Answer:
Explanation:
In a sonometer , expression for speed of wave produced can be given as follows .
v = [tex]\sqrt{\frac{T}{m} }[/tex]
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 = [tex]\sqrt{\frac{T}{\frac{m}{4} } }[/tex]
= [tex]\sqrt{\frac{4T}{m} }[/tex]
= 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 .
