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8.Mechanical Properties of Solids
hard
Two steel wires of same length but radii $r$ and $2r$ are connected together end to end and tied to a wall as shown. The force stretches the combination by $10\ mm$ . How far does the midpoint $A$ move ......... $mm$
A
$2$
B
$4$
C
$6$
D
$8$
Solution
$\frac{F}{A_{1}}=Y \frac{\triangle l_{1}}{\lim }$ plies $\triangle l-1=\frac{F l}{A_{1} Y}$
$\frac{F}{A_{2}}=Y \frac{\triangle l_{2}}{\lim }$ plies $\triangle l-2=\frac{F l}{A_{2} Y}=\frac{F l}{4 A_{1}}=8 m m$
$\Delta l-1+\triangle l_{2}=10 m m$
$\frac{F l}{A_{1} y}+\frac{F l}{4 A_{1} Y}=10 m m \Rightarrow \frac{F l}{A_{1} Y}=8 m m$
Standard 11
Physics
Similar Questions
Column$-II$ is related to Column$-I$. Join them appropriately :
| Column $-I$ | Column $-II$ |
| $(a)$ When temperature raised Young’s modulus of body | $(i)$ Zero |
| $(b)$ Young’s modulus for air | $(ii)$ Infinite |
| $(iii)$ Decreases | |
| $(iv)$Increases |
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