6. f = 128.62 [tex]s^{-1}[/tex] , T= 0.0077775 s
7. f = 2.2 * [tex]10^{4}[/tex] [tex]s^{-1}[/tex], T = 4.545 * [tex]10^{-5}[/tex] s
8. 32.64 [tex]s^{-1}[/tex]
9. 3.29 * [tex]10^{14}[/tex] [tex]s^{-1}[/tex]
Explanation:
Step 1:
6.
For light and sound v = fλ
where v represents the velocity
f represents the frequency
λ represents the wavelength
λ = 2.69 m
v = 346 m/s
f = v/λ = 346/2.69 = 128.62 [tex]s^{-1}[/tex]
Time period is the reciprocal of frequency
T = 1/128.62 = 0.0077775 s
Step 2:
7.
λ = 110 cm = 1.1 m
v = 2.42*[tex]10^{4}[/tex] m/s
f = 2.42*[tex]10^{4}[/tex]/1.1 = 2.2 * [tex]10^{4}[/tex] [tex]s^{-1}[/tex]
T = 1/(2.2*[tex]10^{4}[/tex]) = 4.545 * [tex]10^{-5}[/tex] s
Step 3:
8.
λ = 10.6 m
v = 346 m/s
f = v/λ = 346/10.6 = 32.64 [tex]s^{-1}[/tex]
Step 4:
9.
λ = 5.89 * [tex]10^{-7}[/tex] m
v = 1.94 * [tex]10^{8}[/tex] m/s
f = v/λ = 3.29 * [tex]10^{14}[/tex] [tex]s^{-1}[/tex]
