Question

Breaking stress for a material is 2 x 108 N/m2. What maximum length of the wire of this material can be taken so that the wire does not break by own weight? (Density of material = 5 x 109 kg/m] (1) 1 km (2) 2 km (3) 3 km 4 km​

Answer 1

Explanation:

Let length =L

So, mass of length L=( Density of wire) (volume of wire)

Density of wire =ρ=5×10

3

Kg/m

3

Volume =LA(A= Area of cross section )

Stress=

Area

Force

2×10

8

=

A

mg

=

A

ρLAq

So, L=

ρ×g

2×10

8

=

5×10

3

×10

2×10

8

L=4000 m

L=4 km