Concept explainers
a.
Interpretation:
The longest wave from the given options needs to be identified.
Concept introduction:
Wavelength of a wave is basically the distance between two consecutive crest and troughs. If the distance between crests and troughs is less, the wave will have a short wavelength.
a.
Answer to Problem 96A
Explanation of Solution
The wave number 4 represents the longest wave because the distance between two crests and two troughs is maximum on
b.
Interpretation:
The wave with greatest frequency needs to be determined.
Concept introduction:
Frequency is defined as number of times a wave passes through a point in 1 sec.
b.
Answer to Problem 96A
Explanation of Solution
The greatest frequency wave is represented by option 3. It has more number of cycles in 1 sec that is more number of crests and troughs. Also, the wavelength for wave in option 3 is minimum and frequency is inversely proportional to wavelength thus, it has the greatest frequency.
c.
Interpretation:
The waves corresponding to largest amplitude needs to be determined.
Concept introduction:
Amplitude is represented by height of the crest and troughs in a wave.
c.
Answer to Problem 96A
1: Largest amplitude
Explanation of Solution
On comparing all the given waves, wave 1 has the largest amplitude. It is defined as the height of the wave measured from the highest point to the lowest point on the wave.
d.
Interpretation:
The wave with the shortest wavelength needs to be determined.
Concept introduction:
Wavelength of a wave is basically the distance between two consecutive crest and troughs.
d.
Answer to Problem 96A
Explanation of Solution
If the distance between crests and troughs is less, the wave will have a short wavelength.
The wave number 3 has a minimum distance between two crests and troughs thus, it has a minimum wavelength.
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