Q.
Two organ pipes, each closed at one end, give 5 beats $s^{- 1}$ when emitting their fundamental notes. If their lengths are in the ratio 50:51, their fundamental frequencies are
A) 250,255
B) 255,260
C) 260,265
D) 265,270
Explanation
(a) $\frac{n_{1}}{n_{2}} = \frac{l_{2}}{l_{1}} = \frac{51}{50}$
$n_{1} - n_{2} = 5$. On solving, we get
$n_{2} = 250,\ n_{1} = 255$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.