Two metal rods A and B each of length 50 cm | vedclass

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

Question

(C) The change in length of the combined rod is the sum of the changes in lengths of the individual rods.$\Delta l = \Delta l_A + \Delta l_B$Using the

Vedclass · Accepted Answer

$3$

Vedclass · Answer

(C) The change in length of the combined rod is the sum of the changes in lengths of the individual rods.$\Delta l = \Delta l_A + \Delta l_B$Using the formula for linear expansion $\Delta l = l \alpha \Delta T$, where $l = 0.5 \ m$, $\Delta T = 230^{\circ} C - 30^{\circ} C = 200^{\circ} C$, $\alpha_A = 2.0 	imes 10^{-5} /^{\circ} C$, and $\alpha_B = 1.0 	imes 10^{-5} /^{\circ} C$:$\Delta l = (l_A \alpha_A \Delta T) + (l_B \alpha_B \Delta T)$$\Delta l = l \Delta T (\alpha_A + \alpha_B)$$\Delta l = 0.5 	imes 200 	imes (2.0 	imes 10^{-5} + 1.0 	imes 10^{-5})$$\Delta l = 100 	imes (3.0 	imes 10^{-5})$$\Delta l = 3.0 	imes 10^{-3} \ m = 3 \ mm$Therefore, the change in length is $3 \ mm$.

Similar Questions

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

The ratio of linear expansion coefficient,area expansion coefficient,and volume expansion coefficient is ...............

$A$ pendulum clock loses $12 \ s$ a day if the temperature is $40^{\circ} C$ and gains $4 \ s$ a day if the temperature is $20^{\circ} C$. The temperature at which the clock will show the correct time is: (in $^{\circ} C$)

$A$ solid rectangular sheet has two different coefficients of linear expansion $\alpha_{1}$ and $\alpha_{2}$ along its length and breadth respectively. The coefficient of surface expansion is (for $\alpha_{1} \Delta t \ll 1, \alpha_{2} \Delta t \ll 1$):

Vedclass Test Series

Exam Paper Generator

Online Exam Module