The breaking stress of aluminium is 7.5 10^7 ,Nm ^ -2 . The great… - Vidyadip

MCQ

The breaking stress of aluminium is $7.5 \times 10^7 \,Nm ^{-2}$. The greatest length of aluminium wire that can hang vertically without breaking is ......... $\times 10^3 \,m$ (Density of aluminium is $2.7 \times 10^3 \,kg m ^{-3}$ )

A
$283$
B
$28.3$
✓
$2.83$
D
$0.283$

✓

Answer

Correct option: C.

$2.83$

c
(c)

Breaking stress $=\rho \times g \times L$

Substitute values from the question

Breaking stress $=7.5 \times 10^7 \,Nm ^{-2}$

$\left\{\begin{array}{l}\rho=\text { Density of material } \\ g=\text { Acceleration due to gravity } \\ L=\text { Length of wire that can hang without breaking }\end{array}\right\}$

$\rho=2.7 \times 10^3 \,kg m ^{-3}$

$g=9.8 \,m / s$

$7.5 \times 10^7=2.7 \times 10^3 \times 9.8 \times L$

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