Brass scale of a Barometer gives correct reading at 0 - C - coefficient of linear expansion of brass is 18 - 10 - 6 - - 6 C - If the barometer reads 76 cm at 20 - C - the correct reading is - Hg - 18 - 10 - 5 - 0 C

The correct option is C 76.2736 cm L_0=75 cm [ a=18× 10^ 6 /^ 0 C; Δ T=20 0= 27^ 0 C ] We know that the formula for the coefficient of linea ...

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Standard XII

Physics

Atmospheric Pressure

Brass scale o...

Question

Brass scale of a Barometer gives correct reading at $0^{\circ} C .$ coefficient of linear expansion of brass is $18 \times 10^{- 6} /^{- 6} C .$ If the barometer reads $76 c m$ at $20^{\circ} C,$ the correct reading is $(γ_{H g} = 18 \times 10^{- 5} / 0 C)$

76.426 c m

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75.7 c m

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76.2736 c m

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76.264 c m

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Solution

The correct option is C $76.2736 c m$
$L_{0} = 75$ cm
$\begin{matrix} a = 18 \times 10^{- 6} /^{0} C Δ T = 20 - 0 = 27^{0} C \end{matrix}$
We know that the formula for the coefficient of linear expansion
$\begin{matrix} L = L_{0} (1 + α Δ T) L = 76 (1 + 18 \times 10^{- 6} \times 20) = 76 (1 + 0.00036) = 76 \times 1.00036 = 76.2736 \end{matrix}$
Atmospheric pressure at $20^{0} C$ is $76.2736$ cm of brass.

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Brass scale of a Barometer gives correct reading at 0∘C. coefficient of linear expansion of brass is 18×10−6/−6C. If the barometer reads 76cm at 20∘C, the correct reading is (γHg=18×10−5/0C)

The correct option is C 76.2736cmL0=75cma=18×10−6/0CΔT=20−0=270CWe know that the formula for the coefficient of linear expansionL=L0(1+αΔT)L=76(1+18×10−6×20)=76(1+0.00036)=76×1.00036=76.2736Atmospheric pressure at 200C is 76.2736 cm of brass.

Brass scale of a Barometer gives correct reading at $0^{\circ} C .$ coefficient of linear expansion of brass is $18 \times 10^{- 6} /^{- 6} C .$ If the barometer reads $76 c m$ at $20^{\circ} C,$ the correct reading is $(γ_{H g} = 18 \times 10^{- 5} / 0 C)$