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AP EAMCET Mock Test - 6 - JEE MCQ


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30 Questions MCQ Test AP EAMCET Mock Test Series - AP EAMCET Mock Test - 6

AP EAMCET Mock Test - 6 for JEE 2024 is part of AP EAMCET Mock Test Series preparation. The AP EAMCET Mock Test - 6 questions and answers have been prepared according to the JEE exam syllabus.The AP EAMCET Mock Test - 6 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for AP EAMCET Mock Test - 6 below.
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AP EAMCET Mock Test - 6 - Question 1
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Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? (The surface tension is T, density of liquid is ρ and L is its latent heat of vaporisation)

Detailed Solution for AP EAMCET Mock Test - 6 - Question 1

Change in the surface energy will be utilised for latent heat of evaporation, if dA is change in the surface area and dm is the mass of volume element.

So, minimum radius of the drop,

AP EAMCET Mock Test - 6 - Question 2
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The refractive index of the crystal material is 1.68, and that of castor oil is 1.2. When a ray of light passes from oil to glass, its velocity will change by a factor

Detailed Solution for AP EAMCET Mock Test - 6 - Question 2
We know, the refractive index of crystal w.r.t. Oil, where, μc = absolute refractive index of crystal w.r.t. Vacuum and μo = absolute refractive index of oil w. r. t, vacuumThe fractionalonal change in velocity, when light travel from oil to crystal = speed in crystal/speed in oil = 5/7.
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AP EAMCET Mock Test - 6 - Question 3
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The dimensions of self or mutual inductance/ are given as

Detailed Solution for AP EAMCET Mock Test - 6 - Question 3
The self or mutual inductance of a coil is the flux change due to change in current, i.e. L or M = ∅/l

So. dimensions of Mutual Inductance or Self-Inductance can be given by

⇒ [L] = [0]/[l]

AP EAMCET Mock Test - 6 - Question 4
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In case of dimension of electric field and electric dipole moment the power of mass is respectively,
Detailed Solution for AP EAMCET Mock Test - 6 - Question 4
Electric field, E = F/q

Where, F = force and q = electric charge

Dimensions of E or [E] = [MLT-2]/[AT] = [MLT-0A-1]

Power of mass = 1

Electric dipole moment, m = l x A

Where, l = current and A = area

Dimensions of m = [M] = [A L2] = [M0L2T0A]

Hence, power of mass = 0

AP EAMCET Mock Test - 6 - Question 5
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The S I unit and dimensions of Stefan's constant σ in case of Stefan's law of radiation is
Detailed Solution for AP EAMCET Mock Test - 6 - Question 5

According to Stefan's law, the energy emitted by a body per unit area per second is proportional to the fourth power of the absolute temperature.

E = σT4where E = energy emitted area/second,

T = absolute temperature in kelvin

and σ = Stefan's constant ⇒ σ = E/T4

Unit of Stefan's constant

⇒ J/m2s/K4 = J/m2sK4Dimensions of Stefan’s constant,

AP EAMCET Mock Test - 6 - Question 6
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Which one of the following statements is correct?
Detailed Solution for AP EAMCET Mock Test - 6 - Question 6
Surface tension is the force applied per unit length or work done (or energy) per unit area of a liquid surface. While surface energy is the amount of work done per unit area by force.
AP EAMCET Mock Test - 6 - Question 7
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The current i in a coil varies with time as shown in the figure. The variation of induced emf with time would be
Detailed Solution for AP EAMCET Mock Test - 6 - Question 7

i-t graph is a straight line with positive constant slope.

∴ di/dt = constant

⇒ e = −ve and constant For

i-t graph is a straight line with negative constant slope.

∴ di/dt = constant

⇒ e = + ve and constant

From this analysis, the variation of induced emf with time as shown in the figure below.

AP EAMCET Mock Test - 6 - Question 8
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When 20 g of naphthoic acid (C11H8O2) is dissolved in 50 g50 g of benzene (kf = 1.72 K kg mol−1), a freezing point depression of 2 K is observed. Calculate the Van't Hoff factor (i) in this case:
Detailed Solution for AP EAMCET Mock Test - 6 - Question 8

Actual molecular weight of naphthoic acid (C11H8O2) = 172
Molecular mass (calculated) 


= 0.5

AP EAMCET Mock Test - 6 - Question 9
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Which of the following is a mineral of Iron & Copper both?
Detailed Solution for AP EAMCET Mock Test - 6 - Question 9

Galena is a lead sulfide mineral with a chemical composition of PbS. 

Haematite, is a common ore of iron with the formula Fe2O3 and is widely found in rocks and soils.

Siderite is a mineral composed of iron (II) carbonate FeCO3 .

