A pipe of length 1.5 m closed at one end is filled with a gas and it resonates at `30^(@)C` in its fundamental with a tuning fork. Another pipe of the same length but open at both ends and filled with air and it resonates in its fundamental with the same tuning fork. Calculate the velocity of sound at `0^(@)C` in the gas, given that the velocity of sound in air is `360 m s^(-1)` at `30^(@)`.

Options

A. `580 m//s`
B. `683 m//s`
C. `880 m//s`
D. `743 m//s`

Answer

B