KVPY SB SX Exam 2011 Question Paper

Question : 30 of 120

Marks: +1, -0

At 23° C, a pipe open at both ends resonates at a frequency of 450 hertz. At what frequency does the same pipe resonate on a hot day when the speed of sound is 4 percent higher than it would be at 23° C?

446 Hz
454 Hz
468 Hz
459 Hz

Validate

Solution:

fλ = v

f ∝ v

f_1/f_2=v_1/v_2

450/f_2=v_1/{1.04v_1}

f_2=1.04×450=468\Hz

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