1) Suppose you are standing on a boat in the ocean looking out at a person swimm

Question

1) Suppose you are standing on a boat in the ocean looking out at a person swimming in the water. The waves swell under your boat at a frequency of 0.80 Hz, while traveling with a wave speed of 1.0 meters per second. At any given moment, you count that there are exactly 6 complete waves between you and the swimmer. How far away is the swimmer? (Answer in meters)

2)An important wavelength of radiation used in radio astronomy is 21.1 cm. (This wavelength of radiation is emitted by excited neutral hydrogen atoms.) This radiation travels at the speed of light, 3.00×108 m/s. Compute the frequency of this radio wave. (Answer in Hz)

Explanation / Answer

here
wave speed, v = 1 m/s
Frequency, f = 0.80 Hz

as wavelength = frequency * wave speed ------------------(1)

lamda = 0.80 * 1
lamda = 0.80 m

Distance = 0.80 * 6
Disatane = 0.48 m

PART 2 :
wavelength, lamda = 21.1 cm = 0.211 m
speed, v = 3 * 10^8 m/s

using eqn 1, and solving for frequency
freqency(f) = lamda / wave speed
f = 0.211 / (3*10^8)
f = 7.033 * 10^-10 Hz

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