A metal rod has a length of $$1m$$ at $$300C$$ , 'α' of metal is $$2.5$$×$$10$$−$$5/0C$$, the temperature at which it will be shortened by $$1mm$$ is

Question

A metal rod has a length of $$1m$$ at $$300C$$ ,  'α' of metal is  $$2.5$$×$$10$$−$$5/0C$$, the temperature at which it will be shortened by $$1mm$$ is

Infinity Learn · Accepted Answer

coefficient of linear expansion of solid isα$$=$$ΔllΔthere Δl $$=-1mm=-10-3m=decrease$$ in lengthl is initial $$length=1m$$; Δt is change in temperature;initial temperature $$=$$ $$300C$$; α$$=2.5x10-5/C$$  $$0$$     substitute given values in above $$equation2.5$$×$$10$$−$$5=$$−$$10$$−$$31$$×$$t2$$−$$30t2$$−$$30=$$−$$12.5$$×$$10$$−$$2=$$−$$1002.5t2$$−$$30=$$−$$40t2=$$−$$40+30=$$−$$100C=temperature$$ at which rod will be shortened

A metal rod has a length of 1m at $30^{0} C$ , $' α'$ of metal is $2.5 \times 10^{- 5} /^{0} C$ , the temperature at which it will be shortened by 1mm is

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A metal rod has a length of 1m at 300C , 'α' of metal is 2.5×10−5/0C, the temperature at which it will be shortened by 1mm is

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A metal rod has a length of 1m at $30^{0} C$ , $' α'$ of metal is $2.5 \times 10^{- 5} /^{0} C$ , the temperature at which it will be shortened by 1mm is