GATE ECE 2025 | GA | Question: 3

Question

The $12$ musical notes are given as $C, C^{\#}, D, D^{\#}, E, F, F^{\#}, G, G^{\#}, A, A^{\#}$, and $B$. Frequency of each note is $\sqrt[12]{2}$ times the frequency of the previous note. If the frequency of the note $C$ is $130.8  \: \mathrm{Hz}$, then the ratio of frequencies of notes $F^{\#}$ and $C$ is:

• A. $\sqrt[6]{2}$
• B. $\sqrt{2}$
• C. $\sqrt[4]{2}$
• D. $2$

Answer 1

b

Answer 2

Ans :- B

Frequency of F^# = 2^(7/12)

and Frequency of C = 2^(1/12)

so, ratio = 2^(1/2)