JEE Main Physics: Oscillations & Waves Practice Questions

25 questions with answers and step-by-step solutions. Tap any question to see the full worked solution.

Q1.
$A particle executes simple harmonic motion with an amplitude of 5 cm and a time period of 2 seconds. What is the maximum velocity of the particle in cm per seco$
Easy
Q2.
$A simple pendulum has a length of 1 meter. What is its approximate time period of oscillation on Earth where g is 9.8 meters per second squared?$
Easy
Q3.
$A wave is represented by the equation y = 0.5 sin(10t - 2x). What is the angular frequency of the wave?$
Easy
Q4.
$In a spring-mass system, if the mass is doubled while the spring constant remains the same, how does the time period change?$
Easy
Q5.
$Which of the following quantities remains constant for a particle executing simple harmonic motion?$
Easy
Q6.
$A particle executes simple harmonic motion with an amplitude of 4 cm. At what displacement from the mean position is its kinetic energy equal to its potential e$
Medium
Q7.
$A simple pendulum has a time period of 4 seconds on Earth. If it is taken to a planet where the acceleration due to gravity is one-fourth of that on Earth, what$
Medium
Q8.
$A transverse wave is described by the equation y equals 0.05 sin(2x minus 4t). What is the wave speed?$
Medium
Q9.
$Two springs of force constants k1 and k2 are connected in series. What is the effective force constant of the combination?$
Medium
Q10.
$A particle is performing simple harmonic motion with frequency f. What is the frequency of its kinetic energy oscillation?$
Medium
Q11.
$A particle of mass m is attached to a spring of force constant k and performs simple harmonic motion. If the particle is subjected to a damping force proportion$
Hard
Q12.
$A uniform rod of length Land mass M is pivoted at one end and oscillates as a physical pendulum. A small bead of mass m is attached to the rod at a distance x f$
Hard
Q13.
$A transverse wave is described by y = A sin(kx - omega t + phi). If the wave travels through a medium where the density varies as rho(x) = rho0(1 + alpha x), wh$
Hard
Q14.
$Two identical strings of length Land linear mass density mu are under tension T. One string is plucked at L/4 and the other at L/2. What is the ratio of the ene$
Hard
Q15.
$A p a r t i c l e m o v es ina p o t e n t ia l V (x) = k x^{4} . F or s ma l l osc i l l a t i o n s ab o u tt h ee q u i l ib r i u m p os i t i o n, w ha t i s t h er e l a t i o n s hi p b e tw ee n t h e p er i o d o f osc i l l a t i o n T$
Hard
Q16.
$Two identical springs of spring constant k are connected in series. What is the effective spring constant of the combination?$
Medium
Q17.
$A transverse wave is described by the equation y = 0.05 sin(2x - 4t) where x and y are in meters and t is in seconds. What is the wave velocity?$
Medium
Q18.
$A particle is performing simple harmonic motion with a frequency of 5 Hz. What is the time period of the oscillation?$
Medium
Q19.
$A particle undergoes simple harmonic motion with amplitude A. At what displacement from the equilibrium position is the kinetic energy equal to the potential en$
Hard
Q20.
$A transverse wave is described by y = A sin(kx - omega t). If the wave travels from a medium with linear mass density mu1 to a medium with linear mass density m$
Hard
Q21.
$Two identical sound sources emit waves of frequency f. An observer moves along the line joining them with a constant velocity v. What is the beat frequency hear$
Hard
Q22.
$The displacement of a particle in simple harmonic motion is given by x = 10 sin(2t). What is the angular frequency of the motion?$
Easy
Q23.
$A simple pendulum of length 1 meter has a time period of approximately how many seconds?$
Easy
Q24.
$Which of the following quantities remains constant during the simple harmonic motion of a particle?$
Easy
Q25.
$A wave has a frequency of 50 Hz and a wavelength of 2 meters. What is the speed of the wave?$
Easy

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