Question

In a sonometer by what change in linear density of wire its velocity becomes double? Keeping tension of wire constant

Answer 1

Answer:

Explanation:

In a sonometer , expression for speed of wave produced can be given as follows .

v = $\sqrt{\frac{T}{m} }$

v is velocity , T is tension in wire , m is density per unit length .

Here v is inversely proportional to square root of m . So if m becomes m / 4

velocity changes as follows .

velocity = $\sqrt{\frac{T}{\frac{m}{4} } }$

= $\sqrt{\frac{4T}{m} }$

= 2v

velocity becomes two times . Hence to make velocity two times , mass per unit length  has to be changed to one fourth value , keeping tension constant .