This physics problem tests your understanding of fundamental physical laws and their applications. The step-by-step solution below breaks down the problem using relevant equations and physical reasoning.
ScanSolve AI Answer
Welcome back — missed you this week. Here are the solutions to the problems: Problem 1: Sixty complete waves pass a particular point in 4s. If the distance between three successive troughs of the waves is 15cm, calculate the speed of the waves. Step 1: Calculate the frequency (f). Frequency is the number of waves per unit time. f = Number of wavesTime f = 60 waves4 s f = 15 Hz Step 2: Calculate the wavelength (). The distance between three successive troughs corresponds to two complete wavelengths. 2 = 15 cm = 15 cm2 = 7.5 cm Convert wavelength to meters: = 7.5 × 10^-2 m Step 3: Calculate the speed of the waves (v). The speed of a wave is given by the product of its frequency and wavelength. v = f v = (15 Hz) × (7.5 × 10^-2 m) v = 1.125 m/s The speed of the waves is 1.125 m/s. Problem 2: The period of a wave is 0.02 seconds. Calculate its wavelength if its speed is 330m/s. Step 1: Use the wave speed formula relating speed, wavelength, and period. The speed of a wave (v) is its wavelength () divided by its period (T). v = ()/(T) Rearrange to solve for wavelength: = v T Substitute the given values: = (330 m/s) × (0.02 s) = 6.6 m The wavelength is 6.6 m. Problem 3: A stationary wave in a spring is fixed at both ends. If the frequency of the wave is 256Hz and the distance N1N2 equals to 1.5m, calculate the speed of the wave. Step 1: Determine the wavelength (). In a stationary wave, the distance between two successive nodes (N1N2) is half a wavelength (()/(2)). ()/(2) = 1.5 m = 2 × 1.5 m = 3.0 m Step 2: Calculate the speed of the wave (v). The speed of a wave is the product of its frequency and wavelength. v = f v = (256 Hz) × (3.0 m) v = 768 m/s The speed of the wave is 768 m/s. Send me the next one 📸