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When a string is divided into three segments of length l₁, l₂ and l₃ the fundamental frequencies of these three segments are v₁, v₂ and v₃ respectively. The original fundamental frequency (v) of the string is
Options
(a) √v = √v₁ + √v₂ + √v₃
(b) v = v₁ + v₂ + v₃
(c) 1/v = 1/v₁ + 1/v₂ + 1/v₃
(d) 1/ √v = 1/ √v₁ + 1/ √v₂ + 1/ √v₃
Correct Answer:
1/v = 1/v₁ + 1/v₂ + 1/v₃
Explanation:
Fundamental frequency is given by v = 1/ 2l √(T / µ)
⇒ v ∞ 1/ l ⇒ P ∞ 1 / v Since, P divided into l₁, l₂ and l₃ segments.
Here, l = l₁ + l₂ + l₃
So, 1/v = 1/v₁ + 1/v₂ + 1/v₃
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Topics: Waves
(80)
Subject: Physics
(2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
- Dependence of intensity of gravitational field (E) of earth with distance(r)
- A thin prism of angle 15⁰ made of glass of refractive index µ₁ = 1.5 is combined
- An automobile engine develops 100 kW when rotating at a speed of 1800 rev/min
- A wave travelling in the +ve x-direction having displacement along y-direction as 1m
- A proton and an alpha particle both enter a region of uniform magnetic field B,
Topics: Waves (80)
Subject: Physics (2479)
Important MCQs Based on Medical Entrance Examinations To Improve Your NEET Score
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