COMEDK · Physics · 15. Oscillations
A particle is executing simple harmonic motion. The displacement of the particle from the mean position in 2 second is equal to \(\dfrac{1}{\sqrt{2}}\) times its amplitude. What is the period of oscillation of the particle ?
- A \(\mathrm{T}=16 \mathrm{~s}\)
- B \(\mathrm{T}=4 \mathrm{~s}\)
- C \(\mathrm{T}=2 \mathrm{~s}\)
- D \(\mathrm{T}=8 \mathrm{~s}\)
Answer & Solution
Correct Answer
(A) \(\mathrm{T}=16 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
The displacement of a particle in simple harmonic motion is given by \(x(t) = A \sin(\omega t + \phi)\). Assuming the particle starts from the mean position at \(t = 0\), we have \(\phi = 0\), so \(x(t) = A \sin(\omega t)\). Given that at \(t = 2\) s,…
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
- For a cell, \(V\) - \(I\) graph is given below.
Which of the following options gives correct value of emf of cell and its internal resistance?COMEDK 2024 Easy - A cell of emf 5 V and negligible internal resistance is connected across a conducting wire of cross-sectional area \(2 \mathrm{~mm}^2\). If the electron density in the wire is \(5 \times 10^{28}\) and the drift velocity of the electrons is \(0.125 \mathrm{mms}^{-1}\) then the resistance offered by the wire is:COMEDK 2025 Medium
- An atom with one electron has ionization energy of 24 eV. An electron in this atom makes a transition from an excited energy level, where E = -15 eV, to the ground state. What is the wavelength of the emitted photon from this transition?COMEDK 2026 Medium
- The formula of capacitative reactance isCOMEDK 2021 Easy
- Liquid crystal phase which are more close to the solid than to liquid isCOMEDK 2016 Easy
- Three identical conducting balls A, B and C, each of mass m, are thrown upward at an angle \(\Theta\) to the horizontal with an initial speed \(v\) in a region of space that has a uniform electric field \(E\) downward along with the gravitational field \(g\). A is positively charged, B is uncharged and C is negatively charged. Rank the ranges R of these three balls in increasing order.COMEDK 2025 Medium
More PYQs from COMEDK
- A five-digits number is formed by using the digits \(1,2,3,4,5\) with no repetition. The probability that the numbers 1 and 5 are always together, isCOMEDK 2023 Easy
- Consider the following compounds , \(\mathrm{CH}_3 \mathrm{Cl}(\mathrm{A}), \quad \mathrm{CH}_3 \mathrm{Br}(\mathrm{B}), \quad \mathrm{CH}_2 \mathrm{Br}_2(\mathrm{C}), \quad \mathrm{CHBr}_3(\mathrm{D})\) The correct order of boiling points of the compounds is:COMEDK 2025 Medium
- A cylinder of fixed capacity 44.81 contains hydrogen gas at STP. What is the amount of heat needed to raise the temperature of the gas in the cylinder by \(20^{\circ} \mathrm{C}\) ? (\(R=8.31 \mathrm{~J} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\))COMEDK 2024 Medium
- \(\int e^{x} \cdot x^{5} d x\) isCOMEDK 2019 Hard
- The voltage – current graph for a metal wire of uniform area of cross section at two different temp T and T' is shown. Then choose the correct statement:
COMEDK 2026 Easy - The permanganate ion in acid medium acts as an oxidant and gets converted to its lower oxidation state. What would be the spin only magnetic moment of such reduced manganese ion?COMEDK 2024 Medium