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 .

explanation:

as the height from which the ruler was dropped increased, the speed of the ruler at ryan's hand increased.

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