{v}}\) 'in a magnetic field of induction \(\overrightarrow{\mathrm{B}}\),
experiences force \(\overrightarrow{\mathrm{F}}\) '. The angle between \(\overrightarrow{\mathrm{v}}\) and \(\overrightarrow{\mathrm{B}}\) is \(\theta\).
The speed of ' \(\mathrm{q}_{\circ}\) ' after one second will beMHT CET 2020 Easy - A solid sphere has mass ' \(M\) ' and radius ' \(R\) '. Its moment of inertia about a parallel axis passing through a point at a distance \(\frac{R}{2}\) from its centre isMHT CET 2022 Medium
- A particle starts from mean position and performs S.H.M. with period 4 second. At what time its kinetic energy is \(50 \%\) of total energy?MHT CET 2023 Medium
- In light emitting diode (LED), light is given out due toMHT CET 2020 Easy
More PYQs from MHT CET
- If \(A, B, C\) are angles of a \(\triangle A B C\), then \(\tan 2 A+\tan 2 B+\tan 2 C=\)MHT CET 2020 Medium
- Which of the following is a functional isomer of pentan-2-ol?MHT CET 2020 Easy
- If \(\mathrm{f}(x)=\frac{4}{x^4}\left[1-\cos \frac{x}{2}-\cos \frac{x}{4}+\cos \frac{x}{2} \cdot \cos \frac{x}{4}\right]\) is continuous at \(x=0\), then \(\mathrm{f}(0)\) isMHT CET 2023 Hard
- What should be at the place of A and B in the following reaction: -
\(A \xrightarrow{\text { Nucleases }} B\)MHT CET 2023 Hard - If \(\mathrm{f}(x)=\frac{\log x}{x}(x\gt0)\), then it is increasing inMHT CET 2024 Easy
- The ratio of the total energy of the \(2^{\text {nd }}\) orbit electron for the hydrogen atom \(1 \mathrm{H}^1\) to that of helium ion \(\left(\mathrm{He}^{+}\right) 2 \mathrm{He}^4\) isMHT CET 2025 Medium