The ice and steam points of mercury-in-glass thermometer of centigrade scale and of uniform bore correspond respectively to 3cm and 19cm lengths…

JAMB 1981

The ice and steam points of mercury-in-glass thermometer of centigrade scale and of uniform bore correspond respectively to 3cm and 19cm lengths of the mercury thread when the length is 12cm, the temperature is

A. 32°C

B. 48°C

C. 56°C

D. 65°C

E. 75°C

Correct Answer: Option C

Explanation

From the question, we can derive that steam point(100°) = 19cm, ice point(0°) = 3cm. Now the question is 12cm represents what temperature. I’ll call that temperature C, for crane.Therefore:

100°—19cm

C°—12cm

0°—3cm

C-0°/100-C = 12-3/19-12

C/100-C = 9/7

Cross multiply

7C = 9(100-C)

16C = 900

C = 56.25

C = 56°C

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