AP EAMCET · PHYSICS · Oscillations
The amplitudes of a damped harmonic oscillator after 2 and 4 seconds are \(A_1\) and \(A_2\) respectively. If the initial amplitude of the oscillator is \(\mathrm{A}_0\), then
- A \(\mathrm{A}_1=\sqrt{\mathrm{A}_0 \mathrm{~A}_2}\)
- B \(\mathrm{A}_2=\sqrt{\mathrm{A}_0 \mathrm{~A}_1}\)
- C \(\mathrm{A}_0=\sqrt{\mathrm{A}_1 \mathrm{~A}_2}\)
- D \(\mathrm{A}_1=\frac{\mathrm{A}_0+\mathrm{A}_2}{2}\)
Answer & Solution
Correct Answer
(A) \(\mathrm{A}_1=\sqrt{\mathrm{A}_0 \mathrm{~A}_2}\)
Step-by-step Solution
Detailed explanation
In damping harmonic oscillator, amplitude \[ \begin{aligned} & A=A_0 e^{-b t} \\ & \therefore A_1=A_0 e^{-b \times 2} \Rightarrow \frac{A_1}{A_0}=e^{-2 b} \end{aligned} \] And…
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
- Assertion (A) A room can be cooled by opening the door of a refrigerator in it.
Reason (R) Heat always flows from a body at higher temperature to a body at lower temperature.AP EAMCET 2018 Easy - Two cars \(A\) and \(B\) are going around concentric circular paths of radii \(R_A\) and \(R_B\). If the two cars complete the circular paths in the same time, then the ratio of angular speed of \(A\) and \(B\) isAP EAMCET 2020 Easy
- In amplitude modulation of waves, the maximum amplitude is 30 mV and minimum amplitude is 5 mV, then the modulation index isAP EAMCET 2025 Easy
- At \(t=0\), a particle executing SHM with a time period \(3 \mathrm{~s}\) is in phase with another particle executing SHM. The time period of the second particle is \(T\) (less than \(3 \mathrm{~s}\) ). If they are again in the same phase for the third time after \(45 \mathrm{~s}\), then the value of \(T\) is .... .AP EAMCET 2018 Easy
- Two parallel rails of a railway track insulated from each other and with the ground are connected to a millivoltmeter. The distance between the rails is one metre. A train is travelling with a velocity of \(72 \mathrm{~km} / \mathrm{h}\) along the track. The reading of the millivoltmeter (in \(\mathrm{mV}\) ) is (vertical component of the earth's magnetic induction is \(2 \times 10^{-5} \mathrm{~T}\) )AP EAMCET 2005 Hard
- Total emf produced in a thermocouple does not depend onAP EAMCET 2012 Easy
More PYQs from AP EAMCET
- \(6 \mathrm{~g}\) of a non-volatile solute \((\mathrm{x})\) is dissolved in \(100 \mathrm{~g}\) of water. The relative lowering of vapour pressure of resultant solution is 0.006 . What is the molar mass (in \(\mathrm{g} \mathrm{mol}^{-1}\) ) of \(\mathrm{x}\) ?AP EAMCET 2023 Medium
- If \(f: A \rightarrow B\) is an onto function such that \(f(x)=\sqrt{|x|-x}+\frac{1}{\sqrt{|x|-x}}\), then \(A\) and \(B\) are respectively.AP EAMCET 2019 Easy
- The random variable \(\mathrm{X}\) has Binomial distribution \(\mathrm{B}(20,0.4)\). Then \(5-5 \mathrm{P}(\mathrm{X} \geq 2)=\)AP EAMCET 2022 Medium
- Observe the following statements.
I. Sucrose has glycosidic linkage.
II. Cellulose is present in both plants and animals.
III. Lactose contains D-galactose and D-glucose units.
Which of the following statements are correct?AP EAMCET 2016 Easy - The sum of the rational term in the binomial expansion of \(\left(\sqrt{2}+3^{1 / 5}\right)^{10}\) isAP EAMCET 2024 Easy
- The principle quantum number ' \(n\) ' corresponding to the exited state of \(\mathrm{He}^{+}\)ion, if on transition to the ground state two photons in succession with wavelength \(1026 \mathrm{~A}^{\circ}\) and \(304 \mathrm{~A}^{\circ}\) are emitted ( \(\mathrm{R}=1.097 \times 10^7 \mathrm{~m}^{-1}\) )AP EAMCET 2024 Medium