A transverse wave described by y=(0.02 m ) sin [(1.0 m -1) x+(30 s-1) t] propagates on a stretched string having a linear mass density of 1.2 × 10-4 kg / m. Find the tension in the string. (in N)

Question

A transverse wave described by y=(0.02 m ) sin [(1.0 m -1) x+(30 s-1) t] propagates on a stretched string having a linear mass density of 1.2 × 10-4 kg / m. Find the tension in the string. (in N) (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

v =√( T /μ) ⇒ v 2=( T /μ) T = v 2 μ (given μ=1.2 × 10-4 kg / m ) compare given equation with standard wave equation ω=(2 π/ T )=30 s -1 k =(2 π/λ)=1.0 m -1 v =(ω/ k )=(30/1)=30 ms -1 T =(302)(1.2 × 10-4 Kg / m ) 900 × 1.2 × 10-4=10.8 × 10-2 =0.108 N

Q. A transverse wave described by y=(0.02m)sin[(1.0m−1)x+(30s−1)t] propagates on a stretched string having a linear mass density of 1.2×10−4kg/m. Find the tension in the string. (in N)

v=μT​​⇒v2=μT​ T=v2μ (given μ=1.2×10−4kg/m ) compare given equation with standard wave equation ω=T2π​=30s−1 k=λ2π​=1.0m−1 v=kω​=130​=30ms−1 T=(302)(1.2×10−4Kg/m) 900×1.2×10−4=10.8×10−2 =0.108N

Q. A transverse wave described by $y = (0.02 m) sin [(1.0 m^{- 1}) x + (30 s^{- 1}) t]$ propagates on a stretched string having a linear mass density of $1.2 \times 1 0^{- 4} k g / m$ . Find the tension in the string. (in $N$ )