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QUESTION: 1

The pressure of 1 atm = ______ Pa

Solution:

Pressure of 1 atm = **1.013 x 10 ^{5} Pa**

QUESTION: 2

Which of the following is not an application of Pascal’s Law?

Solution:

**Pascal's law** states that the magnitude of pressure within the fluid is equal in all parts.

**Option A: Brahma's press** is a Hydraulic Press that works on the principle of Pascal's law.

**Option B: Submarines** don't work on the principle of Pascal's law.

**Option C: Hydraulic lifts** works on the principle of pascals law **i.e. **a force applied on a smaller cylinder is transmitted to lift heavy loads using larger cylinders.

**Hence, option B is correct.**

QUESTION: 3

In a car lift, compressed air exerts a force F_{1} on a small piston having a radius of 5cm. This pressure is transmitted to the second piston of a radius of 15cm. If the mass of the car to be lifted is 1350 kg. What is F_{1}?

Solution:

__From Pascal’s law:__ P_{1 }= P_{2}

⇒ F_{1}/A_{1 }= F_{2}/A_{2}

⇒ F_{1}/πr_{1}^{2} = F_{2}/πr_{2}^{2 }

⇒ F_{1} = (F_{2 }* r_{1}^{2} ) / r_{2}^{2 }= 1350 * 9.8 * (5 * 10^{-2})^{2} / (15 * 10^{-2})^{2} = 1470 N = **1.47 * 10 ^{3 }N**

QUESTION: 4

What is torr?

Solution:

The **torr **is a unit of pressure based on an absolute scale, defined as exactly **1/760 **of a standard atmosphere.

It is equivalent to **1 mm** of mercury in a **barometer** and equal to **133.32 pascals**.

QUESTION: 5

The formula used to find the pressure on a swimmer h meters below the surface of a lake is: (where P_{a} is the atmospheric pressure)

Solution:

We know that the pressure at some point inside the water can be represented by: **P _{a} + ρhg**

where,

ρ =

P

H =

g =

QUESTION: 6

The pressure at the bottom of a tank containing a liquid does not depend on:

Solution:

Pressure at the bottom of a tank containing liquid is given as** P = hρg** which is **independent of the surface area** bottom of the tank.

QUESTION: 7

Find the density when a liquid 5 m high in a column exerts a pressure of 80 Pa.

Solution:

► Pressure = Density x Gravity x Height = ρgh

⇒ ρ = P/(g*h) = 80 Pa / (9.8 m/s^{2} x 5 m)

⇒ **Density = 1.632 kg/m ^{3}**

QUESTION: 8

Two vessels with equal base and unequal height have water filled to the same height. The force at the base of the vessels is:

Solution:

Force at the bases of two vessels will be equal as force depends on** height** and **area**. Since it is the same here, **force is equal**.

QUESTION: 9

Which of the following devices in not based on Pascal’s law?

Solution:

**Atomizers**work on the principle of airflow and suction i.e. on**Bernoulli's principle**and not on Pascal's law.- On the other hand, Syringe, hydraulic brakes and hydraulic lift work on the principle of
**Pascal's law**.

QUESTION: 10

The pressure measured by a gauge is:

Solution:

**Gauge pressure **is the pressure relative to **atmospheric pressure**. Gauge pressure is positive for pressures above atmospheric pressure and negative for pressures below it.

**P _{abs }= P_{g }+ P_{atm}**

P_{g }= P_{abs }- P_{atm}

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