8. II FIGURE P16.8 shows a stand- Hi ing wave that is oscllating at frequency o a. How many antinodes will FIGURE P16.8 there be if the frequency is doubled to 2 Explain, b. I the tensnnhe string is increased by a factor of four, for what frequency. in terms of f will the string continue to oscillate as a standing wave with three aninodes?
Solution
(a) Doubling the frequency will cut the wavelength to half. So, Number of anti nodes will be doubled. Therefore, number of anti nodes will be 6.
(b) We know that v = sqrt (T/u) where T is tension, u is linear mass density
if T is increase by factor of 4, velocity will double.
so, fixed number of antinotes means fixed wavelength
Therefore, new frequency will be f new = 2f o
.
8- II FIGURE P16-8 shows a stand- Hi ing wave that is oscllating at fr.docx
1. 8. II FIGURE P16.8 shows a stand- Hi ing wave that is oscllating at frequency o a. How many
antinodes will FIGURE P16.8 there be if the frequency is doubled to 2 Explain, b. I the tensnnhe
string is increased by a factor of four, for what frequency. in terms of f will the string continue to
oscillate as a standing wave with three aninodes?
Solution
(a) Doubling the frequency will cut the wavelength to half. So, Number of anti nodes will be
doubled. Therefore, number of anti nodes will be 6.
(b) We know that v = sqrt (T/u) where T is tension, u is linear mass density
if T is increase by factor of 4, velocity will double.
so, fixed number of antinotes means fixed wavelength
Therefore, new frequency will be f new = 2f o
