Engineering Sciences
GATE XE topic:applied-science PYQs
Build your understanding with focused practice from past exam papers.
Questions 1471–1480 of 1772. Imported answers require independent review unless marked reviewed.
Question 6
Open questionXE-CMCQ1 markNeeds review
The number of vibrational degrees of freedom for a non-linear triatomic molecule are
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An atom is restricted to move in one dimension by making unit jumps either to the left or right, as shown in the figure. Assuming that a jump to the left or right is equally probable, the probability of the atom returning back to the start point after four jumps is
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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 __________.Log in to check the answer
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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 __________.Log in to check the answer
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Open questionXE-CMCQ2 marksNeeds review
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
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Open questionXE-CMCQ2 marksNeeds review
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)
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Open questionXE-CMCQ2 marksNeeds review
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)
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Open questionXE-CNAT2 marksNeeds review
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,
) 
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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)
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Open questionXE-CNAT2 marksNeeds review
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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