AP EAMCET · PHYSICS · Oscillations
The equation of motion of a particle executing simple harmonic motion is \(4 \frac{\mathrm{d}^2 \mathrm{y}}{\mathrm{dt}^2}+\pi^2 \mathrm{y}=0\) where \(y\) is in metres and \(t\) is in seconds. The time period of oscillation of the particle is
- A \(1 \mathrm{~s}\)
- B \(2 \mathrm{~s}\)
- C \(3 \mathrm{~s}\)
- D \(4 \mathrm{~s}\)
Answer & Solution
Correct Answer
(D) \(4 \mathrm{~s}\)
Step-by-step Solution
Detailed explanation
Equation of motion: \[ \begin{aligned} & 4 \frac{d^2 y}{d t^2}+\pi^2 y=0 \\ & \frac{d^2 y}{d t^2}+\frac{\pi^2}{4} y=0 \end{aligned} \] General equation of motion is \[ \frac{d^2 y}{d t^2}+\omega^2 y=0 \] On compairing, \(\omega^2=\frac{\pi^2}{2^2}\) \[ \omega=\frac{\pi}{2} \]…
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
- Unpolarised light from air incidents on the surface of a transparent medium of refractive index 1.414 such that the reflected light is completely polarised. Match the angles given in List-I with the corresponding values given in List-II.
The correct match is
Codes
\(\begin{array}{llll}
A & B & C & D
\end{array}\)AP EAMCET 2019 Medium - A body starting from rest moving with an acceleration of \(\frac{5}{4} \mathrm{~ms}^{-2}\). The distance travelled by the body in the third second is:AP EAMCET 2024 Easy
- A copper wire of length \(2.4 \mathrm{~m}\) and an aluminum wire of length \(0.7 \mathrm{~m}\), both having diameter \(2 \mathrm{~mm}\), are connected end to end. When stretched by a load, the obtained elongation is found to be \(0.6 \mathrm{~mm}\).The applied load is (Young's modulus of copper \(=1.2 \times 10^{11} \mathrm{Nm}^{-2}\) and Young's modulus of aluminum \(=0.7 \times 10^{11} \mathrm{Nm}^{-2}\) )AP EAMCET 2022 Medium
- Two bodies of masses \(12 \mathrm{~kg}\) and \(6 \mathrm{~kg}\) are projected simultaneously with velocities \(15 \mathrm{~ms}^{-1}\) and \(20 \mathrm{~ms}^{-1}\) respectively from the top of a tower of height \(25 \mathrm{~m}\).
The body of mass \(12 \mathrm{~kg}\) is projected vertically upwards and the body of mass \(6 \mathrm{~kg}\) is projected horizontally. The maximum height reached by the centre of mass of the system of two bodies from the ground.
\[
\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)
\]AP EAMCET 2023 Hard - For better tuning of a series LCR circuit in a communication system, the preferred combination isAP EAMCET 2025 Medium
- A car engine has a power of . The car makes a roundtrip of 1 hour. If the thermal efficiency of the engine is and the ambient temperature is . The energy generated by fuel combustion isAP EAMCET 2022 Medium
More PYQs from AP EAMCET
- The area (in sq units) bounded by the curves
\(y^2=4 x\) and \(x^2=4 y\) isAP EAMCET 2012 Easy - For a right angled triangle having the lengths of two sides as \(2 \sqrt{2}\) and 5, find the length of the third side.AP EAMCET 2020 Easy
- \({ }^{15} P_8=A+8 \cdot{ }^{14} P_7 \Rightarrow A=\)AP EAMCET 2011 Medium
- A body of mass \(M \mathrm{~kg}\) is on the top point of a smooth hemisphere of radius \(5 \mathrm{~m}\). It is released to slide down the surface of the hemisphere. It leaves the surface when velocity is \(5 \mathrm{~m} / \mathrm{s}\). At this instant the angle made by the radius vector of the body with the vertical is (Acceleration due to gravity \(=10 \mathrm{~ms}^{-2}\) )AP EAMCET 2002 Medium
- In \(\triangle A B C\), if \(\mathrm{A}\) is \((1,2), \mathrm{B}\) and \(\mathrm{C}\) lie on \(\mathrm{y}=\mathrm{x}+\alpha\) (where \(\alpha\) is variable), then the locus of the orthocenter of the triangle isAP EAMCET 2022 Medium
- Let be an angle in the standard position such that the point lies on its terminal side, thenAP EAMCET 2021 Easy