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Q.

The reading of air thermometer at $0^{0} C a n d 100^{0} C a r e 50 c m a n d 75 c m$ of mercury column respectively. The temperature at which its reading is 80 cm of mercury column is

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a

$105^{0} C$

b

$110^{0} C$

c

$115^{0} C$

d

$120^{0} C$

answer is D.

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Detailed Solution

$L . F . P = 0^{0} C l_{1} = 50 c m U . F . P = 100^{0} C l_{2} = 75 c m \frac{x - 0}{100 - 0} = \frac{l - 50}{75 - 50} \frac{x}{100} = \frac{l - 50}{25} g i v e n l = 80 c m \frac{x}{100} = \frac{80 - 50}{25} ∴ x = 100 \times \frac{30}{25} = 120^{0} C$

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