First slide

Thermal expansion

Question

Two rods of different materials will have same different in lengths at all temperatures if they have same expansions then , given $(α_{1}, α_{2} a r e c o e f f i c i e n t o f l i n e a r e x p a n s i o n s; l_{1}, l_{2} a r e l e n g t h s o f r o d s)$

Easy

A

$l_{2} α_{2} = l_{2} α_{1}$
B

$l_{1} α_{1} = l_{2} α_{2}$
C

$l_{1} α_{1} > l_{2} α_{2}$
D

$l_{1} α_{2} < l_{2} α_{1}$

Solution

$g i v e n ∆ l_{1} = ∆ l_{2} (d i f f e r e n c e i n l e n g t h s i s s a m e) \Rightarrow l_{1} α_{1} ∆ t = l_{2} α_{2} ∆ t (g i v e n a t a l l t e m p e r a t u r e) \Rightarrow l_{1} α_{1} = l_{2} α_{2}$

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