A steel wire has a length of 12 m and a mass of 2.10 kg What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20° C is 343 m s -1

Question

A steel wire has a length of 12 m and a mass of 2.10 kg What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20° C is 343 m s -1 (A) 1.74 × 104 N (B) 2.06 × 104 N (C) 2.25 × 104 N (D) 2.56 × 104 N

Tardigrade Admin · Accepted Answer

v=√(T/μ) T=μ v2=(M/L) v2 =((2.1)/12)(343)2 =2.06 × 104 N

Q. A steel wire has a length of 12 m and a mass of 2.10 kg What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at $2 0^{\circ} C$ is $343 m s^{- 1}$

$1.74 \times 1 0^{4} N$

$2.06 \times 1 0^{4} N$

$2.25 \times 1 0^{4} N$

$2.56 \times 1 0^{4} N$

$v = \frac{T}{μ}$
$T = μ v^{2} = \frac{M}{L} v^{2}$
$= \frac{( 2.1 )}{12} (343)^{2}$
$= 2.06 \times 1 0^{4} N$

Q. A steel wire has a length of 12 m and a mass of 2.10 kg What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20∘C is 343ms−1

1.74×104N

2.06×104N

2.25×104N

2.56×104N