WBJEE · Physics · Oscillations
The period of oscillation of a simple pendulum of length \(l\) suspended from the roof of a vehicle, which moves without friction down an inclined plane of inclination \(\alpha\), is given by
- A \(2 \pi \sqrt{\frac{1}{g \cos \alpha}}\)
- B \(2 \pi \sqrt{\frac{1}{g \sin \alpha}}\)
- C \(2 \pi \sqrt{\frac{1}{g}}\)
- D \(2 \pi \sqrt{\frac{1}{\mathrm{~g} \tan \alpha}}\)
Answer & Solution
Correct Answer
(A) \(2 \pi \sqrt{\frac{1}{g \cos \alpha}}\)
Step-by-step Solution
Detailed explanation
Hints: \(\begin{aligned} & \mathrm{g}_{\text {eff }}=\mathrm{g} \cos \alpha \\ & \mathrm{T}=2 \pi \sqrt{\frac{\ell}{\mathrm{g}_{\text {eff }}}} \end{aligned}\)
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
- An electron in Hydrogen atom jumps from the second Bohr orbit to the ground state and the difference between the energies of the two states is radiated in the form of a photon. This photon strikes a material. If the work function of the material is 4.2 eV , then the stopping potential is (Energy of electron in n -th orbit \(=-\frac{13.6}{\mathrm{n}^2} \mathrm{eV}\) )WBJEE 2025 Medium
- The distance between a light source and photoelectric cell is d. If the distance is decreased to \(\frac{d}{2},\) thenWBJEE 2016 Medium
- Two spheres of equal masses but radii \(r_1\) and \(r_2\) are allowed to fall in a liquid of infinite column. The ratio of their terminal velocities isWBJEE 2009 Medium
- The ratio of accelerations due to gravity \(g_{1}:g_{2}\) on the surfaces of two planets is 5: 2 and the ratio of their respective average densities \(\rho_{1}: \rho_{2}\) is 2: 1 . What is the ratio of respective escape velocities \(v_{1}: v_{2}\) from the surface of the planets?WBJEE 2018 Medium
- Eleven equal point charges, all of them having a charge \(+Q\), are placed at all the hour positions of a circular clock of radius \(r\). except at the \(10 \mathrm{h}\) position. What is the clectric field strength at the centre of the clock?WBJEE 2019 Medium
- A particle of mass \(M\) and charge \(q\) is at rest at the mid point between two other fixed similar charges each of magnitude \(Q\) placed a distance \(2 d\) apart. The system is collinear as shown in the figure. The particle is now displaced by a small amount \(x(x< < d)\) along the joining the two charges and is left to itself. It will now oscillate about the mean position with a time period \(\left(\varepsilon_{0}=\right.\) permittivity of free space)
WBJEE 2013 Hard
More PYQs from WBJEE
- Let \(y=\left(\frac{3^{x}-1}{3^{x}+1}\right) \sin x+\log _{e}(1+x) \quad x>-1\) Then, at \(x=0, \frac{d y}{d x}\) equalsWBJEE 2012 Hard
-
What will be the equivalent resistance between the terminals A and B of the infinite resistive network shown in the figure?WBJEE 2020 Hard - If the sum of the squares of the roots of the equation \(x^2-(a-2) x-(a+1)=0\) is least for an appropriate value of the variable parameter \(a\), then the value of ' \(a\) ' will beWBJEE 2025 Medium
- The domain of the function \(f(x)=\sqrt{\cos ^{-1}\left(\frac{1-|x|}{2}\right)}\) isWBJEE 2010 Hard
- 1,4 -dimethylbenzene on heating with anhydrous \(\mathrm{AlCl}_{3}\) and HCl producesWBJEE 2015 Medium
- Three blocks of masses 4 kg. 2 kg. 1 kg respectively are in contact on a frictionless table as shown in the figure. If a force of \(14 \mathrm{N}\) is applied on the 4 kg block, the contact force between the \(4 \mathrm{kg}\) and the \(2 \mathrm{kg}\) block will be
WBJEE 2012 Medium