A hole of diameter 5 cm is drilled in a metal sheet at 30 ° C . The linear expansion of metal is 2 × 10 - 5 K - 1 . The diameter of the hole when the temperature is raised to 230 ° C , is equal to

Question

A hole of diameter 5 cm is drilled in a metal sheet at 30 ° C . The linear expansion of metal is 2 × 10 - 5 K - 1 . The diameter of the hole when the temperature is raised to 230 ° C , is equal to, 5 . 01 cm, 5 . 02 cm, 5 . 03 cm, 5 . 04 cm

MARKS App · Accepted Answer

Change in the temperature is ∆ T = 230 - 30 = 200 ° C . When the sheet is heated it will expand, thermal expansion is given by, L = L 0 1 + α ∆ T ⇒ L = 5 × 1 + 2 × 10 - 5 × 200 = 5 . 02 cm

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