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TS EAMCET Mock Test - 1 - JEE MCQ


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30 Questions MCQ Test TS EAMCET Mock Test Series - TS EAMCET Mock Test - 1

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

Spot the wrong statement:

The acceleration due to gravity g decreases if,

Detailed Solution for TS EAMCET Mock Test - 1 - Question 1

(i) Effect due to rotation: Acceleration due to gravity is maximum at poles because there is no effect of earth's rotation at poles which are situated on the axis of rotation. Also, the earth is flattened at the poles due to which the distance from centre of the earth decreases and cause an increase in gravity. 

Acceleration due to gravity is minimum at the equator because there is maximum possible effect of the earth's rotation.

So, as we move from the equator to the poles, the acceleration due to gravity g increases. 

(ii) Effect due to radial distance from centre: The acceleration due to gravity is maximum at earth's surface. It decreases on moving towards the centre and above the surface.

TS EAMCET Mock Test - 1 - Question 2

Find the rms value of the saw tooth wave form shown in figure -

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

Equation of straight line from t=0 to t=1 using straight line equation y=mx+c  where m is slope and c is the intercept
We get

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TS EAMCET Mock Test - 1 - Question 3

The graph which represents the relation between the total resistance R of a multi-range moving coil voltmeter and its full-scale deflection V is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 3

When we convert any galvanometer into voltmeter,

V = Ig(Rg + R)

Let RT be the effective resistance of Rg and R, connected in series.

V = Ig(RT)

where, 

RT = Total resistance of voltmeter

V = Range of voltmeter

Ig = Full scale deflection current
V ∝ RT

For a multi-range voltmeter, as we increase RT, range (V) would also increase.

So, the graph would be a straight line.

TS EAMCET Mock Test - 1 - Question 4

Four point positive charges of same magnitude(Q) are placed at the corners of a square. The electric field at the center of the square of side 'a' is :

Detailed Solution for TS EAMCET Mock Test - 1 - Question 4

TS EAMCET Mock Test - 1 - Question 5

Assertion: string can never remain horizontal, when loaded at the middle, howsoever large the tension may be.

Reason: For horizontal string, angle with vertical, 

Detailed Solution for TS EAMCET Mock Test - 1 - Question 5

If both Assertion and Reason are true and the Reason is correct explanation of the Assertion.

TS EAMCET Mock Test - 1 - Question 6

A circular coil, of radius R, carries a current I. The expression for the magnetic field due to this coil at its centre is

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

The magnetic field due to a circular coil at its centre of radius R and carrying current I is

The direction of magnetic field induction   at the centre is perpendicular to the plane of the circular coil and directed inwards.

TS EAMCET Mock Test - 1 - Question 7

A point object is placed at a distance of 12 cm on the axis of a convex lens of focal length 10 cm. On the other side of the lens, a convex mirror is placed at a distance of 10 cm from the lens such that the image formed by the combination coincides with the object itself. What is the focal length of the convex mirror?

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

The incident ray OA is refracted along BD by the lens. Singe the image coincides with the object. the refracted ray BD must retrace its path after reflection from the mirror, i.e., it falls normally on the mirror.
Let C be the point on the axis where BD produced meets the axis. It is clear that C is the centre of curvature of the mirror. Also is the imago of the object O formed by the lens alone. Thus
f = +10 cm and u = - 12 cm
The distance v of the image is obtained from the lens formula

which gives v = - 60 cm
Since x = 10 cm. R = v - x = 60 - 10 = 50 cm.

Hence, the focal length of the mirror = R/2 = 25cm

TS EAMCET Mock Test - 1 - Question 8

A toy car of mass 5 kg moves up a ramp under the influence of force F plotted against displacement x. The maximum height attained by the car is given by,

Detailed Solution for TS EAMCET Mock Test - 1 - Question 8


Total work done by the force F is the area under the force-displacement curve. This work is responsible to increase kinetic energy of the toy car.
Total work done by the force,

Hence, the kinetic energy of toy car at x = 11 m is,
Work done = Change in kinetic energy = 550 J
By energy conservation,
Potential energy gain by toy car at ymax = Kinetic energy at x = 11 m

TS EAMCET Mock Test - 1 - Question 9

Two blocks of masses m and M are placed on a horizontal frictionless table connected by a spring as shown in the figure. The block of mass M is pulled to the right with a force F. If the acceleration of the block of mass m is 'a', then the acceleration of the block of mass M will be

Detailed Solution for TS EAMCET Mock Test - 1 - Question 9

For the block with mass m, the force experienced is the spring force.
∴ Spring force = Mass × acceleration = ma
For block with mass M, forces are spring force and the external F

TS EAMCET Mock Test - 1 - Question 10

Which does not contain conjugate system?

