An organ pipe filled with a gas at 2 7 ∘ C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 9 0 ∘ C , the resonance frequency at the same mode will be:NEET 2022 (Phase

Question

An organ pipe filled with a gas at 2 7 ∘ C resonates at 400 Hz in its fundamental mode. If it is filled with the same gas at 9 0 ∘ C , the resonance frequency at the same mode will be:NEET 2022 (Phase 2)

TestHub · Accepted Answer

As per question, we have; frequency, f = 4 l v ​ Hence, ⇒ f 2 ​ 4 l ​ = v 2 ​ v 1 ​ ​ ⇒ f 2 ​ 400 ​ = T 2 ​ T 1 ​ ​ ​ ⇒ f 2 ​ 400 ​ = 363 300 ​ ​ ⇒ [ ∵ V ∝ T ​ ] ⇒ f 2 ​ = 300 363 ​ ​ × 400 ⇒ f 2 ​ = 440 Hz ​

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