While performing a resonance column experiment to measure the speed of sound, 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

Question

While performing a resonance column experiment to measure the speed of sound, 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, x 18, x > 54, 18 x 36, 18 x 54

MARKS App · Accepted Answer

l 1 = 18 cm · f = v 1 4 l 1 (for first resonance ) and f = 3 v 2 4 l 2 (for second resonance ) where, l 2 = x according to given situation and ⇒ 3 v 2 4 l 2 = v 1 4 l 1 ( or ) l 2 = 3 l 1 × v 2 v 1 ; v = γ R T M ⇒ x = 54 × ( A quantity greater than 1 ) also v 1 v 2 as during summer temperature would be higher. So X > 54

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