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AP EAMCET Mock Test - 7 - JEE MCQ


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30 Questions MCQ Test - AP EAMCET Mock Test - 7

AP EAMCET Mock Test - 7 for JEE 2024 is part of JEE preparation. The AP EAMCET Mock Test - 7 questions and answers have been prepared according to the JEE exam syllabus.The AP EAMCET Mock Test - 7 MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for AP EAMCET Mock Test - 7 below.
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AP EAMCET Mock Test - 7 - Question 1

The inductance of a closed-packed coil of 400 turns is 8 mH. A current of 5 mA is passed through it. The magnetic flux through each turn of the coil is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 1

Given,

Number of turns in the coil, N = 400

The inductance of the coil, L = 8 mH

Current in the coil, i = 5 mA

Let the magnetic flux through each coil be ϕ, then

AP EAMCET Mock Test - 7 - Question 2

The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 2


Q1 = T0S0 + 1/2 T0S0 = 3/2 T0S0
Q2 = T0(2S0 - S0) = T0S0 and Q3 = 0

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AP EAMCET Mock Test - 7 - Question 3

When the temperature increases, the viscosity of,

Detailed Solution for AP EAMCET Mock Test - 7 - Question 3

Viscosity is the property of fluids by the virtue of which it opposes any relative motion between the layers of fluid or between any object and fluid surrounding it. It is analogous to friction for fluids.
It depends strongly on temperature. In liquids, it usually decreases with increasing temperature, whereas, in gases, viscosity increases with increasing temperature.

AP EAMCET Mock Test - 7 - Question 4

A wooden block, with a coin placed on its top, floats in water as shown in the figure. The distance h and l are shown there. After sometime, the coin falls into the water. Then,
:

Detailed Solution for AP EAMCET Mock Test - 7 - Question 4

As the block moves up with the fall of coin, l decreases, similarly h will also decrease because when the coin falls in water, it displaces water equal to its own volume only. The fall in level of water is higher from upward displacement of block. Hence, option b is correct.

AP EAMCET Mock Test - 7 - Question 5

In the Wheatstone's bridge shown below, in order to balance the bridge, we must have

Detailed Solution for AP EAMCET Mock Test - 7 - Question 5

AP EAMCET Mock Test - 7 - Question 6

An ammeter and a voltmeter of resistance R are connected in series to an electric cell of negligible internal resistance. Their readings are A and V, respectively. If another resistance R is connected in parallel with the voltmeter, then

Detailed Solution for AP EAMCET Mock Test - 7 - Question 6

The total resistance of circuit would decrease as resistance R  is connected in parallel. So, the reading of the ammeter would increase, Reading of the voltmeter would decrease as  the final resistance across the voltmeter decreases due to parallel connection of resistance R. In series combination, the potential difference is directly proportional to the resistance.

AP EAMCET Mock Test - 7 - Question 7

A variable force, given by the 2-dimensional vector  acts on a particle. The force is in newton and x is in metre. What is the change in the kinetic energy of the particle as it moves from the point with coordinates (2, 3) to (3, 0)? (The coordinates are in metres)

Detailed Solution for AP EAMCET Mock Test - 7 - Question 7



= 27 + 0 – (8 + 12) = 27 – 20 = +7 J
According to work energy theorem,
Change in the kinetic energy
= Work done, W
= +7 J

AP EAMCET Mock Test - 7 - Question 8

The base-catalysed aldol condensation will not occur with

AP EAMCET Mock Test - 7 - Question 9

In the following reaction, which choice has value twice that of the equivalent mass of the oxidising agent SO₂ + H₂O → 3S + 2H₂O

AP EAMCET Mock Test - 7 - Question 10

Given the bond energies of N ≡ N , H − H and N − H bonds as 941.5, 433 and 391 kJ mole-1 respectively, the enthalpy of reaction N2 g + 3 H2 g → 2 NH3 g is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 10

Enthalpy of reaction = ∑ bond energyreactant - ∑ bond energyproduct
= bond energy (n2) + 3 x (bond energy) (h2) - 2 x (bond energy) (NH3)
= 941.5 + (3 x 433) - 2 x 3 x 391
= 2240.5 - 2346 = 105.4 ≅ -105kJ

AP EAMCET Mock Test - 7 - Question 11

The interionic distance for cesium chloride cystal will be

AP EAMCET Mock Test - 7 - Question 12

Rancidity of butter is due to the formation of

AP EAMCET Mock Test - 7 - Question 13

Ethyl alcohol reacts with acetyl chloride to form

AP EAMCET Mock Test - 7 - Question 14

Aldol condensation will not be observed in

AP EAMCET Mock Test - 7 - Question 15

Which of the following reacts with water at a high rate?

