A steel tape of 300 ,cm length is graduated a | vedclass

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

Question

(A) Let $L_0 = 300 \,cm$ be the length of the steel tape at $27^{\circ} C$. At $50^{\circ} C$, the length of the tape becomes $L_T = L_0(1 + \alpha \D

Vedclass · Accepted Answer

$110.03$

Vedclass · Answer

(A) Let $L_0 = 300 \,cm$ be the length of the steel tape at $27^{\circ} C$. At $50^{\circ} C$, the length of the tape becomes $L_T = L_0(1 + \alpha \Delta T)$. Here, $\Delta T = 50^{\circ} C - 27^{\circ} C = 23^{\circ} C$. $L_T = 300(1 + 1.2 	imes 10^{-5} 	imes 23) = 300(1 + 0.000276) = 300.0828 \,cm$. The measured length of the rod is $L_m = 110 \,cm$. The actual length $L_a$ is given by $L_a = L_m 	imes \frac{L_T}{L_0}$. $L_a = 110 	imes \frac{300.0828}{300} = 110 	imes (1 + 0.000276) = 110 + 0.03036 = 110.03036 \,cm$. Rounding to two decimal places, the actual length is $110.03 \,cm$.

$A$ steel tape of $300 \,cm$ length is graduated at $27^{\circ} C$. The length of a steel rod measured using the tape is found to be $110 \,cm$ at $50^{\circ} C$. The actual length of the steel rod at $50^{\circ} C$ is $(\alpha_{\text{steel}} = 1.2 \times 10^{-5} \,K^{-1})$. (in $\,cm$)

Similar Questions

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

$A$ thin copper wire of length $l$ meters is heated by $10^{\circ}C$,resulting in a $2\%$ increase in its length. If a square copper sheet of side $l$ meters is heated by the same $10^{\circ}C$,what is the percentage change in its area?

When the temperature of a rod increases from $t$ to $(t + \Delta t)$,its moment of inertia increases from $I$ to $(I + \Delta I)$. If $\alpha$ is the coefficient of linear expansion of the rod,then the value of $(\frac{\Delta I}{I})$ is

To keep constant time,watches are fitted with a balance wheel made of:

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