A string of length 1 m fixed at both ends is vibrating in 3 text rd overtone. Tension in string is 200 N and linear mass density is 5 gm / m. Frequency of these vibrations is (in Hz ).

Question

A string of length 1 m fixed at both ends is vibrating in 3 text rd overtone. Tension in string is 200 N and linear mass density is 5 gm / m. Frequency of these vibrations is (in Hz ). (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

III text rd overtone f=(4 V/2 L)=(2 V/L)=(2/1) √(200/(5 / 1000)) =2(200) ; f=400 Hz

Q. A string of length $1 m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200 N$ and linear mass density is $5 g m / m$ . Frequency of these vibrations is (in $Hz$ ).

$II I^{rd}$ overtone
$f = \frac{4 V}{2 L} = \frac{2 V}{L} = \frac{2}{1} \frac{200}{( 5/1000 )}$
$= 2 (200); f = 400 Hz$

Q. A string of length 1m fixed at both ends is vibrating in 3rd overtone. Tension in string is 200N and linear mass density is 5gm/m. Frequency of these vibrations is (in Hz ).

IIIrd overtone f=2L4V​=L2V​=12​(5/1000)200​​ =2(200);f=400Hz

Q. A string of length $1 m$ fixed at both ends is vibrating in $3^{rd}$ overtone. Tension in string is $200 N$ and linear mass density is $5 g m / m$ . Frequency of these vibrations is (in $Hz$ ).

$II I^{rd}$ overtone
$f = \frac{4 V}{2 L} = \frac{2 V}{L} = \frac{2}{1} \frac{200}{( 5/1000 )}$
$= 2 (200); f = 400 Hz$