Question Detail

PHY 104 PHY 104 Past Questions Objective Question
Take CBT

Question

A plane-progressive wave is represented by the equation y = 0.1 sin (200πt - 20π/17 x), where y is the displacement in millimeters (mm), t is in seconds (s) and x is the distance from a fixed origin O in meters (m). What are the wavelength and speed of the wave?
Options
A 17 m & 100 m/s
B 1.7 m & 170 m/s
C 17 m & 170 m/s
Correct Answer
D 1.7 m & 100 m/s
Correct Answer

Option C is the correct answer.

Detailed Explanation

The general equation is y = A sin(ωt - kx). Here ω = 200π, k = 20π/17. Wavelength λ = 2π/k = 2π / (20π/17) = 17/10 = 1.7 m. Velocity v = ω/k = (200π) / (20π/17) = 200 * 17/20 = 170 m/s.

Hint

The wave number k is 2π/λ, and the angular frequency ω = 2πf. The speed is v = ω/k.

Question Info

Course: PHY 104
Topic: PHY 104 Past Questions
Type: Objective
Difficulty: Not specified
Question 753 of 947
Previous Course Details Next