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The mass per unit length of a uniform wire is 0 . 135 g cm - 1 . A transverse wave of the form y = - 0 . 21 sin x + 30 t 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 × 10 - 2 N . Value of x is (Round-off to the nearest integer)

Correct answer

0

Step-by-step solution

μ = 0 . 135   gm   cm - 1 = 0 . 0135   kg   m - 1 y = - 0 . 21 sin x + 30 t ( x in meter & t in sec) v = ω k = 30 1 = 30   m   s - 1 v = T μ ⇒ T = v 2 μ = 30 2 0 . 0135 = 12 . 15 = x × 10 - 2   N ⇒ x = 1215

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