Oscillations an...

The first overtone of a stretched wire of given length is 320 Hz. The first harmonic is

Period of a periodic motion is the ________ interval of time after which the motion is __________.

A ball of mass 2 kg is moving with a velocity of 3 m/s. It collides with a spring of natural length 2 m and force constant 72 N/m. What will be the length of the compressed spring?

Oscillatory motion is best described by 

A uniform wire of linear density 0.004 kg-m^-1 when stretched between two rigid supports, with a tension 3.6 x 10² N, resonates with a frequency of 420 Hz. The next harmonic frequency with which the wire resonates is 490 Hz. The length of the wire in metres is

The pendulum of a wall clock executes

The angular amplitude of a simple pendulum is θ₀. What will be the maximum tension in its string?

A source and an observer are approaching each other with 50 ms^-1 velocity. What will be its original frequency if the observer receives 400 cycles/s? Take speed of sound = 340 m/s

A point mass m is suspended at the end of a massless wire of length L and cross section A. If Y is Young's modulus for the wire, what will be the frequency of oscillation for the SHM along the vertical line?

A simple pendulum is released from A, as shown in the figure. If m and l represent the mass of the bob and the length of the pendulum, respectively, then the gain in kinetic energy at B is

What is the beat frequency produced when the following two waves are sounded together?

x₁ = 10 sin (404πt - 5πx), x₂ = 10 sin (400πt - 5πx)

A particle executes linear simple harmonic motion with amplitude of 2 cm. When the particle is at 1 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Its time period (in seconds) is

A particle in SHM is described by the displacement equation x(t) = A cos (ωt + θ). If the initial (t = 0) position of the particle is 1 cm and its initial velocity is π cm/s, then what is its amplitude? (The angular frequency of the particle is πs^-1.)

A simple pendulum with a bob of mass m and a conducting wire of length L swings under gravity through an angle 2θ. The earth's magnetic field component in the direction perpendicular to the swing is B. The maximum potential difference induced across the pendulum is

Two identical springs are connected in series and parallel as shown in the figure. If f_s and f_p are frequencies of series and parallel arrangements, respectively, then what is ?

 

The equation of a simple harmonic wave is given by y = 5 sin  (100t - x), where x and y are in metres and t is in seconds. The period of the wave will be

The frequency of a tuning fork is 256 Hz. The velocity of sound in air is 344 ms^-1. The distance travelled (in metres) by the sound during the time in which the tuning fork completes 32 vibrations is

When both the listener and the source are moving towards each other, then which of the following is true regarding the frequency and wavelength of the wave observed by the observer?

How can you describe a periodic motion 

The time period of a particle in simple harmonic motion is 8 seconds. At t = 0, it is at the mean position. The ratio of the distances travelled by it in the 1^st second and the 2^nd second is

Frequency of the periodic motion is

A particle starts SHM from a mean position. Its amplitude is 'a' and total energy is E. At one instant, its kinetic energy is 3E/4. Its displacement at that instant is

The time period of a simple pendulum of length l is T₁, and the time period of a uniform rod of the same length l pivoted at one end and oscillating in a vertical plane is T₂. The amplitude of oscillations in both the cases is small. Then, T₁/T₂ is 

A particle is executing two different simple harmonic motions mutually perpendicular to different amplitudes and having a phase difference of π/2. The path of the particle will be

The factor determining the pitch of a tuning fork is