List of top Questions asked in GATE TF

Consider the following activities on a carding machine:
P. Lowering surface speed of feed roller
Q. Increasing rotational speed of taker-in
R. Increasing linear density of feed material
S. Use of shorter and finer fibres
The correct combination of the above activities to obtain more number of taker-in teeth acting per fibre is ____________________.
In flame retardant finishing of cotton fabric, the correct statement(s) is/are
The Newton-Raphson method is being used for two iterations to find an approximate solution of the equation \( e^x - 1 = 0 \) with an initial guess of 1. The difference between the actual and approximate solutions (rounded off to 2 decimal places) is ____________________.
The area under the curve \( y = x^2 + 2x \) between \( x = 0 \) and \( x = 4 \), using the trapezoidal rule with a step size of one, (in integer) is ____________________.
A PET sample with 40% crystallinity shows only a melting endotherm in the first heating cycle of DSC with a melting enthalpy of 50 J/g. The degree of crystallinity (%) of another PET sample which also shows only a melting endotherm but with a melting enthalpy of 80 J/g is (in integer) ____________________.
If the twist multiplier in the indirect system is 4.8 tpi/Ne\(^{0.5}\), then the twist factor in the direct system (tpm tex\(^{0.5}\)) (rounded off to 2 decimal places) is ____________________
A plain woven fabric with 20 ends per cm and 30 picks per cm is prepared with 30 tex warp yarns and 25 tex weft yarns. Neglecting yarn crimp, the areal density (g/m\(^2\)) of the fabric (in integer) is:
A ring spun yarn with mean linear density of 32 tex is produced from 2 denier polyester staple fibre. If the standard deviation of the yarn linear density is 3.2 tex, then the index of irregularity of the yarn (up to 1 decimal place) is:
In resist style of printing, the preferred arrangement for dyeing is:
If twist factor is same for a set of cotton yarns, then the yarns have the same:
Copolymers are present in
Amongst the following weft knitted structures, double jersey structure(s) is/are
For the same turns per unit length, as the yarn becomes coarser
The bonding process followed for production of highloft nonwoven is
A drum-driven winder is fitted with a 3-diamond drum. The number of revolutions of the drum for single traverse is ____________________.
The cut length of a staple polyester fibre is approximately equal to the effective length of a specific variety of long staple cotton fibre. When these two types of fibres are blended in nearly equal proportion, the typical comb sorter diagram of the blended fibre-tuft is ____________________.
During the measurement of cotton fibre fineness (micronaire) by air flow method, a higher quantity of cotton fibre is taken by mistake than specified. The reading of micronaire value from the instrument will be:
Amongst the following, hydrolytic desizing agents attack starch at:
The probability of the standard normal variable taking values between 0 and 1 is 0.3413, between 0 and 2 is 0.4772, and between 0 and 3 is 0.4987. The average of marks in an examination is 68 and the standard deviation is 10. The percentage of examinees getting less than 48 marks is:
The amide linkage is NOT present in:
In the amorphous phase, polymer chains prefer to be in a random coil conformation to
The spinning system that inserts false twist is
In a bobbin leading roving frame, the correct relationship between spindle speed and bobbin speed is
The value of \( x \) for which the inverse of the following matrix does not exist is \[ \begin{bmatrix} 1 & 3 & 0 \\ 2 & x & 4 \\ -1 & 0 & 2 \end{bmatrix} \]
The value of \( y \) for which the following limit exists is \[ \lim_{x \to 1} \frac{2x^2 - yx - x + 3}{3x^2 - 5x + 2} \]