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  • A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 x 104 N . When the tension is changed to t, the velocity changed to v/2. The value of T (in N ) is close to : Option: 1 5.

A transverse wave travels on a taut steel wire with a velocity of v when tension in it is 2.06 x 104 N . When the tension is changed to t, the velocity changed to v/2. The value of T (in N ) is close to :
Option: 1 5.15 x 103 
Option: 2 10.2 x 102 
Option: 3 2.50 x 104 
Option: 4 30.5 x 104 
 

Answers (1)

best_answer

 

 

 

Velocity

\\v\propto\sqrt{T}\\\\\frac{T_1}{T_2}=(\frac{v_1}{v_2})^2\\\\\frac{T_1}{T_2}=(\frac{v}{v/2})^2=4\\\\\Rightarrow T_2=\frac{T_1}{4}=0.515\times10^4\\T_2=5.15\times10^3 N

Hence the correct option is (1)

Posted by

vishal kumar

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