List of top Questions asked in GATE Textile Engineering and Fibre Science

The value of the integral \( \int_{0}^{\infty} \frac{dx}{e^x + e^{-x}} \) is:

Poly(ethylene terephthalate) has a number average molecular weight of 25000. The degree of polymerisation (rounded off to the nearest integer) is ____

A winder operates at 750 m/min with 93% efficiency. The time (in minutes) taken for the winder to wind 1.2 kg of 20 tex yarn is approximately _______.

The approximate value of the integral \( \int_{2}^{3} \frac{dx}{x} \) using Simpson's rule with \( h = 0.5 \) is

A circular weft knitting machine with 24 inch gauge and 20 inch diameter needle bed is used to make a tubular knitted fabric. If the fabric shrinks by 35% in course- wise direction upon withdrawal from the machine, the circumference (inch) of the shrunk tubular fabric is approximately

As the package builds up in a roving frame, the component(s) whose speed DOES NOT remain constant, amongst the following, is/are

Three melt-spun fibre samples A, B and C produced from same polymer under different conditions are found to have densities 1.10 g/cm3, 1.15 g/cm3 and 1.20 g/cm3, respectively. If the mass fraction based degree of crystallinity (xc) of A and C is 0.45 and 0.75, respectively, then xc for B (rounded off to 2 decimal places) is___

A polyester fibre of circular cross-section has density of 1.38 g/cm3 and diameter of 20 μm. The fineness (denier) of the fibre (rounded off to 1 decimal place) is____

A print paste for pigment printing of cotton fabric is prepared by using a synthetic thickener. The suitable chemical, amongst the following, to build the viscosity of the print paste is

The relationship between tensile stress (σ) and tensile strain (ɛ) of a yarn is σ = 1.5√ε If the breaking strain of the yarn is 1.2, the work factor of the yarn (rounded off to 2 decimal places) is____

Two shuttle looms (A and B), running at the same picks per minute, have the same mass of sley and associated system for beat-up. The crank radius (\( r \)) and the eccentricity ratio (\( e \)) of the looms are \( r_A = 10 \, \text{cm} \); \( e_A = 0.5 \); \( r_B = 6 \, \text{cm} \); \( e_B = 0.4 \). The ratio of the beat-up force of loom A to that of loom B (rounded off to 1 decimal place) is ______.

A parallel fibre strand of 30 tex count is coming out from the nip of the front delivery rollers of a ring spinning machine. This strand is given twist to produce a yarn such that the length of the yarn becomes 0.95 times the length of the parallel fibre strand. If 600 turns are present in 1 m length of the yarn, then the twist factor (tpm-tex0.5) of the yarn (rounded off to the nearest integer) is____

A plain woven fabric with square construction, prepared from yarns of 0.2 mm diameter, has a fractional cover of 0.7. The distance (mm) between the two adjacent ends (rounded off to 2 decimal places) is____

A cotton fabric is given crease resist finish with 60 g/L DMDHEU (molecular weight = 178) aqueous solution by continuous method. The density of the padding liquor is 1.1 g/cm3 and the wet pick up is 110 %. Assuming that the entire DMDHEU on the fabric is consumed during cross-linking reaction with cellulose, the nitrogen content (%) of the finished fabric (rounded off to 2 decimal places) is ____

A 200 m long bone-dry Nylon fibre with circular cross-section and density of 1.2 g/cm3, absorbs 0.003 g moisture. If the moisture content of the fibre becomes 4 % after moisture absorption, then the diameter (um) of bone-dry Nylon fibre (rounded off to 1 decimal place) is___

A ballistic type impact tester is shown below. The test specimen is connected to the bob of the pendulum of 10 N weight. The pendulum is released from a height of 1 m from the base, and this results in rupture of test specimen. Considering no frictional losses and neglecting the weight of the connecting rod, if the work of rupture of the specimen is 10 N-m, then the total swing angle (degree) that the pendulum makes during its travel (in integer) is

A plied yarn is prepared by twisting two single yarns (A and B). Yarn A has a mean count of 20 tex and a coefficient of variation (CV) of count of 20 %. Yarn B has a mean count of 30 tex and a CV of count of 10%. Neglecting twist contraction during plying, the CV (%) of the count of the plied yarn (in integer) is___

A textile company decides to find the coefficient of correlation (\( r \)) between fibre quality (\( X \)) and yarn quality (\( Y \)). The company randomly selects 10 samples and observes the following:\[\sum X = 50, \quad \sum Y = 40, \quad \sum X^2 = 260, \quad \sum Y^2 = 228, \quad \sum XY = 222, \quad \text{and} \quad r(X, Y) = 0.84.\]If the correct pairs \((X = 4, Y = 11)\) and \((X = 6, Y = 9)\) are taken wrongly as \((X = 6, Y = 15)\) and \((X = 4, Y = 5)\), respectively, then the correct value of \( r(X, Y) \) (rounded off to 2 decimal places) is

Consider the following function:
\[ f(x) = \begin{cases} k, & \text{if } x = 1 \\\frac{\sqrt{3x + 1} - \sqrt{2x + 2}}{x - 1}, & \text{if } x > -\frac{1}{3}, x \neq 1 \end{cases} \]
If \( f(x) \) is continuous at \( x = 1 \), the value of \( k \) (correct up to 2 decimal places) is

Amongst the given options, the condition(s) which will increase the equilibrium wicking height of water in a yarn is/are

With reference to cotton fibre testing systems, the correct statement(s) amongst the following is/are

Amongst the following, the property(ies) of a disperse dye that allow(s) it to be applied on polyester by thermofixation method is/are

Consider the following equilibrium dyeing isotherms for dyeing of polyester with a disperse dye at 100 °C and 120 °C. Amongst the following, the correct statement(s) is/are

Consider the following diagram where an oil droplet is formed on a fabric immersed in water. At equilibrium, the balance of various interfacial forces acting on the droplet is given by the following equation:
\[ \gamma_{FW} = \gamma_{FO} + \gamma_{OW} \cos \theta \]
When a surfactant is added to water, assuming that \(\gamma_{OW}\) and \(\gamma_{FO}\) remain unchanged, the following happens:

Determine the correctness or otherwise of the following Assertion [a] and Reason [r]:
[a]: The variability of fibre diameter in melt-blown nonwoven fabric is remarkably higher than that in spunbond nonwoven fabric 
[r]: Hot air attenuation in melt-blown process is responsible for high variation in fibre diameter