13. When a liquid in a glass vessel is heated, its apparent expansion is 10.30-10. When the
samne liquid is heated in a metal vessel, its apparent expansion is 10.00-10 The coefficient
of linear expansion of glass=9x10c. Then the coefficient of linear expansion of metals
a) 51x10"/ b) 3, 106 1 20-10"" d) 17x10 /
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Answer:
ol : Here, γag = 10.30 × 10-4/°C
γam = 10.06 × 10-4/°C
αg=9×10-6/°C , αm = ?
Now, γr = γag + γg = γam + γm
γr = 10.30 × 10-4 + 3 × 9 × 10-6 = 10.06 × 10-4 + γm
γm = (10.30 + 0.27 – 10.06 ) 10-4
γm = 0.51 × 10-4
αm = γm/3 = 0.51 × 10-4/3
αm = 0.17 × 10-4/°C
αm = 17 × 10-6/°C
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