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 × 10^-2 N. Value of x is-----------. (Round-off to the nearest integer)

<p><math><mrow><mi>v</mi><mo>=</mo><mfrac><mrow><mi>ω</mi></mrow><mrow><mi>k</mi></mrow></mfrac><mo>=</mo><mfrac><mrow><mn>3</mn><mn>0</mn></mrow><mrow><mn>1</mn></mrow></mfrac><mo>=</mo><mn>3</mn><mn>0</mn><mi>m</mi><mo>/</mo><mi>s</mi></mrow></math></p><p><math><mrow><mi>v</mi><mo>=</mo><mroot><mrow><mfrac><mrow><mi>T</mi></mrow><mrow><mi>μ</mi></mrow></mfrac></mrow><mrow></mrow></mroot><mo>⇒</mo><mi>T</mi><mo>=</mo><mi>μ</mi><msup><mrow><mi>v</mi></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mfrac><mrow><mn>0</mn><mo>.</mo><mn>1</mn><mn>3</mn><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>3</mn></mrow></msup></mrow><mrow><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup></mrow></mfrac><mo>×</mo><msup><mrow><mrow><mo> (</mo><mrow><mn>3</mn><mn>0</mn></mrow><mo>)</mo></mrow></mrow><mrow><mn>2</mn></mrow></msup><mo>=</mo><mn>1</mn><mn>2</mn><mo>.</mo><mn>1</mn><mn>5</mn><mi>N</mi><mo>=</mo><mn>1</mn><mn>2</mn><mn>1</mn><mn>5</mn><mo>×</mo><mn>1</mn><msup><mrow><mn>0</mn></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mi>N</mi></mrow></math></p>

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