First slide

Elastic Modulie

Question

The temperature of a wire is doubled. The Young's modulus of elasticity

Easy

A

will also double
B

will become four times
C

will remain same
D

will decrease

Solution

We know that, with increase in temperature, length of a wire changes as
$L_{t} = L_{0} (1 + α Δ T)$
where, $Δ$ T is change in the temperature, L_a is original length, a is coefficient of linear expansion and L_t is length at temperature T.
Now, we can write, $Δ L = L_{t} - L_{o} = L_{o} α Δ T$
Young's modulus $(Y) = \frac{Stress}{Strain} = \frac{F L_{o}}{A \times Δ L} = \frac{F L_{o}}{A L_{o} α Δ T} \propto \frac{1}{Δ T}$
As, $Y \propto \frac{1}{Δ T}$
When temperature ( $Δ$ T) increases, hence Y decreases.

Get Instant Solutions

When in doubt download our app. Now available Google Play Store- Doubts App

Recieve an sms with download link

Doubts App

OR

SCAN ME

Doubts App

Doubts App