Physics - Wave on String Question with Solution | TestHub
Assertion (A): The speed of a transverse wave on a string increases if the tension in the string is increased.
Reason (R): The speed of a transverse wave on a string is directly proportional to the square root of the tension and inversely proportional to the square root of its linear mass density. A. Both A and R are true and R is the correct explanation of A. B. Both A and R are true but R is not the correct explanation of A. C. A is true but R is false. D. A is false but R is true.
Options:
Answer:
Solution:
The speed of a transverse wave on a string is given by the formula , where is the tension in the string and is its linear mass density. From this formula, it is clear that if the tension increases, the speed will also increase. The reason correctly states the proportionality of the speed to the square root of tension and inverse proportionality to the square root of linear mass density, which directly explains why increasing tension increases speed.
