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OSSSC TGT Science PCM Mock Test - 7 - OTET MCQ


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30 Questions MCQ Test OSSC TGT Mock Test Series 2025 - OSSSC TGT Science PCM Mock Test - 7

OSSSC TGT Science PCM Mock Test - 7 for OTET 2025 is part of OSSC TGT Mock Test Series 2025 preparation. The OSSSC TGT Science PCM Mock Test - 7 questions and answers have been prepared according to the OTET exam syllabus.The OSSSC TGT Science PCM Mock Test - 7 MCQs are made for OTET 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for OSSSC TGT Science PCM Mock Test - 7 below.
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OSSSC TGT Science PCM Mock Test - 7 - Question 1

''Children actively construct their understanding of the world'' is a statement attributed to

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 1

Piaget's theory states that children actively construct their understanding of the world and go through four stages of cognitive development.

OSSSC TGT Science PCM Mock Test - 7 - Question 2

Motivation is the process of learning:

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 2

Motivation is the process of learning that defines a reason for a person to do something or the desire a person has to do something. It creates interest in learning among young learners. If learners are motivated they will perform their work efficiently and effectively and if they are not motivated to do something then it will affect their performance.
Hence, the correct answer is, 'Creates interests for learning among young learners.'

OSSSC TGT Science PCM Mock Test - 7 - Question 3

In which of the following stages do children become active members of the peer group?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 3

Adolescence is the stage when children become active members of the peer group. It is a transitional stage of growth and development that lies between childhood and adulthood. According to the World Health Organization, this period occurs between the age of 10 and 19. At this stage, children are more actively involved in their peer group. They share everything with their friends instead of family. They are more comfortable with their peers.
Hence, the correct answer is, 'Adolescence.'

OSSSC TGT Science PCM Mock Test - 7 - Question 4

A current of 2 ampere is passing through a metallic wire of cross-sectional area 2 x 10-6 m2. If the density of the charge carriers in the wire is 5 x 1026 m-3, then the drift velocity of the electrons will be​

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 4

Drift velocity, v=I/nAe
=2/(2x10-6)x(5x1026)x(1.6x10-19)
=1.25x10-2m/s

OSSSC TGT Science PCM Mock Test - 7 - Question 5

Referring to the Young’s double slit experiment, Phase difference corresponding to a Path Difference of λ /3 is

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 5

We know that,
Phase difference=K× path difference. K=2π/ λ.
Therefore, phase difference=(2π/ λ) ×( λ/3)=2π/3=120 degree.

OSSSC TGT Science PCM Mock Test - 7 - Question 6

A convex mirror has a focal length f. A real object, placed at a distance f in front of it from the pole, produces an image at

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 6

Here F=f
U=-f(-because it is present in front of a convex lens)
It is given that both focal length and object distance is f .
So according to lens formula 1/F=1/v+1/u
So 1/f=(1/v)+(-1/f)
=>1/f=(1/v)-(1/f)
So (1/f)+(1/f)=1/f
=>1+(1/f)=(1/v)
=>2/f=1/v
So from here we can say that v= f/2
Hence option B is correct.
 

OSSSC TGT Science PCM Mock Test - 7 - Question 7

An object is placed at a distance u from a concave mirror and its real image is received on a screen placed at a distance of v from the mirror. If f is the focal length of the mirror, then the graph between 1/v versus 1/u is

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 7

For real object and real Image,
(1/v)+(1/u)=(1/f)=> -(1/v)-(1/u)=-(1/f)
(1/v)+(1/u)=(1/f) => 1/v=-(1/u)+(1/f)
y=mx+c
The correct answer is option B.

OSSSC TGT Science PCM Mock Test - 7 - Question 8

What is current I in the circuit as shown in figure?​

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 8

Three 2Ω resistors are in series. Their total resistance =6Ω. Now it is in parallel with 2Ω resistor, so total resistance,
1/R​=1/2+1/6​=3+1/6​=4/6=2/3
R=3/2​
∴I=RV​=3/(3/2)​=3×2​/3=2A

OSSSC TGT Science PCM Mock Test - 7 - Question 9

A tree is 18.0 m away and 2.0 m high from a concave lens. How high is the image formed by the given lens of focal length 6m

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 9

Focal length of the lens is f = −6.0 m
u = −18 m and h = 2 m

OSSSC TGT Science PCM Mock Test - 7 - Question 10

A beam of light consisting of two wavelengths, 650 nm and 520 nm, is used to obtain interference fringes in a Young’s double-slit experiment. What is the least distance from the central maximum where the bright fringes due to both the wavelengths coincide?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 10

OSSSC TGT Science PCM Mock Test - 7 - Question 11

Do EM waves need a medium to travel through?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 11

The electromagnetic waves are not mechanical waves. There are vibrations of electric vectors and magnetic vectors in them. These vibrations do not need any particles present in the medium for their propagation. That's why electromagnetic waves do not require any medium for propagation.This means that electromagnetic waves can travel not only through air and solid materials, but also through the vacuum of space.

