A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 × 104 N. When the tension is changed to T, the velocity changed to v/2. The value of T is close to :
Solution
$v = \sqrt {{T \over \mu }}$
<br><br>$\therefore$ ${{{v_1}} \over {{v_2}}} = \sqrt {{{{T_1}} \over {{T_2}}}}$
<br><br>v<sub>1</sub> = v, v<sub>2</sub> = ${v \over 2}$
<br><br>$\Rightarrow$ ${v \over {{v \over 2}}} =$ $\sqrt {{{2.06 \times {{10}^4}} \over {{T_2}}}}$
<br><br>$\Rightarrow$ T<sub>2</sub> = ${{{2.06 \times {{10}^4}} \over 4}}$ = 5.15 × 10<sup>3</sup> N
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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