Period (T) = 1 / frequency (f) = 1 / 1 Hz = 1 s.

Period (T) = 1 / Frequency (f) = 1 / 2 Hz = 0.5 s.

The period T is the reciprocal of frequency f. Thus, T = 1/f = 1/2 = 0.5 s.

Frequency f = 1/T = 1/2 s = 0.5 Hz.

The frequency f of a mass-spring system is given by f = (1/2π)√(k/m). Here, f = (1/2π)√(200/0.5) ≈ 2 Hz.

Angular frequency ω is related to frequency f by ω = 2πf. Therefore, for f = 1 Hz, ω = 2π(1) = 2π rad/s.

Angular frequency ω = 2πf = 2π × 5 Hz = 10π rad/s.

The maximum speed v_max is given by v_max = Aω, where A is the amplitude and ω is the angular frequency. Thus, v_max = 0.1 * 20 = 2 m/s.

Frequency f = number of oscillations / time = 20 / 40 s = 0.5 Hz.

Time period (T) = 2π√(L/g) ≈ 2π√(1/9.8) ≈ 2 s.

Frequency (f) = 1 / (2π√(L/g)) = 1 / (2π√(1/9.8)) ≈ 1 Hz.

For small angles, T ≈ 2π√(L/g). Assuming L = 1 m, T ≈ 2π√(1/9.8) ≈ 2.0 s.

Time period (T) = Total time / Number of oscillations = 40 s / 20 = 2 s.

The time period T of a simple pendulum is given by T = 2π√(L/g). For L = 1 m and g = 9.8 m/s², T = 2π√(1/9.8) ≈ 2.0 s.

The period T of a simple pendulum is given by T = 2π√(L/g). Rearranging gives L = (T^2 * g) / (4π^2). Using g = 9.8 m/s² and T = 2 s, we find L = (2^2 * 9.8) / (4π^2) ≈ 1 m.

Wavelength (λ) = Speed (v) / Frequency (f) = 340 m/s / 1700 Hz = 0.2 m.

Wavelength λ = v/f = 343 m/s / 686 Hz = 0.5 m.

Wavelength (λ) = speed (v) / frequency (f) = 340 m/s / 1700 Hz = 0.2 m.

The wavelength λ is given by λ = v/f. Thus, λ = 340/170 = 2 m.

Frequency (f) = speed (v) / wavelength (λ) = 340 m/s / 0.85 m ≈ 400 Hz.

The frequency f can be calculated using the formula v = fλ. Rearranging gives f = v/λ = 340 m/s / 0.85 m ≈ 400 Hz.

Using the wave speed formula v = f * λ, we can rearrange to find λ = v/f. Thus, λ = 343 m/s / 686 Hz = 0.5 m.

Period T = 1/f = 1/440 Hz ≈ 0.00227 s.

The time period T is the reciprocal of frequency f. Thus, T = 1/f = 1/440 ≈ 0.00227 s.

Time period (T) = 1/f = 1/440 Hz ≈ 0.00227 s.

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 440 Hz ≈ 0.77 m.

Time period T = 1/f = 1/440 Hz ≈ 0.00227 s.

The speed v of a wave is given by v = fλ. Therefore, v = 10 Hz * 2 m = 20 m/s.

Speed (v) = frequency (f) × wavelength (λ) = 10 Hz × 5 m = 50 m/s.

Wavelength λ is given by λ = v/f. Thus, λ = 340 m/s / 50 Hz = 6.8 m.