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 have two identical ropes stretched with the same force between two different sets of posts.The second rope is twice as long as the first rope.The velocity of a wave in the second rope is half the velocity of a wave in the first rope.

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 have two identical ropes stretched with the same force between two different sets of posts.The second rope is twice as long as the first rope.The velocity of a wave in the second rope is half the velocity of a wave in the first rope.

Quizplus · Accepted Answer

According to the formula given, the velocity of the wave in the rope depends on the force applied and the mass per unit length of the rope. The length of the rope does not affect the velocity according to this formula, so the velocity of the wave in the second rope would be the same as that in the first rope, assuming the force and mass per unit length are the same. Therefore, the statement in the question is false.

When a Force F Stretches a Rope of Mass Per