Verified Solution • 2025–26 Session moderate

Q14.16: NCERT Physics - Part 2 WAVES 14.16 Solution: A steel rod 100 cm long is clamped at its middle. The…

A steel rod 100 cm long is clamped at its middle. The fundamental frequency of longitudinal vibrations of the rod are given to be 2.53 kHz. What is the speed of sound in steel?

Step-by-Step Verified Solution

**Answer:** v=5.06×103v = 5.06 \times 10^3 m/s **Step-by-Step Explanation:** For a rod clamped at the middle, the fundamental mode has a node at the centre and antinodes at the ends. The length L=λ/2L = \lambda/2, so λ=2L=2\lambda = 2L = 2 m. Speed: v=fλ=2530×2=5060v = f\lambda = 2530 \times 2 = 5060 m/s =5.06×103= 5.06 \times 10^3 m/s [citation:13].

All Questions in this Chapter

Q14.1 Q14.2 Q14.3 Q14.4 Q14.5 Q14.6 Q14.7 Q14.8 Q14.9 Q14.10 Q14.11 Q14.12 Q14.13 Q14.14 Q14.15 Q14.16 Q14.17 Q14.18 Q14.19

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