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

According to the given formula, the velocity of a wave in a rope is directly proportional to the square root of the force applied. Therefore, if the force is doubled, the velocity of the wave will increase by a factor of sqrt(2), which is approximately equal to 1.41. So, the velocity of the wave will be 1.41 times the original velocity, which matches the given statement. Hence, the answer is A.

When a Force F Stretches a Rope of Mass Per