What will be the effect on the speed of transverse waves on a string if the tension in the string remains constant but the diameter of the string becomes double?
Correct answer: B. Becomes Half
- A. Remains constant
- B. Becomes Half
- C. Becomes double
- D. Becomes four times
Explanation
As v=sqrt(T/d),Where T is tension and d is linear density of the stringAlso,d=m/l(mass per unit length)And mass is directly proportional to Area which is directly proportional to square of diameterThus,doubling diameter quadruples the linear density.As v=1/sqrt(d),The speed will be cut in half by doubling diameter.
This question appeared on the ETEA MDCAT 2006 paper, which you can sit online with every answer explained.
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