A steel wire has a length of 90 cm which is under a constant tension of 100 N. The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel Wire to be 6 × 10-3 kg)

Question

A steel wire has a length of 90 cm which is under a constant tension of 100 N. The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel Wire to be 6 × 10-3 kg) (A)  50 m / s (B)  50 cm / s (C)  1 / 3√6 m / s (D) 50√6 m / s

Tardigrade Admin · Accepted Answer

Speed of transver~e wave, v = √(T/μ) Here, T = 100 N, m = 6 × 10-3 kg I= 90 cm = 0.9 m μ =(m/l) =(6×10-3/0.9) =(6/9) ×10-2 kg m-1 v = √(100/(6)9 ×10-2) =√(9/6) ×104 = 50√6 m s-1

Q. A steel wire has a length of $90 c m$ which is under a constant tension of $100 N$ . The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel Wire to be $6 \times 1 0^{- 3} k g$ )

$50 m / s$

$50 c m / s$

$1/3 6 m / s$

$506 m / s$

Q. A steel wire has a length of 90cm which is under a constant tension of 100N. The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel Wire to be 6×10−3kg)

50m/s

50cm/s

1/36​m/s

506​m/s

Speed of transver~e wave, v=μT​​ Here, T=100N,m=6×10−3kg I=90cm=0.9m μ=lm​=0.96×10−3​=96​×10−2kgm−1 v=96​×10−2100​​=69​×104​ =506​ms−1

Q. A steel wire has a length of $90 c m$ which is under a constant tension of $100 N$ . The speed of the transverse waves that can be produced in the wire will be (take the mass of the steel Wire to be $6 \times 1 0^{- 3} k g$ )

$50 m / s$

$50 c m / s$

$1/3 6 m / s$

$506 m / s$