JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
An \(L-\) shaped object, made of thin rods of uniform mass density, is suspended with a string as shown in figure. If \(AB = BC\), and the angle made by \(AB\) with downward vertical is \(\theta\) then

- A \(\tan \,\theta = \frac{1}{{2\sqrt 3 }}\)
- B \(\tan \,\theta = \frac{1}{3}\)
- C \(\tan \,\theta = \frac{2}{{\sqrt 3 }}\)
- D \(\tan \,\theta = \frac{1}{2}\)
Answer & Solution
Correct Answer
(B) \(\tan \,\theta = \frac{1}{3}\)
Step-by-step Solution
Detailed explanation
Lets considered mass of each rod is m for stable equilibrium the torque about point \(O\) should be zero. Torque balance about \(O\)…
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 surface of water in a water tank of cross section area \(750\,cm ^2\) on the top of a house is \(h m\). above the tap level. The speed of water coming out through the tap of cross section area \(500\,mm ^2\) is \(30\,cm / s\). At that instant, \(\frac{d h}{d t}\) is \(x \times 10^{-3} m / s\). The value of \(x\) will be \(.............\).JEE Mains 2023 Medium
- A concave mirror produces an image of an object such that the distance between the object and image is 20 cm . If the magnification of the image is ' -3 ', then the magnitude of the radius of curvature of the mirror is :JEE Mains 2025 Easy
- Taking the wavelength of first Balmer line in hydrogen spectrum (\( n = 3\) to \(n = 2\) ) as \(660\,nm ,\) the wavelength of the \(2^{nd}\) Balmer line ( \(n =4\) to \(n = 2\) ) will be....\(nm\)JEE Mains 2019 Hard
- A Carnot freezer takes heat from water at \(0\,^oC\) inside it and rejects it to the room at a temperature of \(27\,^oC\). The latent heat of ice is \(336 \times 10^3\, J\,kg^{-1}\). lf \(5\, kg\) of water at \(0\,^oC\) is converted into ice at \(0\,^oC\) by the freezer, then the energy consumed by the freezer is close toJEE Mains 2016 Hard
- The electric field of light wave is given as \(\vec E\, = \,{10^{ - 3}}\,\cos \,\,\left( {\frac{{2\pi x}}{{5 \times {{10}^{ - 7}}}} - 2\pi \times 6 \times {{10}^{14}}t} \right)\hat x\frac{N}{C}\). This light falls on a metal plate of work function \(2\,eV.\) The stopping potential of the photoelectrons is ................ \(V\)JEE Mains 2019 Hard
- A sample of gas expands from \(V_1\) to \(V _2\). In which of the following, the work done will be greatest ?
JEE Mains 2013 Medium
More PYQs from JEE Mains
- Let f: R→R be a twice differentiable function such that the quadratic equation \( f(x)m^{2}-2f^{\prime}(x)m+f^{\prime\prime}(x)=0 \) in m, has two equal roots for every \( x\in R \). If \( f(0)=1, f^{\prime}(0)=2 \) and \( (\alpha, \beta) \) is the largest interval in which the function \( f(\log_{e}x-x) \) is increasing, then \( \alpha+\beta \) is equal to:JEE Mains 2026 Hard
- A survey shows that \(73 \%\) of the persons working in an office like coffee, whereas \(65 \%\) like tea. If \(x\) denotes the percentage of them, who like both coffee and tea, then \(x\) cannot beJEE Mains 2020 Medium
- A person travels \(x\) distance with velocity \(v_1\) and then \(x\) distance with velocity \(v_2\) in the same direction. The average velocity of the person is \(v\), then the relation between \(v , v _1\) and \(v _2\) will be :JEE Mains 2023 Medium
- Let \(L\) be a tangent line to the parabola \(y^{2}=4 x-20\) at \((6,2)\) . If \(L\) is also a tangent to the ellipse \(\frac{ x ^{2}}{2}+\frac{ y ^{2}}{ b }=1,\) then the value of \(b\) is equal to ..... .JEE Mains 2021 Medium
- A solid sphere of mass \(1\,kg\) rolls without slipping on a plane surface. Its kinetic energy is \(7 \times 10^{-3}\,J\). The speed of the centre of mass of the sphere is \(.........cm s ^{-1}\).JEE Mains 2023 Medium
- A uniform metallic wire carries a current \(2\,A\). when \(3.4\,V\) battery is connected across it. The mass of uniform metallic wire is \(8.92 \times 10^{-3} \,kg\). density is \(8.92 \times 10^3\,kg / m ^3\) and resistivity is \(1.7 \times 10^{-8} \Omega- m\). The length of wire is \(l=............\,m\)JEE Mains 2023 Medium