Wave Mechanics Question 738

Question: The tension in a piano wire is 10N. What should be the tension in the wire to produce a note of double the frequency

[AIIMS 2001]

Options:

A) 5 N

B) 20 N

C) 40 N

D) 80 N

Show Answer

Answer:

Correct Answer: C

Solution:

$ n\propto \sqrt{T} $

Therefore $ \frac{n _{1}}{n _{2}}=\sqrt{\frac{T _{1}}{T _{2}}} $

Therefore $ \frac{n}{2n}=\sqrt{\frac{10}{T _{2}}} $

Therefore $ T _{2}=40N $