Engineering Sciences
GATE XE topic:engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 1021–1030 of 1772. Imported answers require independent review unless marked reviewed.
Question 15
Open questionXE-FNAT2 marksNeeds review
A single screw extruder is operating at a rotational speed of 2 revolutions per second for the extrusion of a Newtonian polymer under open-discharge conditions (in absence of a die, the pressure drop,
= 0). The extruder has a screw diameter,
= 5 cm, a channel depth,
= 0.4 cm, distance between flights,
= 1 cm, and a helix angle,
= 20°. Assume the value of
= 3.14. The volumetric flow rate (rounded off to 2 decimal places) is ______ cm³/s.Log in to check the answer
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Open questionXE-FNAT2 marksNeeds review
At 215 °C, the viscosity of a polystyrene of molecular weight 250 × 10³ g/mol is 8.0 × 10³ Pa s. The critical molecular weight of polystyrene,
= 35 × 10³ g/mol. For a similar polystyrene of molecular weight 500 × 10³ g/mol, the viscosity (rounded off to nearest integer) will be ______ × 10³ Pa s.Log in to check the answer
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There are two different PTFE polymer specimens of the following density (
) and % crystallinity. For PTFE- specimen-1,
is 2.144 g/cm³ and % crystallinity is 50. For PTFE- specimen-2,
is 2.215 g/cm³ and % crystallinity is 75. Assuming the polymer is pure and defect free, the density (rounded off to 3 decimal places) of 100% amorphous PTFE specimen will be ______ g/cm³.Log in to check the answer
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The behavior of a polymer is described by a Maxwell model consisting of a spring element of modulus 10¹⁰ Pa in series with a dashpot of viscosity 10¹² Pa s. In the solid, 50 s after the sudden application of a fixed strain of 1%, the stress (rounded off to 2 decimal places) will be ______ × 10⁷ Pa.
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A particular free radical polymerization process yields a polymer with a number average degree of polymerization,
= 100. The monomer concentration is doubled and the initiator concentration is increased by four times. Assuming that all rate coefficients and other parameters remain unchanged, the value of
(rounded off to the nearest integer) is ______.Log in to check the answer
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A polymer is synthesized from 2 moles of terephthalic acid (molecular weight of the repeat unit, (-OCC₆H₄CO-), is 132 g/mol), 1 mol of ethylene glycol (molecular weight of the repeat unit, (-OCH₂CH₂O-), is 60 g/mol), and 1 mol of butylene glycol (molecular weight of the repeat unit, (-O(CH₂)₄O-), is 88 g/mol). The reaction is terminated at 99% conversion of the acid. The number averaged molecular weight,
(rounded off to the nearest integer) is ______ g/mol.Log in to check the answer
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A sample of natural rubber (cis-1,4-polyisoprene) is vulcanized such that one of every 240 chain carbon atoms is cross-linked. The formula unit of the isoprene monomer is C₅H₈ (molecular weight = 68 g/mol). The average molecular weight (rounded off to the nearest integer) between cross-links is ______ g/mol.
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A sample of an oriented semi-crystalline polymer is subjected to uniaxial tensile stress,
, in an X-ray diffractometer. The wavelength of X-ray radiation (Cu K
) is
= 1.542 Å. The position of the (002) peak, which was found initially at a Bragg angle of 37.50° at
= 0 MPa shifted to 37.45° at
= 160 MPa. Assuming elastic deformation, the strain (rounded off to three decimal places) in the sample along the direction of applied stress is ______ × 10⁻³.Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 1
Open questionXE-GMCQ1 markNeeds review
In a typical bacterial growth curve, the first order kinetics for growth rate is observed in
Your answerChoose one option.
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Open questionXE-GMCQ1 markNeeds review
Which one of the following microorganism is NOT a causative agent for food borne diseases?
Your answerChoose one option.
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