JEE Mains · Physics · STD 11 - 4.1 newtons laws of motion
A body of mass \(m\) is suspended by two strings making angles \(\theta_1\) and \(\theta_2\) with the horizontal ceiling with tensions \(T_1\) and \(T_2\) simultaneously. \(T_1\) and \(T_2\) are related by \(T_1=\sqrt{3} T_2\). the angles \(\theta_1\) and \(\theta_2\) are
- A \(\theta_1=30^{\circ} \theta_2=60^{\circ}\) with \(\mathrm{T}_2=\frac{3 \mathrm{mg}}{4}\)
- B \(\theta_1=60^{\circ} \theta_2=30^{\circ}\) with \(\mathrm{T}_2=\frac{\mathrm{mg}}{2}\)
- C \(\theta_1=45^{\circ} \theta_2=45^{\circ}\) with \(\mathrm{T}_2=\frac{3 \mathrm{mg}}{4}\)
- D \(\theta_1=30^{\circ} \theta_2=60^{\circ}\) with \(\mathrm{T}_2=\frac{4 \mathrm{mg}}{5}\)
Answer & Solution
Correct Answer
(B) \(\theta_1=60^{\circ} \theta_2=30^{\circ}\) with \(\mathrm{T}_2=\frac{\mathrm{mg}}{2}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{T}_1 \sin \theta_1+\mathrm{T}_2 \sin \theta_2=\mathrm{mg} \& \mathrm{~T}_1=\sqrt{3} \mathrm{~T}_2 \\ & \Rightarrow \mathrm{~T}_2\left[\sqrt{3} \sin \theta_1+\sin \theta_2\right]=\mathrm{mg} \\ & \text { for } \theta_1=60^{\circ} \& \theta_2=30^{\circ}…
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 diatomic gas, having \(C_{p}=\frac{7}{2} R\) and \(C _{ v }=\frac{5}{2} R ,\) is heated at constant pressure. The ratio \(dU : dQ : dW :\)JEE Mains 2021 Hard
- In a perfectly inelastic collision, two spheres made of the same material with masses 15 kg and 25 kg , moving in opposite directions with speeds of \(10 m / s\) and \(30 m / s\), respectively, strike each other and stick together. The rise in temperature (in \({ }^{\circ} C\) ), if all the heat produced during the collision is retained by these spheres, is :
(specific heat of sphere material \(31 cal / kg .{ }^{\circ} C\) and \(1 cal =4.2 J)\)JEE Mains 2026 Easy - Identify the valid statements relevant to the given circuit at the instant when the key is closed.
A. There will be no current through resistor \(R\).
B. There will be maximum current in the connecting wires.
C. Potential difference between the capacitor plates A and B is minimum.
D. Charge on the capacitor plates is minimum.
Choose the correct answer from the options given below:JEE Mains 2025 Easy - A big drop is formed by coalescing \(1000\) small identical drops of water. If \(E_1\) be the total surface energy of \(1000\) small drops of water and \(E_2\) be the surface energy of single big drop of water, the \(E_1\) : \(\mathrm{E}_2\) is \(\mathrm{x}: 1\) where \(x\) = _____.JEE Mains 2024 Hard
- An electric bulb rated \(50 \mathrm{~W}-200 \mathrm{~V}\) is connected across a \(100 \mathrm{~V}\) supply. The power dissipation of the bulb is _______.JEE Mains 2024 Hard
- A porter lifts a heavy suitcase of mass \(80\, {kg}\) and at the destination lowers it down by a distance of \(80\, {cm}\) with a constant velocity. Calculate the workdone by the porter in lowering the suitcase. (take \(g=9.8\, {ms}^{-2}\) ) (In \({J}\))JEE Mains 2021 Medium
More PYQs from JEE Mains
- The line \(y=x+1\) meets the ellipse \(\frac{x^{2}}{4}+\frac{y^{2}}{2}=1\) at two points \(P\) and \(Q\). If \(r\) is the radius of the circle with \(PQ\) as diameter then \((3 r )^{2}\) is equal toJEE Mains 2022 Hard
- A uniform thin rod \(AB\) of length \(L\) has linear mass density \(\mu \left( x \right) = a + \frac{{bx}}{L}\) , where \(x\) is measured from \(A\). If the \(CM\) of the rod lies at a distance of \(\left( {\frac{7}{12}} \right)L\) from \(A\), then \(a\) and \(b\) are related asJEE Mains 2015 Hard
- A moving coil galvanometer allows a full scale current of \(10^{-4}\, A\). A series resistance of \(2\, M\,\Omega \) is required to convert the above galvanometer into a voltmeter of range \(0 -5\, V\). Therefore the value of shunt resistance required to convert the above galvanometer into a ammeter of range \(0-10\, mA\) is....\(\Omega \)JEE Mains 2019 Medium
- The value of \( \int_{-\pi/6}^{\pi/6}(\frac{\pi+4x^{11}}{1-\sin(|x|+\pi/6)}) dx \) is equal to:JEE Mains 2026 Hard
- Let \(S=\left\{z \in C : z^{2}+\bar{z}=0\right\}\). Then \(\sum \limits_{z \in S}(\operatorname{Re}(z)+\operatorname{Im}(z))\) is equal to\(......\)JEE Mains 2022 Hard
- Let f and g be functions satisfying \( f(x+y)=f(x)f(y), f(1)=7 \) and \( g(x+y)=g(xy), g(1)=1 \) for all \( x, y\in\mathbb{N} \). If \( \sum_{x=1}^{n}(\frac{f(x)}{g(x)})=19607, \) then n is equal to:JEE Mains 2026 Medium