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PhysicsPractical physicsMiscellaneousEasy2 minQB
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If a tuning fork of frequency (f0) 340 Hz and tolerance ±1% is used in the resonance column method for determining the speed of sound. If the first and the second resonance are measured at l⁡ 1 = 2 4.0 cm and l⁡ 2 = 74.70 cm, then the permissible error in speed of sound is

Options:

Answer:
A
Solution:

V = 2 f 0 l 2 - l 1

let l 2 - l 1 = x

l 1 = 24.0 + ¯ 0.1 cm

l 2 = 74.70 + ¯ 0.01 cm

l 2 - l 1 = 50.70 + ¯ 0.11 cm

Δ x x = 0.11 50.70

Δ x % = 0.11 50.70 × 100

= 0.22%

Δ V % = Δ f 0 % + Δ x %

= 1.22 %

= 1.2 %

Stream:JEESubject:PhysicsTopic:Practical physicsSubtopic:Miscellaneous
⏱ 2mℹ️ Source: QB

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