A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if…

Question

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7×10^3 kg m^(-3) and 2.2×10^11 N m^(-2) respectively?

MARKS Content Team · Accepted Answer

Correct answer: (D) 178.2 Hz. f = V/(2 ℓ) = 1/(2 ℓ) √(T μ) = 1/(2 ℓ) √(T Ad) Also, Y = (T ℓ)/(A Δ ℓ) ⇒ T/A = (Y Δ ℓ)/(ℓ) ⇒ f = 1/(2 ℓ) √(Y Δ ℓ ℓ d) ℓ = 1.5 m, (Δ ℓ)/(ℓ) = 0.01, d = 7.7 × 1 0^(3 kg / m 3) Y = 2.2 × 1 0^(1 1 ) N / m^2 After solving f = √(2 7) × (1 0^3)/3 Hz f ≈ 178.2 Hz

A sonometer wire of length $1 .5 m$ is made of steel. The tension in it produces an elastic strain of $1%$ . What is the fundamental frequency of steel if density and elasticity of steel are $7 .7 \times 10^{3} kg m^{- 3}$ and $2 .2 \times 10^{11} N m^{- 2}$ respectively?

Solution

Relevant Questions

A sonometer wire of length 1.5m is made of steel. The tension in it produces an elastic strain of 1% . What is the fundamental frequency of steel if density and elasticity of steel are 7.7×103 kg m-3 and 2.2×1011 N m-2 respectively?

Solution

Relevant Questions

A sonometer wire of length $1 .5 m$ is made of steel. The tension in it produces an elastic strain of $1%$ . What is the fundamental frequency of steel if density and elasticity of steel are $7 .7 \times 10^{3} kg m^{- 3}$ and $2 .2 \times 10^{11} N m^{- 2}$ respectively?