The area of a circular copper coin increases | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) Given, the area of a circular copper coin increases by $0.4 \%$.This means, $\frac{\Delta A}{A} = 0.004$.The increase in temperature is $\Delta T

Vedclass · Accepted Answer

$2 	imes 10^{-5} /^{\circ} C$

Vedclass · Answer

(B) Given, the area of a circular copper coin increases by $0.4 \%$.This means, $\frac{\Delta A}{A} = 0.004$.The increase in temperature is $\Delta T = 100^{\circ} C$.We know that the coefficient of areal expansion $\beta$ is defined as $\beta = \frac{\Delta A}{A \cdot \Delta T}$.Substituting the values, we get $\beta = \frac{0.004}{100} = 4 	imes 10^{-5} /^{\circ} C$.The relationship between the coefficient of areal expansion $\beta$ and the coefficient of linear expansion $\alpha$ is $\beta = 2\alpha$.Therefore, $\alpha = \frac{\beta}{2} = \frac{4 	imes 10^{-5}}{2} /^{\circ} C = 2 	imes 10^{-5} /^{\circ} C$.

The area of a circular copper coin increases by $0.4 \%$ when its temperature is raised by $100^{\circ} C$. The coefficient of linear expansion of the coin is:

Similar Questions

$A$ rod of length $10 \, m$ at $0 \, ^oC$ has a linear expansion coefficient $\alpha = (2x^2 + 1) \times 10^{-6} \, ^oC^{-1}$,where $x$ is the distance from one end of the rod. The length of the rod at $10 \, ^oC$ is: (in $, m$)

$A$ thin copper wire of length $L$ increases in length by $1\%$ when heated from temperature $T_1$ to $T_2$. What is the percentage change in area when a thin copper plate having dimensions $2L \times L$ is heated from $T_1$ to $T_2$?

The coefficient of superficial expansion of a solid is $2 \times 10^{-5} \text{ °C}^{-1}$. Its coefficient of linear expansion is:

When a copper sphere is heated,in which of the following will the maximum percentage change be observed?

The volume of a metal sphere increases by $0.15\%$ when its temperature is raised by $24\,^{\circ}C$. The coefficient of linear expansion of the metal is:

Vedclass Test Series

Exam Paper Generator

Online Exam Module