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Percentage increase in volume $\frac{Δ V}{V} \times 100 = x α Δ t \times 100$ where $x =$ $(w h e r e α = c o e f f i c i e n t o f l i n e a r e x p a n s i o n o f t h e s o l i d; ∆ t i s c h a n g e i n t e m p e r a t u r e o f s o l i d)$

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Correct option is C

Percentage increase in volume= γ dt x100=3α dt x100=xα dt so x=3coefficient of volume expansion of a solid is γ=3α where α=coefficient of linear expansion of the solid

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Percentage increase in volume ΔVV×100=xαΔt×100 where x=(where α=coefficient of linear expansion of the solid;∆t is change in temperature of solid)

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Percentage increase in volume $\frac{Δ V}{V} \times 100 = x α Δ t \times 100$ where $x =$ $(w h e r e α = c o e f f i c i e n t o f l i n e a r e x p a n s i o n o f t h e s o l i d; ∆ t i s c h a n g e i n t e m p e r a t u r e o f s o l i d)$