Properties Of Matter Ques 9
- If the density of air is $\rho_a$ and that of the liquid $\rho_l$, then for a given piston speed the rate (volume per unit time) at which the liquid is sprayed will be proportional to
(a) $\sqrt{\frac{\rho_a}{\rho_1}}$
(b) $\sqrt{\rho_a \rho_l}$
(c) $\sqrt{\frac{\rho_l}{\rho_a}}$
(d) $\rho_J$
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Answer:
Correct Answer: 9.( a )
Solution:
$\begin{aligned} p_1-p_2 & =\frac{1}{2} \rho_a v_a^2 \Rightarrow p_3-p_2=\frac{1}{2} \rho_l v_I^2 \\ p_3 & =p_1 \\ \therefore \quad \frac{1}{2} \rho_l v_l^2 & =\frac{1}{2} \rho_a v_a^2 \Rightarrow v_l=\sqrt{\frac{\rho_a}{\rho_I}} v_a\end{aligned}$
BETA