Detailed Solution for TS EAMCET Mock Test - 1 - Question 10

In dienes, when the double bonds connected to each other by a single bond, this arrangement is known as conjugated.

TS EAMCET Mock Test - 1 - Question 11
Which of the following compound gives dye test ?
TS EAMCET Mock Test - 1 - Question 12

Find the value of

Detailed Solution for TS EAMCET Mock Test - 1 - Question 12

we know,

TS EAMCET Mock Test - 1 - Question 13

Detailed Solution for TS EAMCET Mock Test - 1 - Question 13

Putting xex = t.
we get (xex + ex) dx = dt
⇒ (x + 1) ex.dx = dt

TS EAMCET Mock Test - 1 - Question 14

 is equal to

Detailed Solution for TS EAMCET Mock Test - 1 - Question 14

TS EAMCET Mock Test - 1 - Question 15

The proposition 

Detailed Solution for TS EAMCET Mock Test - 1 - Question 15

Clearly, (p→~p)∧(~p→q) is a contradiction.

TS EAMCET Mock Test - 1 - Question 16

The number of ways in which a mixed doubles tennis game can be arranged between 10 players consisting of 6 men and 4 women, is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 16

Mixed doubles includes 2 men and 2 women.
Since 2 men are selected out of 6 men
⇒ number of ways = 6C2
Also 2 women are selected out of 4 women
⇒ number of ways = 4C2
But they also can be interchanged in 2 ways.
∴ Total no. of ways = 6C2 x 4C2 x 2

TS EAMCET Mock Test - 1 - Question 17

The focus of the curve y2+4x−6y+13=0 is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 17

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
Y= −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)

TS EAMCET Mock Test - 1 - Question 18

The vector equation of the straight line 

Detailed Solution for TS EAMCET Mock Test - 1 - Question 18

⇒ Line is passing through (1,−1,3) and having direction ratios −3, −2, 1 i.e., 3, 2, −1

∴ Vector equation of the line is

TS EAMCET Mock Test - 1 - Question 19

Detailed Solution for TS EAMCET Mock Test - 1 - Question 19

= [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

TS EAMCET Mock Test - 1 - Question 20

The value of determinant  is equal to

Detailed Solution for TS EAMCET Mock Test - 1 - Question 20

TS EAMCET Mock Test - 1 - Question 21

If the mean and coefficient of variation are 12 and 45% respectively, then its standard deviation is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 21

TS EAMCET Mock Test - 1 - Question 22

The value of  is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 22







TS EAMCET Mock Test - 1 - Question 23

The equation of the circle which touches the coordinate axes and the line  and whose centre lies in the first quadrant is x2 + y2 − 2cx − 2cy + c2 = 0, where c is

Detailed Solution for TS EAMCET Mock Test - 1 - Question 23

The equation of the circle touching the co-ordinate axes is
x2 + y2 - 2cx - 2cy + c2 = 0
i.e. (x - c)2 + (y - c)2 = c2 ...(1)
This touches the line

Perpendicular distance between centre (c, c) and line is

⇒ 7c - 12 = 5c or - 5c
⇒ 7c - 12 = 5c or 5c
⇒ c = 6 or c = 1
Hence, c = 1, 6

TS EAMCET Mock Test - 1 - Question 24

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 TS EAMCET Mock Test - 1 - Question 24

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

TS EAMCET Mock Test - 1 - Question 25

Detailed Solution for TS EAMCET Mock Test - 1 - Question 25

TS EAMCET Mock Test - 1 - Question 26

A seven digit number is of the form abcdefg (g,f,e, etc. are distinct digits at units, tens, hundred place etc.) where a<b<c<d>e>f>g. The number of such numbers are

Detailed Solution for TS EAMCET Mock Test - 1 - Question 26

Cases :

(i) If d=6 then seven digit numbers possible are = 5C33C3
[as a,b,c can be choosen from 1,2,3,4 or 5 & similarly e,f,g can be choosen from the unused 2 digit which are less than 6 & 0can be used]
(ii) If d=7 then numbers possible = 6C34C3
(iii) If d=8 then numbers possible = 7C35C3
(iv) If d=9 then numbers possible = 8C36C3
Add all cases, we get 1560

TS EAMCET Mock Test - 1 - Question 27

Detailed Solution for TS EAMCET Mock Test - 1 - Question 27

TS EAMCET Mock Test - 1 - Question 28

Detailed Solution for TS EAMCET Mock Test - 1 - Question 28

TS EAMCET Mock Test - 1 - Question 29

Detailed Solution for TS EAMCET Mock Test - 1 - Question 29

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.

TS EAMCET Mock Test - 1 - Question 30

If (a−3) x+ ay= 9 represents a rectangular hyperbola, then a=...

Detailed Solution for TS EAMCET Mock Test - 1 - Question 30

For rectangular hyperbola a=b,
Hence (a−3)=−a,
So a=3/2

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