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:

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.

Equation of SHM particle: 
Y=a sinωt
V=aω sinωt
V_max = aω
So the velocity is maximum at mean position

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.

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

The plum pudding model is one of several scientific models of the atom. According to J.J. Thomson atomic models the positive particles in the atom form something like the "batter" in a plum pudding, while the negative electrons are scattered through this "batter".

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

Explanation:The addition of pentavalent impurities such as antimony, arsenic or phosphorous contributes free electrons, greatly increasing the conductivity of the intrinsic semiconductor.

x is 3 units to the right from (0, 4, 5)
y is 4 units upwards from (3, 0, 5)
z is 5 units inwards from (3, 4, 0)
Note that the x-axis has the equation ‘y=0, z=0’, because the axis is horizontal and always has a y and z values of 0 for all x.
Therefore, the distance of point P(3,4,5) from X-axis is the hypotenuse of the triangle formed by the upward and inward movement along y and z-axis, which can be found using Pythagoras’ Theorem:
sqrt(5² + 4² ) = sqrt(41)
The distance is the square root of 41.

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

We have, 4x + 8y + z – 8 = 0 and y + z – 4 = 0. Let be the angle between the planes, then 

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

Two vectors are equal if their corresponding components are equal.
Hence, 2x = 3
or x = 3/2
and 2x = y
or y = 2 * 3/2
y = 3

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.

• 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

• Reverence means the quality of being faithful and dependent.
• Dedication means the quality of being addicted or committed to a task or purpose.
• Allegiance means loyalty or commitment to a superior or to a group or cause.
• Treachery means betrayal of trust.
• Loyalty means the quality of being loyal.

• Gauche: lacking social polish; lacking social grace and assurance
• Use the word gauche when you want to call something tacky, graceless, tactless, rude, boorish, or awkward and foolish.
• For example: His loud talking at the opera marked him as gauche and uncultured.
• Synonyms: graceless, unpolished, inelegant, clumsy, awkward, ungraceful
• Antonyms: assured, calm, graceful, suave, urbane

And the other meanings:

• Naive: Without enough experience of life and too ready to believe or trust other people
• Guffaw: To laugh loudly, especially at something silly
• Grandiloquent: Complicated or formal words in speech or writing in order to impress people

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 see the meanings of the given words-

• Candour- is a noun that means the quality of being open and honest.
  • Example: Mark's candour was appreciated by his colleagues when he admitted his mistake in the report and took responsibility for it.
• Evasiveness- tending to avoid commitment or self-revelation.
  • Example: When asked about his plans for the weekend, Jack responded with evasiveness, saying he might be busy without giving any specific details.
• Frankness- is a noun that means candid and honest.
  • Example: Sarah appreciated her friend's frankness when he told her directly that her new haircut didn't suit her.
• Depth- is a noun that means the quality of being intense or extreme.
  • Example: The painting had such depth that it felt like you could step into the scene and explore the intricate details.
• Sincerity- is a noun that means Free from deceit.
  • Example: Tom thanked his teacher with sincerity for the guidance and support provided throughout the academic year.​

So according to the meaning of the given words, the correct antonym of the word is Option 1 i.e. Evasiveness. 

• 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.

• 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.
• From the highlighted part of the above statement, it is clear that the author says that wedding, birthday and Christmas presents,may not always be given with any thought of affection."
• Thus, as per the above explanation, the correct answer is "May not always be given with any thought of affection"

Correct Answer: May not always be given with any thought of affection

• 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