The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of the form y = $-$ 0.21 sin (x + 30t) is produced in it, where x is in meter and t is in second. Then, the expected value of tension in the wire is x $\times$ 10$-$2 N. Value of x is _________. (Round off to the nearest integer)
Answer (integer)
1215
Solution
$\mu = 0.135$ gm/cm<br><br>$\mu = 0.135 \times {{{{10}^{ - 3}}} \over {{{10}^{ - 2}}}}{{kg} \over m}$<br><br>y = $-$0.21 sin (x + 30t)<br><br>$v = {\omega \over K} = {{30} \over 1}$ = 30 m/s<br><br>v = $\sqrt {{T \over \mu }}$<br><br>T = v<sup>2</sup> $\times$ $\mu$<br><br>T = (30)<sup>2</sup> $\times$ 0.135 $\times$ 10<sup>$-$1</sup><br><br>T = 900 $\times$ 0.135 $\times$ 10<sup>$-$1</sup><br><br>T = 12.15 N<br><br>T = 1215 $\times$ 10<sup>$-$2</sup> N<br><br>x = 1215
About this question
Subject: Physics · Chapter: Waves · Topic: Wave Motion and Types
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