Answer:
To determine the ratio of the frequency of G to C, we divide the frequency of G by the frequency of C:
G/C = 392/262
Simplifying the ratio by dividing both numbers by 2, we get:
G/C = 196/131
This is an approximate ratio, since we rounded the frequencies to the nearest whole number.
To find out how many G waves will fit in the length of four C waves, we need to compare the wavelengths of the two notes. The wavelength is the distance between two corresponding points on a wave, such as the distance between two peaks or two troughs.
The wavelength is inversely proportional to the frequency, so we can use the ratio of frequencies we found above to determine the ratio of wavelengths:
λ(G)/λ(C) = f(C)/f(G) = 262/392 = 0.668
This means that the wavelength of G is about 0.668 times the wavelength of C. Since the frequency of G is higher than the frequency of C, we can also say that G has more waves per second than C.
To find out how many G waves fit in the length of four C waves, we need to multiply the wavelength of G by the number of waves in four C wavelengths:
4λ(C)/λ(G) = 4/(λ(G)/λ(C)) = 4/0.668 ≈ 5.988
So, approximately 6 G waves fit in the length of four C waves.
Therefore, the answer is (A) 6