Which equation is correct for wave speed? v=fλ V. = 지 both of these neither of these

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question:**
Which equation is correct for wave speed?

**Options:**
1. \( v = f \lambda \)
2. \( v = \frac{1}{T} \lambda \)
3. Both of these
4. Neither of these

It's important to understand the formulas given:

1. \( v = f \lambda \):
   - Here, \( v \) represents the wave speed.
   - \( f \) stands for the frequency of the wave.
   - \( \lambda \) (lambda) is the wavelength.
   - This formula correctly represents the relationship between wave speed, frequency, and wavelength for a wave.

2. \( v = \frac{1}{T} \lambda \):
   - In this equation, \( v \) also represents the wave speed.
   - \( T \) stands for the period of the wave, which is the reciprocal of frequency (\( T = \frac{1}{f} \)).
   - \( \lambda \) is the wavelength.
   - This formula is another correct way of expressing wave speed, as the relationship holds true because \( \frac{1}{T} \) is indeed the frequency \( f \). Thus, \( \frac{1}{T} \lambda = f \lambda \).

Given this understanding, the correct answer to the question is:
3. **Both of these**
Transcribed Image Text:**Question:** Which equation is correct for wave speed? **Options:** 1. \( v = f \lambda \) 2. \( v = \frac{1}{T} \lambda \) 3. Both of these 4. Neither of these It's important to understand the formulas given: 1. \( v = f \lambda \): - Here, \( v \) represents the wave speed. - \( f \) stands for the frequency of the wave. - \( \lambda \) (lambda) is the wavelength. - This formula correctly represents the relationship between wave speed, frequency, and wavelength for a wave. 2. \( v = \frac{1}{T} \lambda \): - In this equation, \( v \) also represents the wave speed. - \( T \) stands for the period of the wave, which is the reciprocal of frequency (\( T = \frac{1}{f} \)). - \( \lambda \) is the wavelength. - This formula is another correct way of expressing wave speed, as the relationship holds true because \( \frac{1}{T} \) is indeed the frequency \( f \). Thus, \( \frac{1}{T} \lambda = f \lambda \). Given this understanding, the correct answer to the question is: 3. **Both of these**
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