Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g / m. When both the strings vibrate simultaneously the number of beats is :

Question

Each of the two strings of length 51.6 cm and 49.1 cm are tensioned separately by 20 N force. Mass per unit length of both the strings is same and equal to 1 g / m. When both the strings vibrate simultaneously the number of beats is : (A) 7 (B) 8 (C) 3 (D) 5

Tardigrade Admin · Accepted Answer

l1=0.516 m, l2=0.491 m, T=20 N Mass per unit length, μ=0.001 kg / m Frequency, v1=(1/2 × 0.516) √(20/0.001) v2 (1/2 × 0.491) √(20/0.001) ∴ Number of beats =v1-v2=7 .

Q. Each of the two strings of length $51.6 c m$ and $49.1 c m$ are tensioned separately by $20 N$ force. Mass per unit length of both the strings is same and equal to $1 g / m$ . When both the strings vibrate simultaneously the number of beats is :

7

8

3

5

$l_{1} = 0.516 m, l_{2} = 0.491 m, T = 20 N$
Mass per unit length, $μ = 0.001 k g / m$
Frequency,
$v_{1} = \frac{1}{2 \times 0.516} \frac{20}{0.001}$
$v_{2} \frac{1}{2 \times 0.491} \frac{20}{0.001}$
$∴$ Number of beats $= v_{1} - v_{2} = 7.$

Q. Each of the two strings of length 51.6cm and 49.1cm are tensioned separately by 20N force. Mass per unit length of both the strings is same and equal to 1g/m. When both the strings vibrate simultaneously the number of beats is :

7

8

3

5

l1​=0.516m,l2​=0.491m,T=20N Mass per unit length, μ=0.001kg/m Frequency, v1​=2×0.5161​0.00120​​ v2​2×0.4911​0.00120​​ ∴ Number of beats =v1​−v2​=7.

Q. Each of the two strings of length $51.6 c m$ and $49.1 c m$ are tensioned separately by $20 N$ force. Mass per unit length of both the strings is same and equal to $1 g / m$ . When both the strings vibrate simultaneously the number of beats is :

$l_{1} = 0.516 m, l_{2} = 0.491 m, T = 20 N$
Mass per unit length, $μ = 0.001 k g / m$
Frequency,
$v_{1} = \frac{1}{2 \times 0.516} \frac{20}{0.001}$
$v_{2} \frac{1}{2 \times 0.491} \frac{20}{0.001}$
$∴$ Number of beats $= v_{1} - v_{2} = 7.$