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AP EAMCET Mock Test - 2 - JEE MCQ


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30 Questions MCQ Test - AP EAMCET Mock Test - 2

AP EAMCET Mock Test - 2 for JEE 2025 is part of JEE preparation. The AP EAMCET Mock Test - 2 questions and answers have been prepared according to the JEE exam syllabus.The AP EAMCET Mock Test - 2 MCQs are made for JEE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for AP EAMCET Mock Test - 2 below.
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AP EAMCET Mock Test - 2 - Question 1
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A parallel plate condenser with oil between the plates (dielectric constant of oil K = 2) has a capacitance C. If the oil is removed, then capacitance of the capacitors becomes

Detailed Solution for AP EAMCET Mock Test - 2 - Question 1

On removing the oil, the capacitance of the capacitor will become.
C ′ = C/K = C/2

AP EAMCET Mock Test - 2 - Question 2
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A straight wire of length l and electric dipole moment p is bent to from a semicircle. The new electric dipole moment would be

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AP EAMCET Mock Test - 2 - Question 3
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Two spherical conductors A and B having equal radii and carrying equal charges on them, repel each other with a force F, when kept apart at some distance. A third spherical conductor C having same radius as that of A, but uncharged, is brought in contact with A, then brought in contact with B and finally removed away from both. The new force of repulsion between the conductors A and B is

AP EAMCET Mock Test - 2 - Question 4
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We have two wires A and B of same mass and same material. The diameter of the wire A is half of that B. If the resistance of wire A is 24 ohm then the resistance of wire B will be
AP EAMCET Mock Test - 2 - Question 5
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To a charged particle, which is moving with a constant initial velocity V → , a uniform magnetic field is applied in the direction of velocity; then
AP EAMCET Mock Test - 2 - Question 6
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A parallel plate capacitor is charged. If the plates are pulled apart
AP EAMCET Mock Test - 2 - Question 7
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The masses of three wires of copper are in ratio 1 : 2 : 3 and their length are in the ratio 3 : 2 : 1. The ratio of their resistances is
AP EAMCET Mock Test - 2 - Question 8
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A microammeter has a resistance of 100 Ω and full scale range of 50 μA. It can be used as a voltmeter or as a higher range ammeter provided a resistance is added to it. Pick the correct range and resistance combination
AP EAMCET Mock Test - 2 - Question 9
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When a wire of resistance R is stretched and its radius becomes r/2, then the new resistance will be
AP EAMCET Mock Test - 2 - Question 10
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Photoelectric effect proves the
AP EAMCET Mock Test - 2 - Question 11
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A step up transformer operates on a 230 volt line and supplies 2 amp to a load. The ratio of primary and secondary windings is 1:25. Determine the primary current .
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AP EAMCET Mock Test - 2 - Question 12
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At a point A, there is an electric field of 500 V-m⁻� and potential difference of 3000 V. The distance between the point charge and the point A is
AP EAMCET Mock Test - 2 - Question 13
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Pick out the incorrect statement regarding reverse saturation current in a p - n junction diode.
AP EAMCET Mock Test - 2 - Question 14
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The most commonly used material for making transistor is
AP EAMCET Mock Test - 2 - Question 15
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A steady current of 1.5 A flows through a copper voltameter for 10 min. If the electrochemical equivalent of copper is 30 x 10-5  g C-1 , the mass of copper deposited on the electrode will be
AP EAMCET Mock Test - 2 - Question 16
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Find the value of
Detailed Solution for AP EAMCET Mock Test - 2 - Question 16

we know,

AP EAMCET Mock Test - 2 - Question 17
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The sum up to n terms of the infinite series 1.32 + 2.52 + 3.72 + …  is
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AP EAMCET Mock Test - 2 - Question 18
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A GP consists of an even number of terms (all terms being different). If the sum of all the terms is five times the sum of the terms occupying odd places, then the common ratio will be
Detailed Solution for AP EAMCET Mock Test - 2 - Question 18

Let 2n be the total number of terms

where T1, T3 ... T2n - 1 are terms occupying odd places

[Sum of G.P., where a is first term and r is common ratio]

 

