JEE Mains · Physics · STD 11 - 6. system of particles and rotational motion
In a physical balance working on the principle of moments, when \(5\, mg\) weight is placed on the left pan, the beam becomes horizontal. Both the empty pans of the balance are of equal mass. Which of the following statements is correct?
- A Left arm is longer than the right arm
- B Both the arms are of same length
- C Left arm is shorter than the right arm
- D Every object that is weighed using this balance appears lighter than its actual weight
Answer & Solution
Correct Answer
(C) Left arm is shorter than the right arm
Step-by-step Solution
Detailed explanation
According to principle of moments when a system is stable or balance, the anticlockwise moment is equal to clockwise moment. i.e., load \( \times \) load arm \(=\) effort \( \times \) effort arm When \(5\, mg\) weight is placed, load arm shifts to left side, hence left arm…
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 ranges and heights for two projectiles projected with the same initial velocity at angles \(42^{\circ}\) and \(48^{\circ}\) with the horizontal are \({R}_{1}, {R}_{2}\) and \({H}_{1}\), \({H}_{2}\) respectively. Choose the correct option:JEE Mains 2021 Medium
- Considering the Bohr model of hydrogen like atoms, the ratio of the ratio of the radius \(5^{\text {th}}\) orbit of the electron in \(\mathrm{Li}^{2+}\) and \(\mathrm{He}^{+}\) is _______.JEE Mains 2025 Easy
- A rectangular loop of wire, supporting a mass \(m\), hangs with one end in a uniform magnetic field \(\overrightarrow B \) pointing out of the plane of the paper. A clockwise current is set up such that \(i > mg/Ba\), where \(a\) is the width of the loop. Then
JEE Mains 2013 Medium - Two simple harmonic waves having equal amplitudes of \(8\,cm\) and equal frequency of \(10\,Hz\) are moving along the same direction. The resultant amplitude is also \(8\,cm\). The phase difference between the individual waves is \(..................\) degree.JEE Mains 2023 Medium
- A physical quantity \(Q\) is found to depend on quantities \(a, b, c\) by the relation \(Q=\frac{a^4 b^3}{c^2}\). The percentage error in \(a\), \(b\) and \(c\) are \(3 \%, 4 \%\) and \(5 \%\) respectively. Then, the percentage error in \(\mathrm{Q}\) is _______.JEE Mains 2024 Hard
- Two nuclei of mass number \(3\) combine with another nucleus of mass number \(4\) to yield a nucleus of mass number \(10\). If the binding energy per nucleon for the mass numbers \(3\), \(4\) and \(10\) are \(5.6\) MeV, \(7.4\) MeV and \(6.1\) MeV, respectively, then in the process, \(\Delta Mc^2 = \) _____ MeV.JEE Mains 2026 Medium
More PYQs from JEE Mains
- Let \(v\) be the solution of the differential equation \(\left(1-x^{2}\right) d y=\left(xy+\left(x^{3}+2\right) \sqrt{1-x^{2}}\right) d x,-1 < x < 1\) and \(y(0)=0\) if \(\int\limits_{-\frac{1}{2}}^{\frac{1}{2}} \sqrt{1-x^{2}} y(x) d x=k\) then \(k^{-1}\) is equal to:JEE Mains 2022 Hard
- A large drum having radius \(R\) is spinning around its axis with angular velocity \(\omega\), as shown in figure. The minimum value of \(\omega\) so that a body of mass M remains stuck to the inner wall of the drum, taking the coefficient of friction between the drum surface and mass M is \(\mu\), is :
JEE Mains 2026 Hard - A tennis ball (treated as hollow spherical shell) starting from \(O\) rolls down a hill. At point \(A\) the ball becomes air borne leaving at an angle of \(30^o\) with the horizontal. The ball strikes the ground at \(B\). What is the value of the distance \(AB\) ? (Moment of inertia of a spherical shell of mass \(m\) and radius \(R\) about its diameter .......... \(m\). \(= \frac {2}{3}\,mR^2\))
JEE Mains 2013 Hard - Let \(\tan A, \tan B\), where \(A, B \in \left(-\dfrac{\pi}{2}, \dfrac{\pi}{2}\right)\), be the roots of the quadratic equation \(x^2 - 2x - 5 = 0\). Then \(20\sin^2\left(\dfrac{A+B}{2}\right)\) is equal to:JEE Mains 2026 Medium
- In a Young's double slit experiment, the intensity at some point on the screen is found to be \(\dfrac{3}{4}\) times of the maximum of the interference pattern. The path difference between the interfering waves at this point is \(\dfrac{\lambda}{x}\) where \(\lambda\) is wavelength of the incident light. The value of \(x\) is _______.JEE Mains 2026 Medium
- Let \(C_{1}\) be the curve obtained by the solution of differential equation \(2 xy \frac{ dy }{ dx }= y ^{2}- x ^{2}, x > 0\) Let the curve \(C _{2}\) be the solution of \(\frac{2 x y}{x^{2}-y^{2}}=\frac{d y}{d x} .\) If both the curves pass through \((1,1),\) then the area enclosed by the curves \(C_{1}\) and \(C _{2}\) is equal to :JEE Mains 2021 Hard