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AP Physics 2
14.6 Wave Interference and Standing Waves
14.2 Periodic Waves
IntermediateMCQConceptual13.6k
A horizontal thin metallic rod of total length L is supported at its midpoint by a small clamp labeled Clamp at L/2. The left end of the rod is at x = 0 and the right end is at x = L. Small arrows labeled longitudinal vibration point left and right at both ends. A light dashed curve above the rod depicts a fundamental standing wave envelope with a displacement node at x = L/2 and antinodes at x = 0 and x = L. No other labels, lines, text, or axes appear.
An aluminum rod of length L clamped at its center.
An aluminum rod of length \(L\) is clamped at its geometric center. When struck lightly at one end along its length, a longitudinal standing wave in its fundamental mode is established in the rod. The vibrating rod emits sound waves into the surrounding air. The speed of sound in aluminum is greater than the speed of sound in air (\(v_{\text{aluminum}} > v_{\text{air}}\)). Which of the following correctly identifies the fundamental wavelength of the standing wave in the rod, \(\lambda_{\text{rod}}\), and correctly compares it to the wavelength of the emitted sound wave in air, \(\lambda_{\text{air}}\)?

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