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A rod, of length L at room temperature and uniform area of cross section A, is made of a metal having coefficient of linear expansion α /ºC. It is observed that an external compressive force F, is applied on each of its ends, prevents any change in the length of the rod, when its temperature rises by Δ TK. Young's modulus, Y, for this metal is :

1. F A T αΔ
2. F 2A T α Δ
3. 2F A T α Δ
4. F A ( T – 273) α Δ CAREER POINT CAREER POINT , CP Tower, IPIA, Road No.1, Kota (Raj.), : 0744-6630500 | www.ecareerpoint.com Email: info@cpil.in Page # 12 JEE Main Online Paper

Correct answer: F A T αΔ

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