JEE Mains · Physics · STD 11- 8. mechanical properties of solids
A copper wire of length \(3\text{ m}\) is stretched by \(3\text{ mm}\) by applying an external force. The volume of the wire is \(600 \times 10^{-6}\text{ m}^3\). The elastic potential energy stored in the wire in stretched condition would be _______ J.
(Given Young modulus of copper \(= 1.1 \times 10^{11}\text{ N/m}^2\))
- A 33
- B 34
- C 35
- D 36
Answer & Solution
Correct Answer
(A) 33
Step-by-step Solution
Detailed explanation
Given parameters: \(L = 3\text{ m}\) \(\Delta L = 3 \times 10^{-3}\text{ m}\) \(V = 600 \times 10^{-6}\text{ m}^3\) \(Y = 1.1 \times 10^{11}\text{ N/m}^2\) Strain is given by: \(\text{Strain} = \dfrac{\Delta L}{L} = \dfrac{3 \times 10^{-3}}{3} = 10^{-3}\) Elastic potential…
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 carbon resistance has a following colour code. What is the value of the resistance?
JEE Mains 2019 Medium - An ideal fluid flows (laminar flow) through a pipe of non-uniform diameter. The maximum and minimum diameters of the pipes are \(6.4 \;\mathrm{cm}\) and \(4.8 \;\mathrm{cm},\) respectively. The ratio of the minimum and the maximum velocities of fluid in this pipe is:JEE Mains 2020 Medium
- Some energy levels of a molecule are shown in the figure. The ratio of the wavelengths \(r\) =\(\frac{{{\lambda _1}}}{{{\lambda _2}}}\) is given by
JEE Mains 2017 Medium - A letter \('A'\) is constructed of a uniform wire with resistance \(1.0\,\Omega \) per \(cm\) , The sides of the letter are \(20\, cm\) and the cross piece in the middle is \(10\, cm\) long. The apex angle is \(60\) . The resistance between the ends of the legs is close to ................ \(\Omega\)JEE Mains 2013 Hard
- Three charges \(+Q, q, +Q\) are placed respectively, at distance, \(0, \frac d2\) and \(d\) from the origin, on the \(x-\) axis. If the net force experienced by \(+Q\), placed at \(x = 0\), is zero, then value of \(q\) isJEE Mains 2019 Hard
- A uniform magnetic field of \(2 \times 10^{-3} \mathrm{~T}\) acts along positive \(\mathrm{Y}\)-direction. A rectangular loop of sides \(20\) \(\mathrm{cm}\) and \(10 \mathrm{~cm}\) with current of \(5 \mathrm{~A}\) is \(\mathrm{Y}-\mathrm{Z}\) plane. The current is in anticlockwise sense with reference to negative \(\mathrm{X}\) axis. Magnitude and direction of the torque is _______.JEE Mains 2024 Hard
More PYQs from JEE Mains
- A bag contains \(30\) white balls and \(10\) red balls. \(16\) balls are drawn one by one randomly from the bag with replacement. If \(X\) be the number of white balls drawn, then \(\left( {\frac{{{\rm{mean\, of\, X}}}}{{{\rm{standard\, deviation\, of\, X}}}}} \right)\) is equal toJEE Mains 2019 Hard
- In the reported figure, two bodies \(A\) and \(B\) of masses \(200\, {g}\) and \(800\, {g}\) are attached with the system of springs. Springs are kept in a stretched position with some extension when the system is released. The horizontal surface is assumed to be frictionless. The angular frequency will be \(.....\,{rad} / {s}\) when \({k}=20 \,{N} / {m} .\)
JEE Mains 2021 Hard - Let \(\Omega\) be the sample space and \(A \subseteq \Omega\) be an event. Given below are two statements : \((S1)\) : If \(P ( A )=0\), then \(A =\phi\) \(( S 2)\) : If \(P ( A )=\), then \(A =\Omega\) ThenJEE Mains 2023 Hard
- The number of values of \(\theta \in (0,\pi)\) for which the system of linear equations
\(x + 3y + 7z = 0\)
\(-x + 4y + 7z = 0\)
\((sin\,3\theta )x + (cos\,2\theta )y + 2z = 0\) has a non-trivial solution, isJEE Mains 2019 Hard - A square loop of side \(15 \mathrm{~cm}\) being moved towards right at a constant speed of \(2 \mathrm{~cm} / \mathrm{s}\) as shown in figure. The front edge enters the \(50 \mathrm{~cm}\) wide magnetic field at \(t=0\). The value of induced emf in the loop at \(t=10 \mathrm{~s}\) will be _______.
JEE Mains 2024 Hard - From a lot containing 10 defective and 90 non-defective bulbs, 8 bulbs are selected one by one with replacement. Then the probability of getting at least 7 defective bulbs is :JEE Mains 2026 Easy