A string between x = 0 and x = ℓ vibrates in its fundamental mode. Given amplitude A, tension T and linear mass density μ, find the total energy stored in the string. Choose the option containing the correct final result.

Question

G1 Physics · Accepted Answer

Step 1: For a stretched string, v = √(T/μ) and fₙ = nv/(2L) for fixed ends. Step 2: Use the stated node/antinode or harmonic condition; for composite wires the same frequency must hold on both parts. Step 3: Solve with the given lengths, densities and tension. Final: B: E = A²π²T/(4ℓ).