AP EAMCET Mock Test - 7 - Question 16

For an ideal gas, the relation between the enthalpy change and internal energy change at constant temperature is given by

AP EAMCET Mock Test - 7 - Question 17

Which of the following shows maximum no. of oxidation states?

AP EAMCET Mock Test - 7 - Question 18

The sum of n terms of the series 1 + (1 + 3) + (1 + 3 + 9) + (1 + 3 + 9 + 27) + ...... is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 18

AP EAMCET Mock Test - 7 - Question 19

The period of the function f(x) = |sin x| + |cos x| is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 19

AP EAMCET Mock Test - 7 - Question 20

In ΔABC, if then a + c is equal to

Detailed Solution for AP EAMCET Mock Test - 7 - Question 20

Given equation is,

⇒ 3(2s − a − c) = 2s

⇒ 3b = a + b + c(∵2s = a + b + c)

⇒ a + c = 2b

AP EAMCET Mock Test - 7 - Question 21

If M denotes the mid-point of the line joining  then the equation of the plane through M & perpendicular to AB is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 21

∵ M is the mid point of AB

∵  plane is perpendicular to the line AB

AP EAMCET Mock Test - 7 - Question 22

Let lx+my+n=0 represents a chord of the ellipse b2x2+a2y2=a2b2, If the eccentric angles of end points of the chord differ by 90°, then

Detailed Solution for AP EAMCET Mock Test - 7 - Question 22

Equation of chord joining points P(a cos α,b sin α)  and Q(a cos β,b sin β) is

now, compare it with lx+my=−n, we get

AP EAMCET Mock Test - 7 - Question 23

Three numbers from {1, 2, 3, … 10} are chosen at random without replacement. The probability that the minimum of the chosen numbers is 3 or the maximum of the chosen numbers is 7 is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 23

AP EAMCET Mock Test - 7 - Question 24

The function f:R→R satisfies  for all real x. Given that f(1)=1 and f′′(1)=8, compute the value of f′(1)+f′′(1).

Detailed Solution for AP EAMCET Mock Test - 7 - Question 24

AP EAMCET Mock Test - 7 - Question 25

All the real values of m such that both roots of the equation x− 2mx + m− 1 = 0 are greater than −2 and less than 4 lies in

Detailed Solution for AP EAMCET Mock Test - 7 - Question 25

The given equation can be written as

By given condition −2 < m − 1 < m + 1 < 4
⇒ − 1 < m < 3

AP EAMCET Mock Test - 7 - Question 26

Nitika chose 12 numbers randomly. The sum of 12 numbers is 18 and the sum of their square is 30. What is the variance of the series?

Detailed Solution for AP EAMCET Mock Test - 7 - Question 26

Given: ∑x = 18 and ∑x2 = 30
n = 12
Now,

AP EAMCET Mock Test - 7 - Question 27

In the given figure, OABC is a rectangle. If  || m, what is the area of the rectangle OABC?

Detailed Solution for AP EAMCET Mock Test - 7 - Question 27

 || m
So, slope of  = slope of m

x = 9
So, length = 12 units and width = 9 units
Area =  × w = 12 units × 9 units = 108 sq. units

AP EAMCET Mock Test - 7 - Question 28

If the roots of the equation x2 - bx + c = 0 are two consecutive integers, then b2 - 4c is equal to

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AP EAMCET Mock Test - 7 - Question 29

If P represents z=x+iy in the argand plane  then locus of P is 

Detailed Solution for AP EAMCET Mock Test - 7 - Question 29

Let z=x+iy

Putting z=x+iy in the given equation we get, (x−1)2+y2+(x+1)2+y2=4

AP EAMCET Mock Test - 7 - Question 30

Let f:(−∞,0]→[1,∞) be defined a  then f(x) is

Detailed Solution for AP EAMCET Mock Test - 7 - Question 30

Because of √-x, domain of the function is x ≤ 0.

It proves that the function is one-one. 

f(x) is one-one and range is same as co-domain.

So, the function is injective as well as surjective.

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