MCQ
Two rods are joined between fixed supports as shown in the figure. Condition for no change in the lengths of individual rods with the increase of temperature will be
( ${\alpha _1},\,{\alpha _2},$ = linear expansion coefficient
$A_1, A_2$ = Area of rods
$Y_1, Y_2$ = Young modulus)
- A$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{\alpha _1}{Y_1}}}{{{\alpha _2}{Y_2}}}$
- B$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{L_1}{\alpha _1}{Y_1}}}{{{L_2}{\alpha _2}{Y_2}}}$
- C$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{L_2}{\alpha _2}{Y_2}}}{{{L_1}{\alpha _1}{Y_1}}}$
- ✓$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{\alpha _2}{Y_2}}}{{{\alpha _1}{Y_1}}}$
