Question

Torricelli?? barometer used mercury but Pascal duplicated it using French wine of density $984 \,kg \,m^{-3}$ . In that case, the height of the wine column for normal atmospheric pressure is (Take the density of mercury $= 13.6 \times 10^{3} \,kg\, m^{-3}$ )

• A. $5.5 \, m$
• B. $10.5 \,m$
• C. $9.8 \, m$
• D. $15 \, m$

Answer 1

Answer: (B)

$10.5 \,m$

Answer 2

As $P =h \rho g$ Height of mercury column in Torricelli ?? barometer $=0.76 \, m$ of Hg, $\rho_{\text{mercury}}=13.6 \times10^{3}\, kg\, m^{-3}$ , $\rho_{\text{french wine}}=984 \, kg \, m^{-3}$ or $0.76\times\left(13.6\times10^{3}\right)\times9.8=h \times984 \times9.8$ or $h=\frac{0.76\times13.6\times10^{3}\times9.8}{984\times9.8}$ $=10.5\,m$