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. `18gtx`
B. `xgt54`
C. `54gtxgt36`
D. `36gtxgt18`

Answer

d

Explanation

Here, `l_(1)= 18` cm
`f=v_(1)/(4l_(1))=(3v_(2))/(4l_(2)), ` where `l_(2)=x` according to given situation and
also `v_(1)ltv_(2)` as during summer temperature would be higher.
`(3v_(2))/(4l_(2))=v_(1)/(4l_(1))rArr l_(2) = 3l_(1) xxv_(2)/v_(1)`
`rArr x=54 xx` (A quantity greater than 1)
So, `xgt 54`