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)
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
$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{L_2}{\alpha _2}{Y_2}}}{{{L_1}{\alpha _1}{Y_1}}}$
- D
$\frac{{{A_1}}}{{{A_2}}}\, = \,\frac{{{\alpha _2}{Y_2}}}{{{\alpha _1}{Y_1}}}$
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- [NEET 2016]
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