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Question
An iron plate has a circular hole of a diameter 11 cm. Find the diameter of the hole when the plate is uniformly heated from 10° C to 90° C.`[alpha = 12 xx 10^-6//°"C"]`
Options
11.1056 cm
11.01056 cm
11.56 cm
11.156 cm
MCQ
Solution
11.01056 cm
Explanation:
When a metallic body with a diameter hole is heated, the size of the bole expands.
Final diameter,
`"d"_2 = "d"_1 [1 + alpha ("t"_2 - "t"_1)] = 11 [1 + 12 xx 10^-6 (90 - 10)]`
`therefore "d"_2 = 11.01056 "cm"`
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Thermal Expansion
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