The energy of a wave is proportional to the square of its amplitude. Therefore, if the amplitude increases, the energy increases.

The distance between two consecutive crests in a wave is called the wavelength.

Increasing the amplitude of the driving force generally increases the amplitude of the forced oscillation.

At resonance, the phase difference between the driving force and the displacement is 0 degrees, meaning they are in phase.

In SHM, acceleration is maximum at maximum displacement (A).

In SHM, acceleration is maximum at the amplitude (maximum displacement).

The maximum displacement from the mean position in simple harmonic motion is called amplitude.

The maximum speed in SHM occurs at the mean position where the displacement is zero.

The restoring force is directly proportional to the displacement from the mean position.

In SHM, the total mechanical energy is the sum of kinetic and potential energy, which remains constant.

In simple harmonic motion, the velocity is maximum at the mean position where the displacement is zero.

Sound travels fastest in solids like steel due to closely packed molecules.

The maximum displacement in SHM is equal to the amplitude A.

The total energy of a simple harmonic oscillator is proportional to the square of the amplitude.

In the equation of motion for simple harmonic motion, φ is the phase constant, which determines the initial position of the oscillator.

A represents the amplitude of the oscillation, which is the maximum displacement from the mean position.

Restoring force F = -kx, where k is the spring constant and x is the displacement.

If the mass is doubled, the new time period T' = 2π√(2m/k) = √2 * (2π√(m/k)) = √2 * T. Thus, the time period increases.

Total energy E = 1/2 kA^2, where A is the amplitude.

Total mechanical energy in SHM is E = 1/2 kA^2, where A is the amplitude.

Constructive interference occurs when the phase difference between the two waves is 0 or an integer multiple of 2π.

As damping increases, the frequency of the damped oscillator decreases.

The frequency of oscillation in a damped system is lower than that of an undamped system due to energy loss.

As the frequency of a sound increases, its pitch also increases.

An increase in intensity by a factor of 10 results in an increase of 10 dB, but the sound level increases by 20 dB.

A system is critically damped when the damping coefficient equals the square root of the product of mass and spring constant.

Critical damping occurs when the damping coefficient equals twice the mass times the natural frequency of the system.

Critical damping occurs when the damping coefficient equals the mass times the natural frequency.

A critically damped system has a damping ratio equal to 1, which allows it to return to equilibrium without oscillating.

Every increase of 10 dB represents a tenfold increase in intensity, so 10 times more intense is 20 dB.