Indian Air Force Agniveer Science Subject Mock Test - 1 - Indian Air Force Agniveer Vayu MCQ

• The scientific method is a series of steps followed by scientific investigators to answer specific questions about the natural world.
• It involves making observations, formulating a hypothesis, and conducting scientific experiments.
• Scientific inquiry starts with an observation followed by the formulation of a question about what has been observed.
• The steps of the scientific method are as follows:

Distance travelled in the nth second is given by 

put u = 0,  

Let the two stones meet at time t.
for the first stone,

for the second stone,

Displacement is same
∴ S₁ = S₂

A communications satellite is in a GEO (geostationary equatorial orbit) with a period of 24 hours. The spin rate ω_s about its axis of symmetry is 1 revolution per minute, and the moment of inertia about the spin axis is 550 kg · m².

The second law of thermodynamics gives a fundamental limitation to the efficiency of a heat engine and the coefficient of performance of a refrigerator. It says that the efficiency of a heat engine can never be unity or 100%, this implies that the heat released to the cold reservoir can never be made zero.
For a refrigerator the second law says that the coefficient through performance can never be infinite, this implies that the external work can never be zero.

At 0K temperature we know that there is no molecular motion, that is the KE of the particles gets 0. Thus we can say the combined KE of a gaseous system is zero, but as there combined mass cant be zero thus the combined of the square of velocities of the particles is zero, which means that the root mean square velocity of the gas is zero.

As the electric field in the z-direction is uniform, equipotential surfaces are in xy plane. Hence the potential for given z is constant on x-y plane, for any x in this plane and for any y in this plane. So all are correct.

Kirchhoff’s loop rule is based on the principle of conservation of energy. The work done in transporting a charge in a closed loop is zero. The algebraic sum ( since potential differences can be both positive and negative) of potential differences around any closed loop is always zero.

• An electric field exists in the electrolyte between the positive and negative terminals of the battery.
• In the external circuit, the current flows from the positive electrode to the negative electrode.
• To maintain continuity, in the electrolyte, the current (positive charges) flow from the negative electrode (lower potential) to the positive electrode (higher potential).
• Work done by the source in taking unit positive charge from lower to higher potential is called electromotive force.

Explanation:for electromagnetic induction magnet and coil both may move but relative motion between must be present

In Optics, the angle of incidence to which the angle of refraction is 90° is called the critical angle. The ratio of velocities of a light ray in the air to the given medium is a refractive index. Thus, the relation between the critical angle and refractive index can be established as the Critical angle is inversely proportional to the refractive index.
Critical Angle and Refractive Index
The relationship between critical angle and refractive index can be mathematically written as –
SinC=1/μ_a^b
μ_a^b =1/SinC
Where,
C is the critical angle.
μ is the refractive index of the medium.
a and b represent two mediums in which light ray travels.
 

Moderator used in nuclear r eactor are graphite and heavy water.

We know, 
cosA cosB + sinA sinB = cos(A-B)

cos 68° cos 8° + sin 68° sin 8° = Cos (68-8) = Cos60°
=1/2

3sin^-1(x) = sin^-1(3x - 4x^3) when -1/2<=x<=1/2
Definitely 0.4 comes in this range of x and so

3sin^-1(0.4) = sin^-1[3*0.4 - 4*0.4^3]
3sin^-1(0.4) = sin^-1[1.2 - 4*0.064]
3sin^-1(0.4) = sin^-1[1.2 - 0.256]
3sin^-1(0.4) = sin^-1[0.944]

Finally , sin(3sin^-1(0.4)) = sin{sin^-1(0.944)} = 0.944

No. of ways of selecting two flags out of four = 4C2
So, total possible different signals generated =  4C2×2!
⟹ 6×2=12

The given series is: 1,2,4,7,11,...
Difference between second and first term = 2 - 1 = 1
Difference between third and second term = 4 - 2 = 2
Difference between fourth and third term = 7 - 4 = 3
Difference between fifth and fourth term = 11 - 7 = 4
Difference between sixth and fifth term = 16 - 11 = 5

