Two wires W₁ and W₂ have equal radius and densities ρ₁ and ρ₂ with ρ₂ = 4ρ₁. They are joined at midpoint O and kept under the same tension T. When a stationary wave is formed with O as a node, find the ratio of antinodes in W₁ to W₂.

Question

G1 Physics · Accepted Answer

Step 1: Local transverse-wave speed is v = √(T/μ). Step 2: If T varies with position, use dt = dx/v and integrate; otherwise use time = length/speed. Step 3: Use force balance to obtain the required tension where needed. Final: D: 1: 2.