Speed of Wave on String — MCQ Practice

A string of length $L$ and mass $M$ is stretched by a tension $T$. A transverse wave travels along the string. If the tension is doubled and the mass of the string is halved while its length remains constant, what will be the new speed of the transverse wave?

A string of length $0.5\,\text{m}$ and mass $5\,\text{g}$ is stretched with a tension of $200\,\text{N}$. What is the speed of a transverse wave on this string?

Which of the following statements about the speed of a transverse wave on a stretched string is INCORRECT?

A uniform string of mass $m$ and length $L$ is suspended vertically from a rigid support. A transverse wave pulse is generated at the bottom end of the string. What is the speed of the pulse as it travels upwards at a distance $x$ from the bottom end?

Two strings, A and B, are made of the same material and have the same length. String A has a radius twice that of string B. If both strings are subjected to the same tension, what is the ratio of the speed of a transverse wave on string A to that on string B ($v_A/v_B$)?

A string is under tension $T$. The speed of a transverse wave on the string is $v$. If the tension is increased by $21\%$, what is the percentage change in the speed of the wave?