The circle intercept the co-ordinate axes at a and b. it means x - intercept at ( a, 0) and y-intercept at (0, b) .
Now, we observed that circle passes through points (0, 0) , (a, 0) and (0, b) .
we also know, General equation of circle is
x² + y² + 2gx + 2fy + C = 0
when point (0,0)
(0)² + (0)² + 2g(0) + 2f(0) + C = 0
0 + 0 + 0 + 0 + C = 0
C = 0 -------(1)
when point (a,0)
(a)² + (0)² + 2g(a) + 2f(0) + C = 0
a² + 2ag + C = 0
from equation (1)
a² + 2ag = 0
a(a + 2g) = 0
g = -a/2
when point ( 0, b)
(0)² + (b)² + 2g(0) + 2f(b) + C = 0
b² + 2fb + C = 0
f = -b/2
Now, equation of circle is
x² + y² + 2x(-a/2) + 2y(-b/2) + 0 = 0 { after putting values of g, f and C }
x² + y² - ax - by = 0
As we know that, a=2, b=4
x^2 + y^2 - 2x - 4y = 0

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

Putting xⁿ = t so that n x^n–1 dx = dt

The given sentence is in active form of simple past tense. The structures for active/passive voices are:
Active: Subject + verb (IInd form) + object.
Passive: Object + was/were + verb (IIIrd form) + by + subject.
So, with the help of the above structures, we can convert the given sentence into passive voice:
An application was written by him.

The answer can be referred from third paragraph of the passage where it is mentioned that “We need to talk, write, debate, discuss and deliberate as much as possible on questions relating to the environment. At the same time, it is vital to encourage research and innovation on subjects relating to the environment. This is when more people will know about the pressing challenges of our times and ways to mitigate them.” 

• Conformity - Compliance with standards, rules, or laws
• Synchronicity - The simultaneous occurrence of events that appear significantly related but have no discernible causal connection.
• Conflict - A serious disagreement or argument, typically a protracted one
• Vendetta - A prolonged bitter quarrel with or campaign against someone
• Altercation - A noisy argument or disagreement, especially in public

A gerund is the –ing form of a verb that functions the same as a noun. For example, “Running is fun.” In this sentence, “running” is the gerund. An infinitive usually begins with the word “to” and is followed by the base form of a verb.
Both the objects of the sentence should either be in gerunds or infinitives.

• Let's find out the correct meaning and usage of the given idiom-
• A whale of a time: Have a great time and really enjoy yourself.
  • Example-"I had a whale of a time at the water park with my family and plan to go again in sometime."      

​Hence,Option 2 describes the given idiom correctly.

• A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, spatial relationships, or to introduce an object. 
  • For eg.-  "in," "at," "on," "of," "to", etc.
• The preposition 'through' here can be used to indicate that the book has undergone fifteen editions.
• We will therefore use 'through' to fill in the blank.
• The complete sentence will be: The book has passed through fifteen editions.

Hence, option 4 is the correct answer.

• When a title/post/position is followed by the person's name who holds that title, article 'the' is not used.
  • Ex: The President Trump has visited India.
• When a title/post/position refers to the person who holds it, but without name, article 'the' is used.
  • Ex: The Prime Minister talked to him.
• In the first blank, the name of the person with title is mentioned, therefore, there is no need to use article.
• In the second blank, the title is mentioned without the name of title holder, therefore, 'the' should be used.

Therefore, the correct answer is option 2).
Complete sentence: Prime minister Modi launched this scheme for labourers. The Chief minister of Uttar Pradesh has done great work.

• The error lies in part 'I'll read the rest of thirty' of the sentence.
• "Rest of the things" is used when we do not know the quantity of things.
  • Example: I will wash the rest of the clothes tomorrow.

• On the other hand, "Remaining" is used when the quantity of things is known to us.

  • Example: I will wash the remaining three shirts tomorrow.

• ​Hence, "I'll read the rest of thirty"​ should be replaced by "I'll read the remaining thirty​" to make the sentence grammatically correct.

Correct sentence: I've read twenty pages today, I'll read the remaining thirty pages tomorrow.

• Let's consider the following statements from the above passage.
  • It is possible to give wedding presents, birthday and Christmas presents, without any thought of affection at all, they can be ordered by postcard; but the unbirthday present demands the nicest care.
  • It is therefore the best of all, and it is the only kind to which the golden rule of present-giving imperatively applies
• From the highlighted part of the above statements it is clear that the passage suggests the ‘unbirthday’ present is the best of all because It’s choice needs the utmost care.
• Thus, as per the above explanation, the correct answer is "It’s choice needs the utmost care"

Correct answer: It’s choice needs the utmost care