A 10 m long steel wire has mass 5 g. If the wire is under a tension of 80 N, the speed of transverse waves on the wire is

Question

A 10 m long steel wire has mass 5 g. If the wire is under a tension of 80 N, the speed of transverse waves on the wire is (A) 100 ms-1 (B) 200 ms-1 (C) 400 ms-1 (D) 500 ms-1

Tardigrade Admin · Accepted Answer

Here, Length, L = 10 m Mass, M = 5 g = 5 × 10-3 kg Tension, T = 80 N Mass per unit length of the wire is μ = (M/L) = (5 × 10-3 kg/10 m) = 5 × 10-4 kg m-1 Speed of the transverse wave on the wire is v = √(T/μ) = √(80 N/5 × 10-4 kg m-1) = 4 × 102 ms-1 = 400 ms-1

Q. A $10 m$ long steel wire has mass $5 g$ . If the wire is under a tension of $80 N$ , the speed of transverse waves on the wire is

$100 m s^{- 1}$

$200 m s^{- 1}$

$400 m s^{- 1}$

$500 m s^{- 1}$

Q. A 10m long steel wire has mass 5g. If the wire is under a tension of 80N, the speed of transverse waves on the wire is

100ms−1

200ms−1

400ms−1

500ms−1

Here, Length, L=10m Mass, M=5g=5×10−3kg Tension, T=80N Mass per unit length of the wire is μ=LM​=10m5×10−3kg​ =5×10−4kgm−1 Speed of the transverse wave on the wire is v=μT​​=5×10−4kgm−180N​​ =4×102ms−1 =400ms−1

Q. A $10 m$ long steel wire has mass $5 g$ . If the wire is under a tension of $80 N$ , the speed of transverse waves on the wire is

$100 m s^{- 1}$

$200 m s^{- 1}$

$400 m s^{- 1}$

$500 m s^{- 1}$