JEE Advanced Oscillations — practice questions
59 free MCQs with worked solutions. Tap any question for the answer + explanation, or practice them all in the app.
Practice JEE Advanced Oscillations in the app →A particle executes simple harmonic motion (SHM) about its mean position. The restoring force on it is:The time period of a simple pendulum of length $L$ in a gravitational field $g$ is:A particle in SHM has amplitude $A$ and angular frequency $\omega$. Its maximum speed is:The time period of a spring-mass system with mass $m$ and spring constant $k$ is:The total mechanical energy of a particle of mass $m$ in SHM with amplitude $A$ and angular frequency $\omega$In a damped oscillation, the amplitude decreases exponentially as $A(t) = A_0 e^{-\gamma t}$. The time after wA particle moving back and forth over the same path is undergoing:In SHM, the time for one complete oscillation is called:The general equation for SHM is:In SHM, displacement and acceleration are:The angular frequency ω of a spring-mass system with mass m and spring constant k is:Time period of a simple pendulum of length L (small oscillations):A spring-mass system has mass 4 kg and spring constant 100 N/m. Frequency of SHM:For SHM x = 5 sin(2πt), find amplitude and time period:Maximum velocity of a particle in SHM with amplitude A and angular frequency ω:Maximum acceleration of a particle in SHM (amplitude A, angular frequency ω):A particle executing SHM has time period T. Time taken to go from extreme position (x = A) to x = A/2:A simple pendulum of length 1 m has period T (g = 9.8). New length needed to double T:Total energy of SHM particle equals:At the extreme position in SHM, kinetic energy equals:Two springs k1 and k2 in parallel: equivalent spring constant:Two springs k1 and k2 in series: equivalent spring constant:A spring of force constant k is cut into two equal halves. Spring constant of each half:A particle executing SHM has time period T. Time taken to go from extreme to mid-amplitude position:In SHM, when does kinetic energy equal potential energy?A simple pendulum swings with period T on Earth. On Moon (g_moon = g/6), its period:For SHM x = A sin(ωt), find ratio of kinetic energy at t = T/4 to t = T/8:A particle's SHM is described by x = 3 sin(ωt) + 4 cos(ωt). Amplitude of resulting SHM:Time period of a simple pendulum is T. If mass is doubled, period becomes:A particle of mass 0.5 kg has SHM with amplitude 4 cm and time period 0.2 s. Find maximum kinetic energy:A simple pendulum of length 1 m on Earth (g = 10) has frequency:For SHM, the displacement-time graph is:A mass m on a vertical spring of constant k. The equilibrium extension is x0 = mg/k. The mass is set into SHM.Two simple pendulums of lengths 1 m and 4 m start swinging in phase. They will be in phase again after:A particle has SHM with x = A cos(ωt). At t = 0, the particle is at:Phase difference between displacement and velocity in SHM:The total energy of SHM is proportional to:A pendulum bob oscillates as $x(t) = 0.05\cos(2\pi t)$ in metres. Its amplitude and period are:A spring of constant $k = 100$ N/m carries a mass of $1$ kg. Its period of oscillation is:A simple pendulum's length is increased four times. Its period changes by a factor of:A child's swing is pushed gently at its natural frequency and the amplitude grows large. This phenomenon is caMotion in which an object moves to and fro about a mean position is called:The smallest interval of time after which the motion repeats is called its:The number of repetitions per unit time is given by the reciprocal of the:The unit of frequency is named after which discoverer of radio waves?Which is described as the simplest form of oscillatory motion?In simple harmonic motion, the force is always directed towards the:The force that always points back towards the mean position is called the:Which statement about oscillatory and periodic motion is correct?Simple harmonic motion is shown to be the projection on a diameter of which motion?In simple harmonic motion, which quantity does the symbol A stand for?In the standard symbols for simple harmonic motion, phi stands for the phase:Both kinetic and potential energy of a particle in simple harmonic motion vary between zero and their:Describing periodic motion needs period, frequency, amplitude, phase and:The total mechanical energy of a harmonic oscillator is independent of:Why is the total mechanical energy of a harmonic oscillator constant?Oscillations kept going by an external periodic agency are described as:One hertz is defined as how many oscillations per second?Is the frequency of an oscillation necessarily a whole number?