List of top Questions asked in GATE TF

Determine the correctness or otherwise of the following Assertion [p] and Reason [r].
[p]: The melting temperature of polyester (PET) fibres is higher than that of Nylon 6 fibres
[r]: The hydrogen bonding in PET is stronger than that in Nylon 6
For a textile industry, the revenue of selling \( x \) tons of yarn is \( R(x) = 4x \) and the cost of producing \( x \) tons of yarn is \( C(x) = 10 + 2x + 3x^{2/3} \). The industry decided to calculate the break-even (when revenue is equal to the cost) for \( x \) tons of yarn using the Newton-Raphson method. Assuming the initial break-even of 8 tons, the break-even (in tons) after the first iteration is:
A fibre of length \( l \) is to be divided into two pieces. Multiplying the square of the length of one piece with the cube of the length of the other piece yields the greatest possible product value. Amongst the following, the correct combination of the lengths is:
The twist in a 36 Ne cotton yarn is 15 tpi. The twist multiplier (TM) in cotton system of the yarn (correct to 1 decimal place) is _________.
A woven fabric has weft yarn of 24 tex and pick density of 25 per cm. It is desired to replace only the weft with a 6 tex yarn of the same packing density. The pick density per cm required to keep the fabric cover the same (answer in integer) is _________.
A blowroom line has three beaters, each having a trash removal efficiency (cleaning index) of 30%. The trash removal efficiency (%) of the blowroom line (rounded off to 1 decimal place) is _________
In the first heating cycle of a differential scanning calorimetry (DSC) experiment, an as-spun Nylon 6 fibre showed an enthalpy change of 40 J/g during cold crystallization and an enthalpy change of 150 J/g during melting. If the heat of fusion of 100% crystalline Nylon 6 is 240 J/g, the percentage degree of crystallinity of as-spun Nylon 6 fibre (rounded off to 1 decimal place) is _________
The diameter of a fibre is assumed to be a continuous random variable \( X \) with probability density function \[ f(x) = 6x(1 - x), \quad 0<x \leq 1 \] If \( P(X<\beta) = P(X>\beta) \), then the value of \( \beta \) (rounded off to 1 decimal place) is _________.
Consider the partial differential equation: \[ \frac{\partial^2 u}{\partial x^2} = \frac{1}{k} \frac{\partial u}{\partial t} + \sin x, \quad k>0 \] Amongst the following, the correct statement(s) for the above equation is/are:
Amongst the following, the chromophore(s) is/are:
The parameter(s) required to convert load-elongation curve to stress-strain curve of a yarn is/are:
Cone winding machines equipped with electronic yarn clearers remove the following defect(s) from the spun yarn:
Amongst the following interface(s) in a carding machine, carding action takes place in:
Amongst the following, the exothermic transition(s) is/are:
High drape coefficient of fabric indicates:
In fibrograph, 2.5% span length (l) means:
Amongst the following, the component which is NOT a part of single-bed warp knitting machine, is:
Profile reed is used in:
The purpose of top comb in a cotton comber is:
The fibre forming polymer which contains aromatic group in the main chain is:
The fibre which does NOT contain 1,4-glycosidic bonds is
In a water vapour transmission test of a fabric by evaporative dish method, the initial mass of the dish is 198 g. After 20 h of test, the mass of the dish becomes 188 g. The inner and outer diameters of the dish are 6.5 cm and 6.9 cm, respectively. The water vapour transmission rate (g/m\(^2\)/h) of the fabric is:
In a tensile test, a 50 tex yarn specimen of 500 cm length extends by 10% at 600 cN. The length of the yarn after the removal of the load is 525 cm. The elastic recovery (%) of the yarn is:
A series of plain knitted fabrics has varying stitch length (\( \ell \)). The fabrics are composed of cotton yarns having same packing density but differing in linear density (\( T \)). The ratio between tightness factor and areal density of the fabrics is proportional to
Amongst the following, the correct sequence of drives from main shaft to bobbins in a roving frame is