Chalcopyrite is a yellow mineral of iron and copper with a chemical composition of CuFeS2

AP EAMCET Mock Test - 6 - Question 10
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For a hypothetical reaction A → B, the activation energy for forward and backward reactions are 19 kJ/mol and 9 kJ/mol respectively. The heat of reaction is
Detailed Solution for AP EAMCET Mock Test - 6 - Question 10

AP EAMCET Mock Test - 6 - Question 11
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The most suitable reagent for the following conversion, is:
Detailed Solution for AP EAMCET Mock Test - 6 - Question 11

(i) Na/ Liquid NH3 (Birch reduction) it reduces non-terminal alkynes into alkene (trans/anti addition)
(ii) H2/Pd−C, quinoline (lindlar catalyst) reduces alkyne into alkene by syn addition. This will give the required product.
(iii) Zn/HCl is Clemmensen reduction which reduced carbonyl into an alkene.
(iv) Hg+2/H⊕, H2O is an electrophilic addition reaction, which converts alkyne into ketone.

AP EAMCET Mock Test - 6 - Question 12
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The temporary hardness of water due to calcium bicarbonate and can be removed by adding
Detailed Solution for AP EAMCET Mock Test - 6 - Question 12

Lime treatment removes bicarbonate hardness by forming insoluble CaCO3 as,

AP EAMCET Mock Test - 6 - Question 13
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Consider the following statements:
I. The electron present in principle quantum number (n) = 5 and lower value of azimuthal quantum number has orbital angular momentum of h/π.
II. For a certain atom, if the values of quantum numbers for the last electrons are n = 3, l = 0, m = 0, then its atomic number may be 12.
III. Total spin of the electrons for the atom having atomic number (Z) 26 is .
IV. For noble gases, the magnetic moment is zero.
The incorrect statement(s) is/are:
Detailed Solution for AP EAMCET Mock Test - 6 - Question 13

l. Orbital quantum number = 
For n = 5, l = 0, 1, 2, 3 and 4, which cannot satisfy the given condition.
II. For last electron, if last valence shell is 3s, then its atomic number may be 11(Na) or 12(Mg).
III. Total spin can be calculated with the help of unpaired electrons.
Z = 26 is Fe.
E.C: [Ar] 3d6 4s2
There are 4 unpaired electrons in the 3d orbital and the total spin adds up to ±2.
IV. For noble gases, magnetic moment is zero due to no unpaired electrons.
Thus, only (I) is incorrect.

AP EAMCET Mock Test - 6 - Question 14
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The stability of lyophilic colloids is due to which of the following?
Detailed Solution for AP EAMCET Mock Test - 6 - Question 14

Lyophilic colloids have very less or no charge and their particle size is within colloidal range.

So, charge and size do not show any effect on stability.

But they are highly solvated in the dispersion medium, they exist and remain stable. So, dispersion medium is the reason behind the existence of lyophilic colloids in stable form.

AP EAMCET Mock Test - 6 - Question 15
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Two tangents are drawn from the point (-2, -1) to the parabola y2 = 4x. If α is the angle between these tangents, then tan α =
AP EAMCET Mock Test - 6 - Question 16
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If all the elements of a 3 x 3 matrix A are 1, then A2 → 3 A is
AP EAMCET Mock Test - 6 - Question 17
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The order of the matrix A is 3 x 5 and that of B is 2x3 . The order of the matrix BA is
AP EAMCET Mock Test - 6 - Question 18
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AP EAMCET Mock Test - 6 - Question 19
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The area of the curve |x|+|y|=4 is
AP EAMCET Mock Test - 6 - Question 20
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If R → R is continuous such that f (x + y)   = f(x) + f(y), ∀ x ∈ R , y ∈ R , and f(1) = 2 then f(100) =
AP EAMCET Mock Test - 6 - Question 21
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If tan (cotx) = cot(tanx), then sin2x is equal to
AP EAMCET Mock Test - 6 - Question 22
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If (a, b), (c, d), (e, f) are the verices of a triangle such that a, c, e are in G.P. with common ratio r and b, d, f are in G.P. with common ratio's then the area of the triangle is
AP EAMCET Mock Test - 6 - Question 23
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The function f(x) = x3 - 3x2 - 24x + 5 is increasing in the interval
AP EAMCET Mock Test - 6 - Question 24
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 then a =
AP EAMCET Mock Test - 6 - Question 25
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If A and B are two mutually exclusive events such that P(B) = 2P(A) and A ∪ B = S. Then P(A) is equal to
AP EAMCET Mock Test - 6 - Question 26
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Let y = | x | + | x − 2 | . Then dy/dx at x = 2 is
AP EAMCET Mock Test - 6 - Question 27
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In how many ways can 4 boys and 3 girls be seated in a row of 7 chairs if the boys and girls alternate?
AP EAMCET Mock Test - 6 - Question 28
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If a , b , c are positive then
AP EAMCET Mock Test - 6 - Question 29
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If w3 = 1 and w ≠ 1, then (1 + w)(1 + w2)(1 + w4)(1 + w8) =
AP EAMCET Mock Test - 6 - Question 30
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The mode of the following items is 0, 1, 6, 7, 2, 3, 7, 6, 6, 2, 6, 0, 5, 6, 0
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