AP EAMCET Mock Test - 2 - Question 19
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The focus of the curve y2+4x−6y+13=0 is
Detailed Solution for AP EAMCET Mock Test - 2 - Question 19

The given equation of curve is
y2+4x−6y+13=0
which can be written as
y2−6y+9+4x+4=0
⇒(y2−6y+9)=−4(x+1)
⇒(y−3)2=−4(x+1)
Put Y=y−3 and X=x+1
Then, we get
Y2 = −4X
On comparing with the standard equation of parabola i.e., y2=4ax, we get
a=−1
Length of focus from vertex is a.
At focus X=a and Y=0
⇒x+1=−1
⇒x=−2
∴ y−3=0 ⇒ y=3
Hence, focus is (−2,3)

AP EAMCET Mock Test - 2 - Question 20
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The solution of the differential equation
Detailed Solution for AP EAMCET Mock Test - 2 - Question 20

Now, differential equation is of type 
so assumey 

from (i) and (ii),

Solving equation (iii), we get

integrating both sides

Solving equation (iv), we get

integrating both sides, 

AP EAMCET Mock Test - 2 - Question 21
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The value of  is
Detailed Solution for AP EAMCET Mock Test - 2 - Question 21





= 
= 
= 

AP EAMCET Mock Test - 2 - Question 22
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Detailed Solution for AP EAMCET Mock Test - 2 - Question 22

Let a and b be two points belonging to domain of f(x) such that
f(a) = f(b)

⇒ a = b or ab = 1 (Neglected as if  a ∈ N then b = 1/a does not belong to N)

Hence, a = b
⇒ The function is one-one.

AP EAMCET Mock Test - 2 - Question 23
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Detailed Solution for AP EAMCET Mock Test - 2 - Question 23

[where A' is the transpose of A calculated by interchanging the rows and columns of A]
Since A = A′, so matrix A is symmetric.

AP EAMCET Mock Test - 2 - Question 24
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A parabola is drawn with focus at one of the foci of the ellipse  where a > b, and directrix passing through the other focus and perpendicular to the major axis of the ellipse. If the latus rectum of the ellipse and that of the parabola are same, then the eccentricity of the ellipse is:
Detailed Solution for AP EAMCET Mock Test - 2 - Question 24

For ellipse, equation: 
Let focus be (ae, 0) and directrix be x + ae = 0


And, for parabola: y2 = 4aex

Length of latus rectum is 4ae.

According to the question,

AP EAMCET Mock Test - 2 - Question 25
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The radius of a cylinder is increasing at the rate of 3 m/s and its altitude is decreasing at the rate of 4 m/s. What is the rate of change of volume when radius is 4 m and altitude is 6 m?
Detailed Solution for AP EAMCET Mock Test - 2 - Question 25

Let h and r be the height and radius of cylinder.
Given that, dr/dt = 3 m/s, dh/dt = -4 m/s
Also, V = πr2h
On differentiating with respect to t, we get

At r = 4 m and h = 6 m
∴  = 80π cu m/s

AP EAMCET Mock Test - 2 - Question 26
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The probability that a teacher will give an unannounced test during any class meeting is 1/5. If a student is absent twice, then the probability that the student will miss at least one test is
Detailed Solution for AP EAMCET Mock Test - 2 - Question 26

Given that probability that a teacher will give an unannounced test during any class meeting is 1/5.
The probability of not missing the test = 1 - 1/5 = 4/5
The probability of not missing both the tests = (4/5) × (4/5) = 16/25
Hence, probability that he will miss at least one test = 1 - 16/25 = 9/25

AP EAMCET Mock Test - 2 - Question 27
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The expression   when simplified reduces to
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AP EAMCET Mock Test - 2 - Question 28
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The value of determinant  is equal to
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AP EAMCET Mock Test - 2 - Question 29
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 is equal to
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AP EAMCET Mock Test - 2 - Question 30
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Detailed Solution for AP EAMCET Mock Test - 2 - Question 30

= [10(21)]2 − [5(11)]2
= (10 x 21)2 − (5 x 11)2
= 44100 − 3025
= 41075 = An odd integer that is divisible by 5

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