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**Dimension Of Viscosity:** Viscosity to resist the inner flow of liquid. Slower fluid has higher internal resistance. this can be because of the strong intermolecular forces. Therefore, the viscosity size of the liquid of those types is incredibly noticeable and holds a high Viscosity. The magnitude of the viscosity in physics is believed to live the inner frictional force that emerges between adjacent, moving layers of liquid. as an example, when fluid is forced through a tube, it flows faster along the axis of the tube than near its walls. this is often thanks to weak intermolecular forces. Therefore, they need low viscosity or low viscous.

**Working Of Viscosity:**

Dimension of Viscosity to face up to the interior flow of liquid. Smooth fluid has high internal resistance. this is often thanks to the strong intermolecular potential. Therefore, the viscosity size of the liquid of those types is extremely noticeable and carries a high Viscosity. The magnitude of the viscosity in physics is believed to live the inner cohesive forces that occur between adjacent, moving layers of liquid. as an example, when fluid is forced through a tube, it flows faster along the axis of the tube than near its walls. this can be thanks to the weak intermolecular forces. Therefore, they need low viscosity or low viscous.

**f ∝ A (dv / dx)**

**f = η A (dv / dx)**

When η is the same, the so-called **coefficient of viscosity**, and therefore the ‘dv / dx’ velocity gradient. If A = 1 cm sq, dx = 1, dv = 1 cm / sec, then f = η. The coefficient of viscosity can therefore be defined because the force of friction required to keep up a velocity difference of 1 cm/second between two parallel layers, with a spacing of 1 cm and every having a spacing of 1 cm sq.

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**Dimensional Formula for Viscosity:**

Viscosity size formula (η) is provided by,

**M ^{1} L^{-1} T^{-1}**

There,

M = Mass

L = Length

T = Time

**Viscosity ****Derivation: **

**Viscosity = Tangential Force × Distance between layers × [Location × Speed] ^{-1} . . . . . (1)**

**∵ Tangential Force = M × a = M × [L T ^{-2}]**

**∴ Tangential Force Size Formula = M ^{1} L^{1} T^{-2}. . . . (2)**

**Also, area size and speed = M ^{0} L² T^{0} and M^{0} L^{1} T^{-1} . . . . (3)**

In changing equation (2) and (3) in equation (1) we discover,

**Viscosity = Force × [Location × Velocity] -1 × Distance between layers**

**Or, η = [M ^{0} L² T^{0}] × [M^{1} L^{1} T^{-2}] -1 × [M^{0} L^{-1} T^{-1} ] ^{-1} × [M^{0 }L1 T^{0}] = [M^{1} L^{-1} T^{-1} ].**

Therefore, the viscosity is equally represented as [M** ^{1} ** L

**T**

^{-1}**].**

^{-1}**Unit Of Viscosity:**

As we all know this, the dimensional unit of viscosity says,

** η = f .dx / A .dv**

**Therefore, η = dynes × cm / cm² × cm / sec.**

Therefore, we will write,

η = dynes cm² sec or viscosity units, dynes sec 2 cm.

This number is understood as 1 Poise.

**f = mx a**

**η = (m × a × dx) (A.dv)**

**Thus, η = g cm ^{-1} s^{-1} **

**Therefore, η = 1 stop**

**In S.I. Units, η = f .dx / A .dv**

**= (N × m) (m² × ms ^{-1} )**

So we are able to write, η = N m** ^{-2} **or Pas

1 Standing = 1 g cm** ^{-1} **s

**= 0.1 kg m**

^{-1}**s**

^{-1}

^{-1}**Viscosity Applications:**

Although viscosity seems to be important in existence, it can actually be important in many alternative fields. Let’s discuss some applications for dimension of viscosity in the standard of living.

**Greasing In Cars:**

When refuelling a truck or a car, we should always take care of its viscosity. Because viscosity affects friction and friction, it also affects temperature. additionally, it also affects the amount of fuel consumption and also the ease with which our car will start in hot or cold conditions.

**Cooking**:

Viscosity plays a crucial role in the preparation and serving of food. vegetable oil might not change the viscosity because it heats up, while many become very viscous because it cools. Oils with a viscous medium when heated are firmer when cooled.

**Medicine:**

Viscosity is important in medicine because the fluid is introduced into the body through a vein. Blood viscosity may be a major problem: insufficient blood won’t clot, and an excessive amount of thinner blood can cause dangerous internal clots; it can cause dangerous blood loss and even death sometimes.

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**Appropriateness of Learning the Viscosity Size of IIT JEE**

Dimensions of Viscosity is a noteworthy topic and is one of the key topics within the competitive IIT JEE trials. It has to be understood by students before they fight questions on this subject. The dimensional viscosity formula also must be known in order that the issues that include it will be easily solved. Units, output are also important. IIT JEE may be a challenging test that only the foremost intelligent and hard-working students can break. Reading all the articles carefully will benefit students before they sit all the way down to a significant test.

**FAQs**

##### Explain the rationale for viscosity in Fluid?

In simple terms, the viscosity of any variety of fluid is its natural anti-flow nature. All liquids are composed of certain styles of particles like molecules and atoms that are joined together by forces within an indoor force. Now the degree to which this viscous force is ready to face up to any fluctuations caused by a liquid because of any external force, or perhaps because of the flow of fluid, is noted because of the viscosity of that liquid. within the solid particles, the particles are tightly bound because the intermediate particles are very strong, whereas, within the liquid, the energy is weak, and similarly within the gases, very weak.

##### Explain the employment of viscosity in everyday life?

Viscosity is extremely important in existence. it's employed in car lubricants, in cooking oils utilized by humans, in medicine when talking about blood.