When a force F stretches a rope of mass per unit length ρ,the velocity of a wave in the rope is given by
-You pull on a rope with a certain force,and a wave travels in the rope with a certain velocity.If you double your force,the velocity of a wave in the rope is now
times the original velocity.

Question

When a force F stretches a rope of mass per unit length ρ,the velocity of a wave in the rope is given by 
-You pull on a rope with a certain force,and a wave travels in the rope with a certain velocity.If you double your force,the velocity of a wave in the rope is now  
times the original velocity.

Quizplus · Accepted Answer

The velocity of a wave in a rope is directly proportional to the square root of the tension in the rope and inversely proportional to the square root of the mass per unit length of the rope. Therefore, if you double the force, you double the tension in the rope, and the velocity of a wave in the rope increases by a factor of the square root of 2. This means that the new velocity is 1.414 times the original velocity, as given in option A.

When a Force F Stretches a Rope of Mass Per