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

Explanation:

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

v =

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 =

=

= 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 .

this is poiselle's equation from fluid mechanic in physics. mech eng

energy can be converted from one form to another, but it cannot be created or destroyed in ordinary chemical or physical means. do not understand what you are asking but hope this