A 40 cm wire having a mass of 3 2 g is stretched between two fixed supports 40 05 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is 1 0 mm 2 , find its Young modulus.

Question

Philoid · Accepted Answer

Mass per unit length,

Change in the length,

We know that,

Strain=

Now,

We know here, f, L, m.

Equating these, we get,

T=248.19 N

Now,

So, Young’s modulus =

A 40 cm wire having a mass of 32 g is stretched between two fixed supports 4005 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is 10 mm2, find its Young modulus.

A 40 cm wire having a mass of 32 g is stretched between two fixed supports 4005 cm apart. In its fundamental mode, the wire vibrates at 220 Hz. If the area of cross section of the wire is 10 mm², find its Young modulus.