Using the Doppler effect formula, f' = f(v + vo) / (v - vs), where v = 340 m/s, vo = 0, vs = 30 m/s, f' = 500(340)/(340 - 30) = 500(340/310) ≈ 548 Hz.

As the source moves away, the frequency decreases, so the observer hears a frequency less than 400 Hz.

The observed frequency decreases as the source moves away, due to the Doppler effect.

The speed of sound increases when it travels from air (approximately 343 m/s) into water (approximately 1482 m/s).

According to the Doppler effect, if the source is moving towards the observer, the frequency increases.

The speed of light decreases when it enters a medium with a higher refractive index.

When unpolarized light passes through a polarizer, it becomes polarized, with the electric field oscillating in a specific direction.

The period (T) is the reciprocal of frequency (f), given by T = 1/f.

In simple harmonic motion, the restoring force is directly proportional to the displacement and acts in the opposite direction.

As the source moves towards the observer, the waves are compressed, leading to an increase in frequency.

Total internal reflection occurs when light travels from a denser medium to a less dense medium at an angle greater than the critical angle.

Total internal reflection occurs when light travels from a denser medium to a rarer medium at an angle greater than the critical angle.

The interference pattern is formed due to the superposition of waves from the two slits.

The condition for constructive interference in Young's double-slit experiment is d sin(θ) = mλ, where m is an integer.

The speed of sound in air increases with an increase in temperature.

The frequency of light remains constant when it passes from one medium to another; only the speed and wavelength change.

If the speed of sound is constant, an increase in frequency results in a decrease in wavelength.

The wavelength decreases as light enters a medium with a higher refractive index.

Constructive interference occurs when the path difference between two coherent waves is an integer multiple of the wavelength, nλ.

Constructive interference occurs when the path difference between two waves is an even multiple of the wavelength.

The critical angle can be calculated using sin(θc) = n2/n1, which gives θc = sin^(-1)(1/1.5) = 41.8 degrees.

A prism disperses white light into its constituent colors due to refraction.

Increasing the wavelength generally increases the angle of refraction due to the change in refractive index.

Using the lens formula (1/f = 1/v - 1/u), we find f = 1/(1/30 - 1/60) = 20 cm.

Using the lens formula 1/f = 1/v - 1/u, we find f = 1/(1/30 - 1/15) = 20 cm.

The formula for the diffraction angle in a single-slit diffraction pattern is a sin(θ) = nλ.

The formula for the observed frequency when the source is moving towards the observer is f' = f (v / (v - vs)).

Frequency (f) = Speed (v) / Wavelength (λ) = 340 m/s / 2 m = 170 Hz.

Snell's Law states that n1 * sin(θ1) = n2 * sin(θ2), where n is the refractive index and θ is the angle.

A convex lens converges light rays that are incident on it, focusing them to a point.