Indian Air Force Agniveer Science Subject Mock Test - 7 - Indian Air Force Agniveer Vayu MCQ

⇒ u_x = 3 units, u_y = 4 units

a_x = 0.4 units, a_y = 0.3 units

The sign of acceleration does not tell us whether the particle's speed is increasing or decreasing. The sign of acceleration depends on the choice of the positive direction of the axis.
For example: If the vertically upward direction is chosen to be positive direction of the axis, the acceleration due to gravity is negative. If a particle is falling under gravity, this acceleration though negative results in increase in speed.

Here, m = 2 × 10⁴kg
Initial acceleration, a = 5ms^-2
Initial thrust = upthrust required to impart acceleration a + upthrust required to overcome gravitational pull
∴ F  = m(a + g) = (2 × 10⁴kg)(5 + 10)ms⁻²
= 3 × 10⁵N

An isobaric expansion of a gas requires heat transfer to keep the pressure constant. An isochoric process is one in which the volume is held constant, meaning that the work done by the system will be zero.

The internal energy of a system decreases by the same amount as the work done by the system.
 
Change in internal energy=work done+heat exchange
change in internal energy=work done if process has no heat exchange, i.e. it's adiabatic and the temperature must decrease
 

KE = f/2 KT

With a known resistance in one of the gaps, the meter bridge is used to determine the value of unknown resistance by the formula. 

Explanation : In this case we would be obtaining electrical energy continuously without doing any work.

E is the electric field vector, and B is the magnetic field vector of the EM wave. For electromagnetic waves E and B are always perpendicular to each other and perpendicular to the direction of propagation. Electromagnetic waves are transverse waves. The wave number is k = 2π/λ, where λ is the wavelength of the wave.

The correct answer would be option B. Applying a very strong magnetic field.
Applying a very strong magnetic field to a metal we don’t know the electron emission.

Most nuclei are approximately spherical. The average radius of a nucleus with A nucleons is R = R₀A^1/3, where R⁰ = 1.2*10^-15 m. The volume of the nucleus is directly proportional to the total number of nucleons. This suggests that all nuclei have nearly the same density.

The correct answer is d)

A={2,3,4,8,10},B={3,4,5,10,12},C={4,5,6,12,14}

To find : (A∩B) ∪(A∩C)
A∩B = elements common in sets A and B ⟹A∩B={3,4,10} 
A∩C = elements common in sets A and C ⟹A∩C={4}
Now, 
(A∩B)∪(A∩C)=elements in (A∩B) and (A∩C)
(A∩B)∪(A∩C)={3,4,10}∪{4}
(A∩B)∪(A∩C)={3,4,10}.

nP0 
= n!/(n-0)! 
=> n!/n!  = 1

In case of negative or fractional power, expansion (1+x)^n is valid only when |x| < 1
(6 - 3x)^-1/2
= (6^-1/2 (1 - x/2)^-1/2)
So, this equation exists only when |x/2| < 1
|x| < 2

x² + y² - 4x - 6y + 4 = 0

There are 2 rows and 5 columns in the matrix.
Therefore, order of the matrix: 2 x 5.

8-6 = 4x-2x
⇒ x = 1

Degree of a differential equation, when the equation is polynomial equation in y′ isHighest power (positive integral index) of the highest order derivative in the given differential equation.

There are 4 aces in a pack. So, the probability of drawing an ace = 4/52 
= 1/13 
and the probability of drawing a card other than ace = 12/13. 
Hence, the probability that ace doesn't appear in first 26 draws = (12/13)²⁶

The correlation between x and y is positive correlation because it is a correlation where if one variable increases, the other also increases, and if one variable decreases, the other also decreases.

Flagitious : Criminal.
Innocent : Not guilty of a crime or offence.
Vapid : Offering nothing that is stimulating or challenging.
Ignorant : Lacking knowledge or awareness in general.
Frivolous : Not having any serious purpose or value.

Antonym of Flagitious is Innocent.

This statement is wrong: If you will ask him

Correct Statement will be: If you ask him

This sentence is comparative. X does more of A than Y does of B. What is the X? The United States. What is the Y? North Korea. The simplest structure of an English sentence is to start with the subject and the verb. D start in this fashion. A and C are passive. The use of ‘they’ in B is incorrect as it is unclear to what ‘they’ refers. Choice D is the correct answer.

According to the given context of the sentence, it is regarding the fact that the delivery partners need to be aware of the practical nature of the job and they join the workforce once they accept the same. That is why it is made a point to them to understand what they have to do and then only they are allowed to enter the workforce. Among the given options, the words in Option D give us the correct pair of words that will fit in the given blanks. Other words do not fit in the blanks and can be eliminated.

This makes Option D the correct choice among the given options.

According to the given context of the sentence, it is regarding the fact that the present phase would come with another phase of weak monsoon during which the rains are within the foothills of the Himalayas. It is stated that the present phase would be followed by a weak phase of monsoon during which the rains get confined to the hills. Coming to the given options, we can only choose Option D since it provides us the correct implication of the given sentence in both the cases. Other words are irrelevant in the context of the sentence.

This makes Option D the correct choice among the given options.

There are two possible sentences to start the paragraph: A and C. Of these, A, which states that the metric system was created during the French Revolution, is more general. C states the reason behind the creation of the system and makes a reference to 'the old regime'. This makes sense only when C follows A. So, A is the first sentence of the paragraph.

D starts off with 'at this time'. The time referred to here is the time of the French Revolution. The only sentence which talks of the time of the French Revolution is A. So, D follows immediately after A. During the time of the French revolution, the ideology of liberty, equality, fraternity was embraced by scientists as well.

D leads on to C, which explains how scientists with the new ideology tried to create a metric system to liberate the common man from the inconsistent weights and measures of the old regime.

Now, B starts off stating that 'it' was a utopian project. Clearly, the pronoun 'it' here refers to the metric system. The only sentence with the metric system as the subject is C. B adds to C, explaining why the creators of the metric system wanted that a shared system of weights and measures: they thought that it would allow for the free exchange of goods and information. So, B follows C.

So, ADCB is the right order.

The question is " Arrange the sentences in the correct order "
The order is ADCB

Hence, the answer is ADCB
Choice B is the correct answer.

lexicon (N.) : a list of words on a particular subject or in a language in alphabetical order

glossary (N.) : a list of technical/special words, especially those in a particular text, explaining their meanings

catalogue (N.) : a complete list of items, for example, of things that people can look at/buy