JEE Advanced2019PhysicsWaves and SoundActual
Answer the following by appropriately matching the lists based on the information given in the paragraph. A musical instrument is made using four different metal strings, 1 , 2 , 3 and 4 with mass per unit length μ ,   2 μ ,   3 μ and 4 μ respectively. The instrument is played by vibrating the strings by varying the free length in between the range L 0 and 2 L 0 . It is found that in s
Options
- Aa - p , b - r , c - s , d - q
- Ba - p , b - q , c - t , d - s
- Ca - q , b - s , c - r , d - p
- Da - q , b - p , c - r , d - t
Correct answer
A. a - p , b - r , c - s , d - q
Step-by-step solution
Fundamental frequency is maximum when length is minimum i.e. L 0 , Case 1 . L = L 0 , T = T 0 , f = f 0 ; f 1 = 1 2 L 0 T 0 μ = f 0 (fundamental frequency of vibration in string fixed at both ends) Case 2 . f 2 = 1 L 0 T 2 2 μ = f 0 2 Case 3 . f 3 = 1 L 0 T 2 3 μ = f 0 3 Case 4 . f 4 = 1 L 0 T 2 4 μ = f 0 2