# GATE (TF) Textile 2011 Question Paper Solution | GATE/2011/TF/01

###### Question 01 (Textile Engineering & Fibre Science)

Density of cotton fibre is approximately

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### How do you find the density of fibre?

To find the density of a fiber, you need to know its mass and volume. Here’s how you can do it:
Measure the mass of the fiber using a balance or scale. Record the measurement in grams (g).
Find the volume of the fiber. If the fiber has a regular shape, such as a cylinder or a rectangular prism, you can use the appropriate formula to calculate its volume. If the fiber is irregularly shaped, you can use the displacement method to find its volume. To do this, fill a graduated cylinder or a beaker with a known amount of liquid, then carefully place the fiber in the liquid. The volume of the fiber is equal to the difference between the initial volume of the liquid and the volume of the liquid with the fiber submerged. Record the measurement in cubic centimeters (cm³).
Divide the mass of the fiber by its volume to find the density. The formula for density is:
Density = mass / volume
Make sure that the units of mass and volume are consistent. The density of the fiber will be expressed in grams per cubic centimeter (g/cm³).