A mercury barometer reads h mm Hg with the temperature of the mercury at T C. The barometer reading corrected for the standard temperature 0 C with andbeta; denoting the volumetricThe expansion coefficient of mercury in 0 Candndash; 1 isa)b)h(andbeta; + T)c)h(1 +andbeta;T)d)h(andbeta; - T)Correct answer is option 'A'. Can you explain this answer?

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A mercury barometer reads h mm Hg with the temperature of the mercury at T C. The barometer reading corrected for the standard temperature 0 C with β denoting the volumetric

The expansion coefficient of mercury in 0 C^{– 1} is

a)
b)
h(β + T)
c)
h(1 + βT)
d)
h(β - T)

Correct answer is option 'A'. Can you explain this answer?

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A mercury barometer reads h mm Hg with the temperature of the mercury ...

V(T) = V(1 + T) where V(T) is a function of volume as a function of temperature.

Since cross-section area is constant , therefore

ah = V(1 + β T)

Putting V as ah’ , we get

h = h’(1 + β T)

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A mercury barometer reads h mm Hg with the temperature of the mercury at T C. The barometer reading corrected for the standard temperature 0 C with β denoting the volumetricThe expansion coefficient of mercury in 0 C– 1 isa)b)h(β + T)c)h(1 +βT)d)h(β - T)Correct answer is option 'A'. Can you explain this answer?

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