KCET · Physics · Oscillations
A particle executes SHM with amplitude \(0.2 \mathrm{~m}\) and time period \(24 \mathrm{~s}\). The time required it to move from the mean position to a point \(0.1 \mathrm{~m}\) from the mean position is
- A \(12 \mathrm{~s}\)
- B \(2 \mathrm{~s}\)
- C \(8 \mathrm{~s}\)
- D \(3 \mathrm{~s}\)
Answer & Solution
Correct Answer
(B) \(2 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
As the particle starts from the mean position,
\(\mathrm{x}=\mathrm{A} \sin \omega \mathrm{t}=\mathrm{A} \sin \frac{2 \pi}{\mathrm{T}} \mathrm{t}\)
or
\(0.1=0.2 \sin \frac{2 \pi}{24} t\)
or \(\quad \sin \frac{\pi}{12} \mathrm{t}=\frac{1}{2} \Rightarrow \sin \frac{\pi}{12} \mathrm{t}=\sin \frac{\pi}{6}\) or
\(\mathrm{x}=\mathrm{A} \sin \omega \mathrm{t}=\mathrm{A} \sin \frac{2 \pi}{\mathrm{T}} \mathrm{t}\)
or
\(0.1=0.2 \sin \frac{2 \pi}{24} t\)
or \(\quad \sin \frac{\pi}{12} \mathrm{t}=\frac{1}{2} \Rightarrow \sin \frac{\pi}{12} \mathrm{t}=\sin \frac{\pi}{6}\) or
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
- Which of the following properties is 'False' for a bar magnet?KCET 2017 Easy
- In Young's double slit experiment the source is white light. One slit is covered with red filter and
the other with blue filter. There shall beKCET 2016 Easy - In refraction, light waves are bent on passing from one medium to second medium because, in the second mediumKCET 2021 Easy
- A hot filament liberates an electron with zero initial velocity. The anode potential is \(1200 \mathrm{~V}\). The speed of the electron when it strikes the anode isKCET 2020 Easy
- The magnetic flux linked with a coil varies as \( \phi=3 t^{2}+4 t+9 . \) The magnitude of the emf
induced at \( t=2 \) seconds isKCET 2018 Easy - The displacement of a particle executing SHM is given by \(x=3 \sin \left[2 \pi t+\frac{\pi}{4}\right]\), where \(x\) is in metre and \(t\) is in seconds. The amplitude and maximum speed of the particles isKCET 2022 Medium
More PYQs from KCET
- In which one of the following pairs, both the elements does not have \((n-1) d^{10} n s^2\) configuration in its elementary state?KCET 2023 Easy
- The resistance of \(0.1 \mathrm{M}\) weak acid \(\mathrm{H} A\) in a conductivity cell is \(2 \times 10^3 \mathrm{Ohm}\). The cell constant of the cell is \(0.78 \mathrm{C} \mathrm{m}^{-1}\) and \(\lambda_{\mathrm{m}}^{\circ}\) of acid \(\mathrm{H} A\) is \(390 \mathrm{~S} \mathrm{~cm}^2 \mathrm{~mol}^{-1}\). The \(\mathrm{pH}\) of the solution isKCET 2023 Hard
- The organic compound
can be classified as ______KCET 2025 Easy - The area of the region bounded by the curve \( y=\cos x \) between \( x=0 \) and \( x=\pi \) isKCET 2018 Easy
- For the reaction \(2 \mathrm{HI}(g) \rightleftharpoons \mathrm{H}_{2}(g)+\mathrm{I}_{2}(g)-\mathrm{Q} \mathrm{kJ}\), the equilibrium constant depends uponKCET 2008 Easy
- Which of the following compound of Xenon has pyramidal geometry?KCET 2015 Easy