Question

# 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, then required length of string is

A
37.5cm
B
40cm
C
50cm
D
62.5cm

Solution

## The correct option is A $$40 cm$$We know that for frequency of sound in string the formula is, $$\displaystyle v = \frac {1}{2l}\sqrt {\frac {T}{m}}$$ or $$\displaystyle v\ \alpha \ \frac {1}{l}$$$$\displaystyle \dfrac {v_1}{v_2} = \dfrac {l_2}{l_1}\Rightarrow \dfrac {800}{1000} = \dfrac {l_2}{50}$$$$\displaystyle l_2 = 50 \times \dfrac {800}{1000}=40 cm$$Physics

Suggest Corrections

0

Similar questions
View More

People also searched for
View More