Question

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

Answer 1

Step-by-step explanation:

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

v =
`\sqrt{(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{(T)/((m)/(4) ) }`

=
`\sqrt{(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 .