Q. A string in a musical instrument is 50 cm long and its fundamental frequency is 800 Hz. If a frequency of 1000 Hz is to be produced, the required length of string is
A) 62.5 cm
B) 50 cm
C) 40 cm
D) 37.5 cm
Explanation
(c) According to the law of length
$n_{1}l_{1} = n_{2}l_{2}$
$l_{2} = \frac{n_{1}l_{1}}{n_{2}} = \frac{800 \times 50}{1000} = 40\ cm$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.