Heat and Thermal ExpansionHard

Question

At 4oC, 0.98 of the  volume of a body in immersed in water. The temperature at which the entire body gets immersed in water is (neglect the expansion of the body) (γw = 3.3 ×  10-4K-1) : -

Options

A.40.8oC
B.64.6oC
C.60.6oC
D.58.8oC

Solution

Let at temperature , volume increase by 2% then according to question
100 = 98[1+ 3.3 × 10 (θ - 4)]
⇒ θ = 60.4 + 4 = 64.4 oC

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