Question

If the temperature of a wire of length 2 m and area of cross section 1cm^2 is increased from 0°C to 80°C and is not allowed to increase in length then force required for it is {Y= 10^10

Answer 1

$\huge\mathbb{\blue{QUESTION-}}$

If the temperature of a wire of length 2 m and area of cross section 1cm² is increased from 0°C to 80°C and is not allowed to increase in length then force required for it is ${\sf (Y=10^{10}N/m^2)}$.

$\huge\mathbb{\blue{SOLUTION-}}$

$\large\underline{\underline{\sf Given:}}$

• Lenght of wire (l) = 2m
• Area (A) = 1cm² or 0.001m²
• Y = $\sf{10^{10}N/m^2}$
• $\alpha$ = $\sf{10^{-10}}$

$\large\underline{\underline{\sf To\:Find:}}$

• Force (F).

$\large\underline{\underline{\sf Formula\: Used:}}$

$\large{\boxed{\sf F=Y×A×\alpha×\triangle T}}$

$\implies{\sf 10^{10}×10^{-4}×10^{-10}×80}$

$\implies{\sf 80×10^{-4} }$

$\implies{\bf \red{ 0.008\:N}}$

$\huge\mathbb{\blue{ANSWER-}}$

Force required is ${\bf \red{0.008\:N}}$