MHT CET · Physics · Oscillations
If a simple pendulum oscillates with an amplitude of \(50 \mathrm{~mm}\) and time period of \(2 \mathrm{~s}\), then its maximum velocity is
- A \(0.10 \mathrm{~ms}^{-1}\)
- B \(0.15 \mathrm{~ms}^{-1}\)
- C \(0.8 \mathrm{~ms}^{-1}\)
- D \(0.26 \mathrm{~ms}^{-1}\)
Answer & Solution
Correct Answer
(B) \(0.15 \mathrm{~ms}^{-1}\)
Step-by-step Solution
Detailed explanation
\(v_{\max }=a \omega=a \times \frac{2 \pi}{T}=\left(50 \times 10^{-3}\right) \times \frac{2 \pi}{2}\)
\(=0.15 \mathrm{~ms}^{-1}\)
\(=0.15 \mathrm{~ms}^{-1}\)
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 refracting angle of a glass prism is \(30^{\circ}\). A ray is incident on one of the faces and is perpendicular to it. The angle of deviation \(\delta\) between the incident ray and that leaves the prism is
(Refractive index of glass \(=1.5)\left(\sin \left(30^{\circ}\right)=0.5, \sin (48.6)=0.75\right)\)MHT CET 2022 Medium - The driver of a car travelling with a speed ' \(\mathrm{V}_1\) ' \(\mathrm{m} / \mathrm{s}\) towards a wall sounds a siren of frequency ' \(n\) ' Hz. If the velocity of sound in air is ' \(V\) ' \(\mathrm{m} / \mathrm{s}\), then the frequency of the sound reflected from the wall and as heard by the driver in Hz isMHT CET 2024 Easy
- Railway track is made of steel segments separated by small gaps to allow for linear expansion. The segment of track is 10 m long when laid at temperature \(17^{\circ} \mathrm{C}\). The maximum temperature that can be reached is \(45^{\circ} \mathrm{C}\). Increase in length of the segment of railway track is ' \(x\) ' \(\times 10^{-5} \mathrm{~m}\). The value of ' \(x\) ' is \(\left(\alpha_{\text{steel }}=\right.\) \(\left.1.2 \times 10^{-5} /{ }^{\circ} \mathrm{C}\right)\)MHT CET 2024 Medium
- In hydrogen atom, an electron of charge ' e ' revolves in an orbit of radius ' \(r\) ' with speed ' \(v\) '. The magnetic moment associated with electron isMHT CET 2025 Medium
- A composite slab consists of two materials having coefficient of thermal conductivity \(K\) and \(2 \mathrm{~K}\), thickness \(\mathrm{x}\) and \(4 \mathrm{x}\) respectively. The temperature of the two outer surfaces of a composite slab are \(\mathrm{T}_2\) and \(\mathrm{T}_1\left(\mathrm{~T}_2>\mathrm{T}_1\right)\). The rate of heat transfer through the slab in a steady state is \(\left[\frac{\mathrm{A}\left(\mathrm{T}_2-\mathrm{T}_1\right) \mathrm{K}}{\mathrm{x}}\right] \cdot \mathrm{f}\) where ' \(\mathrm{f}\) ' is equal toMHT CET 2023 Hard
- A sample of a gas expends from volume \(V_1{ }^{\prime}\) to \(V_2\) The amount of work done by the gas is maximum when the expansion isMHT CET 2022 Easy
More PYQs from MHT CET
- Match Column I with Column II.
Column-I Column - II i. Radial translocation a. Translocation of food from phloem to cortex ii. Tangential translocation b. Translocation of food from phloem to pith iii. Longitudinal translocation c. Translocation of food from source to sink MHT CET 2023 Easy - Identify sequential reactions involved in Sol-Gel process .MHT CET 2025 Easy
- For a particle performing linear S.H.M., its average speed over one oscillation is
( \(A=\) amplitude of S.H.M., \(n=\) frequency of oscillation)MHT CET 2022 Easy - If cardiac output is 4200 ml/min, then x beats/min. is the heart rate and y is the term for pulse rate.MHT CET 2024 Easy
- Which is the correct increasing order of atomic radii of \(\mathrm{Na}, \mathrm{K}, \mathrm{Mg}, \mathrm{Rb}\) ?MHT CET 2025 Easy
- Two waves are represented by the equation, \(\mathrm{y}_1=\mathrm{A} \sin (\omega \mathrm{t}+\mathrm{kx}+0.57) \mathrm{m}\) and \(\mathrm{y}_2=\mathrm{A} \cos (\omega \mathrm{t}+\mathrm{kx}) \mathrm{m}\), where \(\mathrm{x}\) is in metre and \(\mathrm{t}\) is in second. What is the phase difference between them?MHT CET 2021 Medium