TS EAMCET · Physics · Oscillations
A body is oscillating in simple harmonic motion according to the equation \(x=6 \cos \left(2 \pi t+\frac{\pi}{3}\right) \mathrm{m}\). The magnitude of the acceleration (in \(\mathrm{m} / \mathrm{s}^2\) ) of the body at \(t=1 \mathrm{~s}\)
- A \(12 \pi^2\)
- B \(12 \pi\)
- C \(4 \pi^2\)
- D \(4 \pi\)
Answer & Solution
Correct Answer
(A) \(12 \pi^2\)
Step-by-step Solution
Detailed explanation
Displacement equation of simple harmonic motion is given as \(x=6 \cos \left(2 \pi t+\frac{\pi}{3}\right)\) \(\therefore\) Velocity,…
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
- If the displacement of a body is given by \(x=3 \cos \left[2 \pi t+\frac{\pi}{4}\right] \mathrm{m}\), then the acceleration of the body at \(t=2 \mathrm{~s}\) isTS EAMCET 2019 Easy
- The mutual inductance of two coils is 8 mH. The current in one coil changes according to the equation \(I=12\) \(\sin 100 t\), where \(' I\) is in ampere and ' \(t\) ' is time in second. The maximum value of emf induced in the second coil isTS EAMCET 2024 Easy
- Two cars \(A\) and \(B\) are moving with speeds \(v_A=120 \mathrm{~km} / \mathrm{h}\) and \(v_B=50 \mathrm{~km} / \mathrm{h}\) respectively in the directions as indicated by the arrow in the figure below. What is the relative speed of the car \(B\) with respect to car \(A\) ?
TS EAMCET 2020 Easy - A swimming pool has a depth of and area . Calculate fractional change of water at the bottom of the swimming pool. Given that the bulk modulus of water is , and density of water .TS EAMCET 2022 Easy
- If the rate of change of electric field across the plates of a parallel plate capacitor is \(E\) and the displacement current is I, then the area of one plate of the capacitor is ( \(\varepsilon_{\mathrm{o}}\) is permittivity of free space)TS EAMCET 2025 Medium
- When unpolarised light from air incidents on the surface of a medium of refractive index \(\sqrt{3}\), then the reflected light is totally polarised. The angle of refraction isTS EAMCET 2025 Medium
More PYQs from TS EAMCET
- Two slabs \(A\) and \(B\) of different materials but of the same thickness are joined end to end to form a composite slab. The thermal conductivities of \(A\) and \(B\) are \(k_1\) and \(k_2\) respectively. A steady temperature difference of \(12^{\circ} \mathrm{C}\) is maintained across the composite slab. If \(k_1=\frac{k_2}{2}\), the temperature difference across slab \(A\) isTS EAMCET 2011 Easy
- A source of sound whose frequency is \(1000 \mathrm{~Hz}\) is moving with a speed \(33 \mathrm{~m} / \mathrm{s}\). The waves reflected by a fixed obstacle are registered by a receiver that moves together with the source. The speed of the sound waves is \(330 \mathrm{~m} / \mathrm{s}\), then the frequency registered by the receiver isTS 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 \(2 \times 10^{-5} \mathrm{~T}\) )TS EAMCET 2005 Hard
- Identify the correct statement among the following.TS EAMCET 2019 Easy
- \(9 \mathrm{~kg}\) solution is poured into a glass U-tube as shown in the figure below. The tube's inner diameter is \(2 \sqrt{\frac{\pi}{5}} \mathrm{~m}\) and the solution oscillates freely up and down about its position of equilibriwm \((x=0)\). The period of oscillation in seconds is \(\left(1 \mathrm{~m}^3\right.\) of solution has a mass \(\mu=900 \mathrm{~kg}, g=10 \mathrm{~m} / \mathrm{s}^2\), ignore frictional and swrface tension effects)
TS EAMCET 2016 Hard - Two solid spheres \(A\) and \(B\) each of radius \(R\) are made of materials of densities \(\rho_A\) and \(\rho_B\) respectively. Their moments of inertia about a diameter are \(I_A\) and \(I_B\) respectively. The value of \(\frac{I_A}{I_B}\) isTS EAMCET 2012 Easy