OSSSC TGT Science PCM Mock Test - 7 - Question 12

Which is not anomalous pair of elements in the Medeleeves periodic table -

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 12

In Mendeleev’s periodic table, the elements are arranged in the increasing order of their atomic masses. In some places, this order has been ignored.

(a) Ar and K:  The atomic mass of argon is 40 and that of potassium is 39, But argon is placed beforepotassium in the periodic table.

(b) Co and Ni: The positions of cobalt and nickel are not in proper order. Cobalt (at. wt. = 59.9) is placed before nickel (at. wt. = 58.6).

(c) Te and I: Tellurium (at. wt. = 127.6) is placed before iodine (at. wt = 126.9).

(d) Thorium (at, wt. =232.12) is placed before protactinium (at. Wt = 231).

So, Al and Si is not the anomalous pair  of elements in the Mendeleev's periodic table.

OSSSC TGT Science PCM Mock Test - 7 - Question 13

The atomic mass of sodium is 23. The number of moles in 46g of sodium is ________.

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 13

Number of moles = Mass (in grams) / Molar mass.

OSSSC TGT Science PCM Mock Test - 7 - Question 14

Conversion of CaCO3 in to CaO as per following reaction is an example of
CaCO3 → CaO + CO2

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 14
  • In the given reaction, the compound breaks down into two simpler products.
  • Calcium carbonate is decomposed to calcium oxide and carbon dioxide.

​​​​​​​So Option A is correct

OSSSC TGT Science PCM Mock Test - 7 - Question 15

 Mendeleev's Periodic Table reflected relationships between elements in triads as well as similarities between elements in vertical and horizontal rows. Which of the following was NOT a result of the Periodic Table of Elements that Mendeleev designed?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 15

Mendeleev missed receiving the Nobel Prize by one vote. Some atomic numbers of elements on the table were refined and corrected. Elements such as sulfur and hydrogen were difficult to place within the structure of the table but Mendeleev was able to construct the table around anomalous elements.

OSSSC TGT Science PCM Mock Test - 7 - Question 16

A compound is a _______ substance made up of _______.

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 16

A compound is a substance formed when two or more elements are chemically joined. Water, salt, and sugar are examples of compounds. When the elements are joined, the atoms lose their individual properties and have different properties from the elements they are composed of.

OSSSC TGT Science PCM Mock Test - 7 - Question 17

How many valence electrons are present in a potassium atom?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 17

Atomic number of potassium atom is 19. Its electronic configuration is 2,8,8,1 so, its valency is 1.

OSSSC TGT Science PCM Mock Test - 7 - Question 18

Which factor affecting Evaporation - 

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 18

The turning of any liquid into vapour is called Evaporation. The factors affecting the evaporation are:

1. Temperature. As the temperature increases, the rate of evaporation also increases.

2. Surface Area. As the Surface area increases, the rate of evaporation increases.

 

OSSSC TGT Science PCM Mock Test - 7 - Question 19

Which of the following is the nuclear fuel in the sun?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 19

Hydrogen as a fuel in Sun. The source of Sun's incessant energy is hydrogen which is continuously converting to helium through nuclear fusion reaction releasing energy.

OSSSC TGT Science PCM Mock Test - 7 - Question 20

The circles x2+y2+6x+6y = 0 and x2+y2−12x−12y = 0

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 20

Given equation of circles are
x2+y2+6x+6y=0....(i)
and x2+y2−12x−12y=0....(ii)
Here, g1 = 3,f2 = 3, g2 = −6 and f2 = −6
∴ Centres of circles are C1(−3,−3) and C2(6,6) respectively and radii are r1 = 3√2 and r2 = 6√2 respectively.
Now, C1C2 = √[(6+3)2 + (6+3)2]
= 9√2
and r1 + r2
​= 3(2)1/2 + 6(2)1/2
= 9(2)1/2
​⇒ C1C2 = r1 + r2
∴ Both circles touch each other externally.

OSSSC TGT Science PCM Mock Test - 7 - Question 21

What is the curved surface area of a cylinder with 7 cm height and 2 cm radius?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 21

Curved surface area of a cylinder = 2πrh

Hence, Option B is correct.

