List of top Questions asked in GATE TF

One kg bone-dry cotton fabric is padded with water to obtain 80 % wet pick up. The temperature of the wet fabric after padding is 30 °C. Assume the specific heat of water to be 1 cal/(g.°C); the latent heat of evaporation of water to be 540 cal/g and the specific heat of cotton to be 0.3 cal/(g.°C). The energy (kcal) required to dry the fabric completely (in integer) is____
The three eigenvalues of the matrix \[ \begin{pmatrix} -2 & X & -3 \\ 2 & 1 & -6 \\ -1 & -2 & y \end{pmatrix} \] are \(\lambda_1 = 5\) and \(\lambda_2 = \lambda_3 = -3\). The value of \(X\) is _______.
A 59.05 Ne cotton yarn, a 20 tex polyester/cotton blended yarn and a 90 denier polyester filament are twisted together to obtain a 3-ply yarn. Assuming there is no twist contraction, the resultant count (Ne) of the 3-ply yarn (rounded off to 2 decimal places) is____
A continuous random variable \(X\) has the following probability density function:\[ f(x) = \begin{cases} kx^2(1 - x^3), & 0 \leq x \leq 1 \\0, & \text{elsewhere}\end{cases} \]If the mean of \(X\) is 0.64, then the value of \(k\) (rounded off to 2 decimal places) is ________________.
A cotton yarn of 20 tex count is replaced by a polyester yarn such that both the yarns have the same diameter and the same packing density. Assuming densities of cotton and polyester fibres as 1.52 g/cm\(^3\) and 1.38 g/cm\(^3\), respectively, the count (tex) of the polyester yarn (rounded off to 2 decimal places) is ________________.
A fluorocarbon-based soil release finish consists of alternating hydrophobic blocks and hydrophilic blocks arranged side by side on fabric surface. The correct statement(s) amongst the following is/are
A knitted fabric is prepared from a yarn of 15 tex count. The fabric has 16 courses/cm, 17 wales/cm and 2.6 mm loop length. The areal density (g/m\(^2\)) of the fabric (rounded off to the nearest integer) is ________________.
If \( g(x) \) is a continuous function such that\[ \int_{a}^{b} g(x) \, dx = \beta \]then the correct statement(s), amongst the following, is/are:
With reference to the principles of yarn hairiness measurement, the correct statement(s), amongst the following, is/are
Amongst the following, the chemical used for bleaching of cotton fabric in acidic medium is
Amongst the following, the correct condition(s) that will reduce bumping during weaving is/are
Amongst the following, the nitrogen containing fibre(s) is/are
An evenness tester, working on capacitance principle, provides
In a discharge printing process, two dyes of different colours, one with high dischargeability (HD) and another with low dischargeability (LD), are to be considered. The correct statement regarding the selection of dyes is
With reference to Shirley stiffness tester, the relationship between the fabric bending length (C) and the overhanging length (L) at the standard angle of deflection of 41.5° is approximately
Amongst the following fibre forming polymers, the one which is synthesised by chain growth polymerisation is
Amongst the following, forward as well as reverse rotary motion in cotton combing is given to
Amongst the following polymers, the one with the lowest glass transition temperature is
The differential equation \( \frac{dy}{dx} = \frac{M(x,y)}{N(x,y)} \) is exact if _______. (
The purpose of opening in blowroom is