GATE XE year:2018 PYQs & Answers — Page 6

Questions 51–60 of 175. Imported answers require independent review unless marked reviewed.

For a two-dimensional solid, the variation of lattice specific heat as a function of temperature T (in K, at low temperatures) is given as:

, where b is a constant. The value of n is __________.

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If the cation (C) to anion (A) radius ratio,

, is 0.6, then the coordination number (i.e., number of A ions surrounding a C ion) is likely to be __________.

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Match the invariant reactions in Column I with the names in Column II (L is liquid phase, and α, β, γ are solid phases). All reactions proceed to the right on cooling.

Column I (P)

(Q)

(R)

(S)

Column II (1) Monotectic (2) Peritectoid (3) Peritectic (4) Eutectoid (5) Eutectic

Your answerChoose one option.

P-5, Q-1, R-4, S-3

P-5, Q-3, R-4, S-2

P-5, Q-1, R-2, S-4

P-2, Q-1, R-4, S-5

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Consider the following anodic (oxidation) reaction in an acidic solution:

If 48250 Coulomb charge is produced during this anodic reaction then the amount of Mg (in g) dissolved into the solution is (Given: Faraday Constant = 96500 C/mole of electrons, Atomic weight of Mg = 24)

Your answerChoose one option.

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An intrinsic semiconductor has conduction electron concentration, n = 10¹² cm⁻³. The mobility of both electrons and holes are identical = 4 × 10⁴ cm² V⁻¹ s⁻¹. If a voltage of 100 V is applied on two parallel end faces of the cube (edge length 1 cm) through Ohmic contacts, the current through the cube would be (in mA) (Given: charge of electron = 1.6 × 10⁻¹⁹ C)

Your answerChoose one option.

640

1280

600

1280

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An infinite plate with a through-thickness crack of length 2 mm is subjected to a tensile stress (as shown in the figure). Assuming the plate to be linear elastic, the fracture stress is __________ MPa (round off to the nearest whole number)

(Given: Fracture toughness,

)

Diagram for Engineering Sciences question 13

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A unidirectionally aligned carbon fibre reinforced epoxy composite is loaded as shown in the figure. The volume fraction of the fibre is 0.6. The Young’s modulus of the composite is __________ GPa.

(Given: Young’s Modulus of the fibre and the matrix are 200 GPa and 10 GPa, respectively)

Diagram for Engineering Sciences question 14

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A sintered sample was weighed in air and water using an analytical balance. The mass of the sample in air is 2.67 g and its apparent mass in water is 1.67 g. The density of the sample is __________ g cm⁻³ (give answer up to 2 decimal places)

(Given: Density of water = 1.00 g cm⁻³)

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The atoms in a gas laser have two energy levels such that a transition from the higher to the lower level releases a photon of wavelength 500 nm. If 7 × 10²⁰ atoms are pumped into the upper level with 4 × 10²⁰ atoms in the lower level, the amount of energy released in a single pulse is __________ Joules (give answer up to 2 decimal places)

(Given: Planck’s constant, h = 6.6 × 10⁻³⁴ J s; speed of light, c = 3 × 10⁸ m s⁻¹)

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The speed of an electron is measured to be 300 m s⁻¹ with an uncertainty of 0.01%. The fundamental accuracy with which the position of the electron can be determined simultaneously with the speed in the same experiment is __________ mm (give answer up to 2 decimal places)

(Given: Planck’s constant, h = 6.6 × 10⁻³⁴ J s; mass of electron = 9.1 × 10⁻³¹ kg)

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GATE XE year:2018 PYQs

Question 8

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Question 11

Question 12

Question 13

Question 14

Question 15

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Question 17