While measuring the speed of sound by performing a resonance column experiment, a student gets the first resonance condition at a column length of `18 cm` during winter. Repeating the same experiment during summer, she measures the column length to be `x cm` for the second resonance. Then

Options

A. `18 gt x`
B. `x gt 54`
C. `54 gt x gt 36`
D. `36 gt x gt 18`

Answer

B

Explanation

`f=(V_(1))/(4l_(1))` for `1st` resonance
`f=(V_(2))/(4l_(2))` for `2nd` resonace
`(V_(1))/(4l_(1))=(V_(2))/(4l_(2))impliesl_(2)=3l_(1)X(V_(2))/(V_(1))impliesx gt 54`