MHT CET · Physics · Oscillations
The displacement of the particle executing linear S.H.M. is \(\mathrm{x}=0.25 \mathrm{sin}(11 \mathrm{t}+0.5) \mathrm{m}\). The period of S.H.M. is \(\left(\pi=\frac{22}{7}\right)\)
- A \(\frac{2}{7} \mathbf{S}\)
- B \(\frac{4}{7} \mathrm{~S}\)
- C \(\frac{3}{7} \mathrm{~S}\)
- D \(\frac{1}{7}\) S
Answer & Solution
Correct Answer
(B) \(\frac{4}{7} \mathrm{~S}\)
Step-by-step Solution
Detailed explanation
Comparing with standard equation of S.H.M.
\(x=A \sin (\omega t+\phi)\)
we get \(\omega=11\)
\(\therefore T=\frac{2 \pi}{\omega}=\frac{2 \times 22}{11 \times 7}=\frac{4}{7} \kappa\)
\(x=A \sin (\omega t+\phi)\)
we get \(\omega=11\)
\(\therefore T=\frac{2 \pi}{\omega}=\frac{2 \times 22}{11 \times 7}=\frac{4}{7} \kappa\)
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
- A hollow sphere is filled with water through the small hole in it. It is then hung by a long thread and made to oscillate. As the water slowly flow out of the hole at the bottom, the period of oscillation willMHT CET 2008 Easy
- If the length of an open organ pipe is \(33.3 \mathrm{~cm}\), then the frequency of fifth overtone is [Neglect end correction, velocity of sound \(=333 \mathrm{~m} / \mathrm{s}\) ]MHT CET 2023 Hard
- If the maximum efficiency of a full wave rectifier is \(\mathrm{x} \%\) and that of half wave rectifier is \(\mathrm{y} \%\), then the relation between \(\mathrm{x}\) and \(\mathrm{y}\) isMHT CET 2023 Easy
- A \(100 \mathrm{mH}\) coil carries a current of \(1 \mathrm{~A}\). Energy stored in the form of magnetic field isMHT CET 2023 Medium
- A wire of length \(1 \mathrm{~m}\) is moving at a speed of \(2 \mathrm{~m} / \mathrm{s}\) perpendicular homogenous magnetic field of \(0.5 \mathrm{~T}\). The ends of the wire are joined to resistance \(6 \Omega\). The rate at which work is being done to keep the wire moving at that speed isMHT CET 2021 Easy
- The bob of simple pendulum of length ' \(L\) ' is released from a position of small angular displacement \(\theta\). Its linear displacement at time ' \(\mathrm{t}\) ' is ( \(\mathrm{g}=\) acceleration due to gravity)MHT CET 2023 Hard
More PYQs from MHT CET
- Select the correct decreasing order of boiling points of compounds from the following.MHT CET 2025 Medium
- When a capacitor is connected in series LR circuit, the alternating current flowing in the circuitMHT CET 2020 Medium
- Calculate the density of metal having molar mass \(210 \mathrm{~g} \mathrm{~mol}^{-1}\) that forms simple cubic unit cell. \(\left(\mathrm{a}^3 \cdot \mathrm{N}_{\mathrm{A}}=21.5 \mathrm{~cm}^3 \mathrm{~mol}^{-1}\right)\)MHT CET 2023 Medium
- If \(\mathrm{y}=\sqrt{x+\sqrt{\mathrm{y}+\sqrt{x+\sqrt{\mathrm{y}+\ldots \ldots \infty}}}}\), then \(\frac{\mathrm{dy}}{\mathrm{d} x}=\)MHT CET 2025 Medium
- If the points \(\mathrm{A}(2-x, 2,2), \mathrm{B}(2,2-y, 2), \mathrm{C}(2,2,2-z)\) and \(\mathrm{D}(1,1,1)\) are coplanar, then the locus of point \(\mathrm{P}(x, y, z)\) isMHT CET 2025 Medium
- The area of the parallelogram with vertices \(\mathrm{A}(1,2,3), \mathrm{B}(1,3, \mathrm{a})\), \(C(3,8,6)\) and \(D(3,7,3)\) is \(\sqrt{265}\) sq. units, then \(a=\)MHT CET 2021 Medium