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## The pressure at the bottom of a liquid tank is not proportional to the?

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Question

## The pressure at the bottom of a liquid tank is not proportional to the?

**A**

## Acceleration due to gravity

**B**

## Density of the liquid

**C**

## Height of the liquid

**D**

## Area of the liquid surface

Medium Open in App

Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is D)

Pressure is a force per unit area. Pressure in liquid increases with depth. Also it depend on the bottom surface area ,where the bottom surface area is smaller than the top it will have higher pressure than wide bottom. This shows that pressure of a given place in inversely proportional to the area , pressure in the bottom of the tank does not depend factors such as the material of the tank.

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## [Solved] The pressure at the bottom of a liquid tank is not proportio

CONCEPT: The force per unit area is called pressure. The liquid above the surface of the container applies the pressure on the bottom surface. This pressure

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## Question

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## The pressure at the bottom of a liquid tank is **not** proportional to the

Acceleration due to gravity

Density of the liquid

Height of the liquid

Area of the liquid surface

## Answer (Detailed Solution Below)

Option 4 : Area of the liquid surface

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## Detailed Solution

Download Solution PDF

**CONCEPT:**

The force per unit area is called **pressure**.

The liquid above the surface of the container applies the pressure on the bottom surface. This pressure is called **fluid pressure**.

The fluid pressure at a depth h is given by:

**⇒ Pressure (P)**= ρ g h

Where ρ is density of the fluid, g is acceleration due to gravity and h is height of the fluid above the surface of earth

**EXPLANATION:**

According to the formula of the fluid pressure;

⇒ **Pressure (P)** = ρ g h

Pressure on the surface only **depends on density of fluid, acceleration due to gravity and the height of the fluid**. So options 1, 2 and 3 are wrong

The **pressure is independent of area of the liquid surface**. So option 4 is correct.

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## The pressure at the bottom of a liquid tank is not proportional to the

The pressure at the bottom of a liquid tank is, P=P("atm")+rhogh where, P("atm") = atmospheric pressure rho = density of the liquid g = acceleration due to gravity h = height of the liquid Thus, it is independent of the area of the liquid surface.

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The pressure at the bottom of ...

The pressure at the bottom of a liquid tank is not proportional to the

Updated On: 27-06-2022

( 00 : 22 ) ADVERTISEMENT Text Solution Open Answer in App A

acceleration due to gravity

B

density of the liquid

C

height of the liquid

D

area of the liquid surface.

Answer

The correct Answer is D

Solution

The pressure at the bottom of a liquid tank is, `P=P_("atm")+rhogh`

where,

`P_("atm")` = atmospheric pressure

`rho` = density of the liquid

g = acceleration due to gravity

h = height of the liquid

Thus, it is independent of the area of the liquid surface.

Answer

Step by step solution by experts to help you in doubt clearance & scoring excellent marks in exams.

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