A wire is 4 m long and has a mass 0.2 kg. The wire is kept horizontally. A transverse pulse is generated by plucking one end of the taut (tight) wire. The pulse makes four trips back and forth along the cord in 0.8 sec. The tension is the cord will be

Question

A wire is 4 m long and has a mass 0.2 kg. The wire is kept horizontally. A transverse pulse is generated by plucking one end of the taut (tight) wire. The pulse makes four trips back and forth along the cord in 0.8 sec. The tension is the cord will be (A) 80 N (B) 160 N (C) 240 N (D) 320 N

Tardigrade Admin · Accepted Answer

4 trips means 32 m <img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/physics/e75391040c1000ca12c9fbd2cd4a4d6a-.png" /> t =( d / v ) ⇒ v =( d / t )=(32/0.8)=40 m / s v =√( T /μ) ⇒ T =μ v 2 T =(0.2/4) ×(40)2 =(2 × 16 × 10/4) T =80 N

Q. A wire is $4 m$ long and has a mass $0.2 k g$ . The wire is kept horizontally. A transverse pulse is generated by plucking one end of the taut (tight) wire. The pulse makes four trips back and forth along the cord in 0.8 sec. The tension is the cord will be

$80 N$

$160 N$

$240 N$

$320 N$

4 trips means 32 m

$t = \frac{d}{v}$
$\Rightarrow v = \frac{d}{t} = \frac{32}{0.8} = 40 m / s$
$v = \frac{T}{μ}$
$\Rightarrow T = μ v^{2}$
$T = \frac{0.2}{4} \times (40)^{2}$
$= \frac{2 \times 16 \times 10}{4}$
$T = 80 N$

Q. A wire is 4m long and has a mass 0.2kg. The wire is kept horizontally. A transverse pulse is generated by plucking one end of the taut (tight) wire. The pulse makes four trips back and forth along the cord in 0.8 sec. The tension is the cord will be

80N

160N

240N

320N