The focal length of spherical mirror is given by $$f=R2$$ when R is the radius of curvature of the mirror. For a given spherical mirror made of steel the focal length is $$f=$$ $$24.0$$ cm. What is the new focal length if temperature is increased by $$50$$°C? Given αsteel $$=12$$×$$10$$−$$5/C$$

Question

The focal length of spherical mirror is given by $$f=R2$$ when R is the radius of curvature of the mirror. For a given spherical mirror made of steel the focal length is $$f=$$ $$24.0$$ cm. What is the new focal length if temperature is increased by $$50$$°C?  Given αsteel $$=12$$×$$10$$−$$5/C$$

Infinity Learn · Accepted Answer

Δ$$l=(1+$$αΔ$$T)Rf=R1+12$$×$$10$$−$$5$$×$$50Rf=481+600$$×$$10$$−$$5Rf=48(1+0.006)Rf=48(1.006)Rf=48.288f=R2f=24.144cm$$

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The focal length of spherical mirror is given by f=R2 when R is the radius of curvature of the mirror. For a given spherical mirror made of steel the focal length is f= 24.0 cm. What is the new focal length if temperature is increased by 50°C? Given αsteel =12×10−5/C

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