JEE Mains · Physics · STD 11- 8. mechanical properties of solids
The elastic limit of brass is \(379\,MPa.\) .......... \(mm\) should be the minimum diameter of a brass rod if it is to support a \(400\,N\) load without exceeding its elastic limit .
- A \(1\)
- B \(1.16\)
- C \(0.90\)
- D \(1.36\)
Answer & Solution
Correct Answer
(B) \(1.16\)
Step-by-step Solution
Detailed explanation
\(\frac{{400}}{{\frac{\pi }{4}{d^2}}} = 379 \times {10^6}\) \({d^2} = \frac{{4 \times 400 \times {{10}^{ - 6}}}}{{\pi \times 379}} = 0.336 \times {10^{ - 6}} \times 4\) \(d = 2\sqrt {0.336} \times {10^{ - 3}}M \simeq 1.16\,mm\)
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
- Two balls of same mass and carrying equal charge are hung from a fixed support of length \(l\). At electrostatic equilibrium, assuming that angles made by each thread is small, the separation, \(x\) between the balls is proportional toJEE Mains 2013 Hard
- Concentric metallic hollow spheres of radii \(R\) and \(4 R\) hold charges \(Q _{1}\) and \(Q _{2}\) respectively. Given that surface charge densities of the concentric spheres are equal, the potential difference \(V ( R )- V (4 R )\) isJEE Mains 2020 Medium
- There is an air bubble of radius \(1.0\,mm\) in a liquid of surface tension \(0.075\,Nm ^{-1}\) and density \(1000\,kg\) \(m ^{-3}\) at a depth of \(10\,cm\) below the free surface. The amount by which the pressure inside the bubble is greater than the atmospheric pressure is \(....Pa \left( g =10\,ms ^{-2}\right)\)JEE Mains 2023 Hard
- An object is located in a fixed position in front of a screen. Sharp image is obtained on the screen for two positions of a thin lens separated by \(10\, cm\). The size of the images in two situations are in the ratio \(3 : 2\). What is the distance between the screen and the object?......\(cm\)JEE Mains 2014 Hard
- In a potentiometer arrangement, a cell of emf \(1.20\, V\) gives a balance point at \(36\, cm\) length of wire. This cell is now replaced by another cell of emf \(1.80\, V\). The difference in balancing length of potentiometer wire in above conditions will be \(....cm\).JEE Mains 2022 Hard
- A bi-convex lens has radius of curvature of both the surfaces same as \(1 / 6 \mathrm{~cm}\). If this lens is required to be replaced by another convex lens having different radii of curvatures on both sides \(\left(R_1 \neq R_2\right)\), without any change in lens power then possible combination of \(R_1\) and \(R_2\) is :JEE Mains 2025 Hard
More PYQs from JEE Mains
- Let \(\vec{a}=\vec{i}-\alpha \vec{j}+\beta \hat{k}, \vec{b}=3 \hat{i}+\beta \hat{j}-\alpha \hat{k}\) and \(\vec{c}=-\alpha \hat{i}-2 \hat{j}+\hat{k}\), where \(\alpha\) and \(\beta\) are integers. If \(\vec{a} \cdot \vec{b}=-1\) and \(\overrightarrow{\mathrm{b}} \cdot \overrightarrow{\mathrm{c}}=10\), then \((\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}) \cdot \overrightarrow{\mathrm{c}}\) is equal to \(.....\)JEE Mains 2021 Hard
- If the sum of the first \(15\) terms of the series \({\left( {\frac{3}{4}} \right)^3} + {\left( {1\frac{1}{2}} \right)^3} + {\left( {2\frac{1}{4}} \right)^3} + {3^3} + {\left( {3\frac{3}{4}} \right)^3} + .....\) is equal to \(225\,k,\) then \(k\) is equal toJEE Mains 2019 Hard
- The least value of \( (cos^{2}\theta-6sin\theta~cos\theta+3~sin^{2}\theta+2) \) is:JEE Mains 2026 Hard
- There are \(4\) men and \(5\) women in Group \(A\), and \(5\) men and \(4\) women in Group \(B.\) If \(4\) persons are selected from each group, then the number of ways of selecting \(4\) men and \(4\) women is ....................JEE Mains 2024 Hard
- Let \(z\,\ne -i\) be any complex number such that \(\frac{{z - i}}{{z + i}}\) is a purely imaginary number. Then \(z +\frac {1}{z}\) isJEE Mains 2014 Hard
- In a typical combustion engine the work done by a gas molecule is given \(W =\alpha^{2} \beta e ^{\frac{-\beta x ^{2}}{ KT }}\), where \(x\) is the displacement, \(k\) is the Boltzmann constant and \(T\) is the temperature. If \(\alpha\) and \(\beta\) are constants, dimensions of \(\alpha\) will beJEE Mains 2021 Hard