JEE Mains · Physics · STD 11 - 3.2 motion in plane
A string of length \(L\) is fixed at one end and carries a mass of \(M\) at the other end. The mass makes \(\left(\frac{3}{\pi}\right)\) rotations per second about the vertical axis passing through end of the string as shown. The tension in the string is \(\ldots\ldots\) ML.
- A 34
- B 36
- C 38
- D 40
Answer & Solution
Correct Answer
(B) 36
Step-by-step Solution
Detailed explanation
\(\begin{aligned} & \omega=\frac{3}{\pi} \times 2 \pi=6 \mathrm{rad} / \mathrm{s} \\ & R=L \sin \theta\end{aligned}\) and \(T=M \sqrt{g^2+\omega^4 R^2}\) Also, \(T \sin \theta=M \omega^2 \cdot L \sin \theta\)…
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
- The pitch and the number of divisions, on the circular scale, for a given screw gauge are \(0.5\,mm\) and \(100\) respectively. When the screw gauge is fully tightened without any object, the zero of its circular scale lies \(3\) divisions below the mean line. The readings of the main scale and the circular scale for a thin sheet, are \(5.5\,mm\) and \(48\) respectively, the thickness of this sheet isJEE Mains 2019 Hard
- The position of the image formed by the combination of lenses is _______. \(\mathrm{f}_1=10 \mathrm{~cm} \quad \mathrm{f}_2=10 \quad \mathrm{f}_3=30 \mathrm{~cm}\)
JEE Mains 2024 Hard - Two satellite \(A\) and \(B\) go round a planet in circular orbits having radii \(4 R\) and \(R\) respectively. If the speed of \(\mathrm{A}\) is \(3 v\), the speed of \(\mathrm{B}\) will be _______.JEE Mains 2024 Hard
- What is the position and nature of image formed by lens combination shown in figure? (\(f_1, f_2\) are focal lengths)
JEE Mains 2019 Hard - Identify the physical quantity that cannot be measured using spherometer :JEE Mains 2024 Hard
- A microscope was initially placed in air (refractive index \(1)\). It is then immersed in oil (refractive index \(2)\). For a light whose wavelength in air is \(\lambda\), calculate the change of microscope's resolving power due to oil and choose the correct option.JEE Mains 2022 Medium
More PYQs from JEE Mains
- If the vectors, \(\overrightarrow{\mathrm{p}}=(a+1) \hat{\mathrm{i}}+a \hat{\mathrm{j}}+a \hat{\mathrm{k}}\) ; \(\overrightarrow{\mathrm{q}}=\mathrm{a} \hat{\mathrm{i}}+(\mathrm{a}+1) \hat{\mathrm{j}}+\mathrm{a} \hat{\mathrm{k}}\) and \(\overrightarrow{\mathrm{r}}=\mathrm{a} \hat{\mathrm{i}}+\mathrm{a} \hat{\mathrm{j}}+(\mathrm{a}+1) \hat{\mathrm{k}}(\mathrm{a} \in \mathrm{R})\) are coplanar and \(3(\overrightarrow{\mathrm{p}} \cdot \overrightarrow{\mathrm{q}})^{2}-\lambda|\overrightarrow{\mathrm{r}} \times \overrightarrow{\mathrm{q}}|^{2}=0,\) then the value of \(\lambda\) isJEE Mains 2020 Hard
- Let \(f:(a, b) \rightarrow R\) be twice differentiable function such that \(f(x)=\int_{a}^{x} g(t) d t\) for a differentiable function \(g(x) .\) If \(f(x)=0\) has exactly five distinct roots in \((a, b)\), then \(g(x) g^{\prime}(x)=0\) has at least:JEE Mains 2021 Hard
- Monochromatic light is incident on a glass prism of angle \(A\). If the refractive index of the material of the prism is \(μ\), a ray, incident at an angle \(\theta\), on the face \(AB\) would get transmitted through the face \(AC\) of the prism provided
JEE Mains 2015 Hard - The mean and standard deviation of the marks of \(10\) students were found to be \(50\) and \(12\) respectively. Later, it was observed that two marks \(20\) and \(25\) were wrongly read as \(45\) and \(50\) respectively. Then the correct variance is \(............\).JEE Mains 2023 Hard
- The sum of first \(9\) terms of the series \(\frac{{{1^3}}}{1} + \frac{{{1^3} + {2^3}}}{{1 + 3}} + \frac{{{1^3} + {2^3} + {3^3}}}{{1 + 3 + 5}} + .\;.\;.\;.\)JEE Mains 2015 Hard
- If \(\int_{0}^{\sqrt{3}} \frac{15 x^{3}}{\sqrt{1+x^{2}+\sqrt{\left(1+x^{2}\right)^{3}}}} d x=\alpha \sqrt{2}+\beta \sqrt{3}\), where \(\alpha, \beta\) are integers, then \(\alpha+\beta\) is equal to.JEE Mains 2022 Hard