Start Free Mock LoginAlready registered? Login here

Physics - Fluid Question with Solution | TestHub

PhysicsFluidPressureEasy2 minPYQ_2020

PhysicsEasysingle choice

The neck and bottom of a bottle are $3 cm$ and $15 cm$ in radius respectively. If the cork is pressed with a force $12 N$ in the neck of the bottle, then force exerted on the bottom of the bottle is

Options:

Answer:

Solution:

Pressure at neck of bottle

$p_{1} = \frac{F_{1}}{A_{1}} = \frac{F_{1}}{{π r}_{1}^{2}}$

Similarly, pressure at bottom of bottle

$p_{2} = \frac{F_{2}}{A_{2}} = \frac{F_{2}}{{π r}_{2}^{2}}$

According to Pascal's law, liquids transmits pressure equal in all directions.

$∴$ $\frac{F_{2}}{A_{2}} = \frac{F_{2}}{{π r}_{2}^{2}} o r F_{2} = F_{1} \times {(\frac{r_{2}}{r_{1}})}^{2}$

$= 12 \times {(\frac{15}{3})}^{2} = 12 \times 25 = 300 N$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:FluidSubtopic:Pressure

⏱ 2mℹ️ Source: PYQ_2020

Doubts & Discussion

Loading discussions...