OSSSC TGT Science PCM Mock Test - 7 - Question 22

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 22

OSSSC TGT Science PCM Mock Test - 7 - Question 23

The curve y = ax3 + bx2 + cx + 5 touches the x-axis at P(-2, 0) and cuts the y-axis at the point Q where its gradient is 3. the equation of the curve is… .

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 23

y=ax3+bx2+cx+5
(−z,0) lies on curve y=ax3+ bx2 + cx + 5d
⇒ 0= −8a + 4b − 2c + 5.....(1)
Also at (−2,0) curve touches x-axis ie dy/dx at (−2,0) is 0 
∴ dy/dx=3ax2+2bx+c
dy/dx (−2,0)=0=12a = −4b + c....(2)
Since curve crosses y-axis at Q, x-coordinate of point Q must be zero 
⇒ y = 0 + 0 + 0 + 5
⇒y = 5
∴ coordinate of Q = (0,5)
According to Question  dy/dx =3 at Q(0,5)
⇒ 3= 0 + 0 + c
⇒ c = 3
putting the value of c in eqn(1) & eq n(2)and gurthare solving we get 
a=−1/2 & b=-3/4
​∴Eqn of cover is y = −(x3) / 2−3/4x+ 3x + 5

OSSSC TGT Science PCM Mock Test - 7 - Question 24

Read the following text and answer the following questions on the basis of the same: Amit has a packet of Candies. It consists of 288 candies. He arranges the candies in a way that first row contains 3 candies, second row has 5 and third row has 7 and so on.

Q. How many rows are there?

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 24
The A.P. is 3, 5, 7, ................

⇒ 288 = n [3+(n−1)]

⇒ 288 = n2 + 2n

⇒ n2 + 2n − 288 = 0

⇒ n2 + 18n − 16n − 288 = 0

⇒ n(n + 18) − 16(n + 18) = 0

⇒ (n + 18)(n − 16) = 0

⇒ n = 16

OSSSC TGT Science PCM Mock Test - 7 - Question 25

Find the circumference of the circle, whose area is 144π cm2

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 25

The area should be 144π,
 ,Area of the circle= πr2
144π = πr2
r = 12cm
Circumference=2πr = 24πcm

OSSSC TGT Science PCM Mock Test - 7 - Question 26

Let f (x) = x sin 1/x, x ≠ 0, then the value of the function at x = 0, so that f is continuous at x = 0, is

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 26

f(0) = lim(x→0) x sin (1/x)
​We know ∀ x ∈ R,sin (1/x) ∈ [−1,1]
Hence, f(0) = lim(x→0) xsin(1/x) 
= 0

OSSSC TGT Science PCM Mock Test - 7 - Question 27

 f(x) = 1 + 2x2 + 4x4 + 6x6 + ................+ 100x100 is polynomial in a real variable x, then f(x) has

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 27

f(x) = 1 + 2x2 + 4x4 +...............+ 100x100
= f’(x) = 4x + (4)2 x3 + (6)2 x5 +......................+ (100)2 x99
f’(x) = x[(2)2 + (4)2 x2 + (6)2 x4 +....................+ (100)2 x98
f’(x) = 0(only one minimum)

OSSSC TGT Science PCM Mock Test - 7 - Question 28

Locus of the middle points of the parallel chords with gradient m of the rectangular hyperbola xy = c2 is

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 28

Let middle point of chord is P(h,k)
Thus equation of chord with mid point P is,  kx+hy=2hk
Given slope of this chord is m
⇒ −k/h = m
⇒k+mh=0
Thus locus of P(h,k) is, y+mx=0
 

OSSSC TGT Science PCM Mock Test - 7 - Question 29

If tan x = tan α , then the general solution of the equation is

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 29

According to Torricelli's Theorem velocity of efflux i.e. the velocity with which the liquid flows out of a hole is equal to √2gh where h is the depth of the hole below the liquid surface.
Lets say side of the cube is a, so we have

When cubical box is half empty, height of wine surface above the spout is half of the diagonal of the cube's face, i.e.

Now the speed of the wine from the spout is 

OSSSC TGT Science PCM Mock Test - 7 - Question 30

If 2 cos(A + B) = 1, and 2 sin(A –B) = 1 then the values of A and B are

Detailed Solution for OSSSC TGT Science PCM Mock Test - 7 - Question 30

2 cos(A + B) = 1
cos(A + B) = ½
cos(A + B)=cos 60
A+B=60   …(1)
2 sin(A – B) = 1 
sin(A - B)=½
sin(A - B)=sin 30
A-B = 30    …(2)
Adding 1 and 2
2A = 90
A = 45
B = 15

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