Indian Air Force Agniveer Science Subject Mock Test - 10 - Indian Air Force Agniveer Vayu MCQ

Concept 

Newton's law of gravitation states "Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centres."

Explanation 

Newton's law of gravitation can be represented mathematically as: F = G x (m₁ x m₂/ r²)

Where:

• F is the force of attraction between the two bodies.
• m₁ and m₂ are the masses of the two bodies.
• r is the distance between the centres of the two bodies.
• G is the gravitational constant, a proportional constant that in the SI system is approximately 6.674 x10^-11N(m/kg)².
• So, if you have two bodies with masses m1 and m2, and they are separated by a distance r, then the force of gravity between them is directly proportional to the product of their masses and inversely proportional to the square of the distance between them,
• Real-world applications of this law include everything from explaining the motion of planets in our solar system to the rolling of a ball down a hill. It's one of the cornerstones of classical physics and is essential in understanding the larger structure of the universe.

The property by virtue of which the free surface of a liquid at rest behaves like an elastic stretched membrane tending to contract so as to occupy minimum surface area is known as surface tension. By the definition of surface tension.

It works on the principle that no machine is 100% efficient. For instance if taking an ideal machine into consideration, work can be completely converted to heat. Now if the conditions are reversed, all heat cannot be converted to equal amount of work until and unless backed up by an external force.

Explanation:

The theory for ideal gases makes the following assumptions

1. Gases consist of particles in constant, random motion. They continue in a straight line until they collide with something—usually each other or the walls of their container.

2. Particles are point masses with no volume. The particles are so small compared to the space between them, that we do not consider their size in ideal gases.

3. No molecular forces are at work. This means that there is no attraction or repulsion between the particles.

4. Gas pressure is due to the molecules colliding with the walls of the container. All of these collisions are perfectly elastic, meaning that there is no change in energy of either the particles or the wall upon collision. No energy is lost or gained from collisions.

5. The time it takes to collide is negligible compared with the time between collisions.

6. The kinetic energy of a gas is a measure of its Kelvin temperature. Individual gas molecules have different speeds, but the temperature and kinetic energy of the gas refer to the average of these speeds.

7. The average kinetic energy of a gas particle is directly proportional to the temperature. An increase in temperature increases the speed in which the gas molecules move.

8. All gases at a given temperature have the same average kinetic energy.

9. Lighter gas molecules move faster than heavier molecules.

We know that if frequency of an external forced  oscillation is equal to the natural frequency of the body, then amplitude of the forced oscillation of the body becomes very large. This phenomenon is known as resonant vibration. Therefore, resonance is an example of forced vibration.

Van de Graff generator- is an electrostatic generator which is devised to produce very high voltage by means of an endless belt collecting electrostatic charge from a source and transferring it to a large isolated metal sphere on which a large change accumulates.

• Both potentiometer and voltmeter are devices to measure potential difference.
• EMF is the terminal p.d between the electrodes of a cell in open circuit, i.e., when no current is drawn from it.
• Potentiometer measures the potential difference using null deflection method, where no current is drawn from the cell; whereas voltmeter needs a small current to show deflection.
• So, accurate measurement of p.d is done using a potentiometer.

60/40 = l/100-l, = R/8

so R=12

now changed position 8 is proportional to l and 12 to (100-l)

8/12 = l/100-l

l = 40ohm

When frequency decreases, capacitive reactance XC​=1/2πνC​ increases and hence impedance in the circuit Z=√(R2+XC2​)​ increases and so current I=V/Z​ decreases. As a result, the brightness of the bulb is reduced.
 

When light moves from 1 medium to another, refraction takes place. And when light enters a denser medium, the ray bends away from normal and meets at a point above the actual point where they would have met, if the medium was absent. So, apparent depth decreases.

Photoelectric effect, phenomenon in which electrically charged particles are released from or within a material when it absorbs electromagnetic radiation. The effect is often defined as the ejection of electrons from a metal plate when light falls on it. In a broader definition, the radiant energy may be infrared, visible, or ultraviolet light, X-rays, or gamma rays; the material may be a solid, liquid, or gas; and the released particles may be ions (electrically charged atoms or molecules) as well as electrons.

(cosx−sinx)/(cosx+sinx) = (1−tanx)/(1+tanx) 
tan(A−B) = (tanA−tanB)/(1 + tanAtanB)
= tan(π/4−x)
putting this value in question.
tan⁻¹tan(π/4−x)
π/4−x.

²⁰C_r = ²⁰C_r+2
ⁿC_r = ⁿC_n-r
=> r + (n−r) = n
⇒ r + r + 2 = 20
⇒ 2r = 18
⇒ r = 9
^rC₆ = ⁹C₆
⇒ 9!/(6!*3!)
= 84

T_(r+1) =  ⁿC_r x^n-r a^r
T_(r+1) =  ^n-5Cr xn-5-r (1/x⁴)^r
= ^n-5C_r x^n-5-r (1/x^4r)
= ^n-5C_r x^n-5-5r 
=> n - 5 - 5r = 2r
=> n - 2r = 5(r + 1)

Sum (S_n) = a x (rⁿ -1)/(r-1)
5460 = 4 x (4ⁿ -1)/3
16380 = 4ⁿ⁺¹ - 4

16384 = 4ⁿ⁺¹

4⁷ = 4ⁿ⁺¹

7 = n + 1

n = 6

The possible orders in which the matrix with 6 elements can be formed are 2×3, 3×2, 1×6, 6×1.

Therefore, the possible orders pairs are (2,3), (3,2), (1,6), (6,1).

Thus, (3,1) is not possible.

Therefore, the correct answer is D.

The modulus function has V-shaped graph,which means that it has only one minima.

Let I=∫(0 to k) 1/[1 + 4x²]dx = π8
Now, ∫(0 to k) 1/[4(1/4 + x²)]dx
= 2/4[tan⁻¹ 2x]0 to k
= 1/2tan^-1 2k − 0 = π/8
1/2tan⁻¹ 2k = π8
⇒ tan⁻¹ 2k = π/4
⇒ 2k = 1
∴ k = 1/2

The two curves y² = 4x and y = x meet where x² = 4x i.e ..where x = 0 or x = 4 . Moreover , the parabola lies above the line y = x between x = 0 and x = 4 . Hence , the required are is :

A vector whose initial and terminal points coincide has no particular direction and 0 magnitude. Therefore, it is called zero vector.

Commissioned means come to starts and terminated means comes to end. Commission means mission or we can also called as a special group delegated to consider some matter. Termination means a coming to end of a contract period. The antonym for the commission is probit.

This statement is wrong: A ten rupee's note will not buy you

Correct Statement will be: A ten rupee note will not buy you.

available and that too at cheaper prices.

So Option D is correct

There are two possible constructions after ‘require’ One is ‘someone requires someone else to do something’. The other uses the subjunctive. For example, ‘I require that you be on time’. The subjunctive is always introduced by ‘that’. Choice A does not fit the correct subjunctive pattern as it uses ‘should’, instead of just the infinitive of the verb without ‘to’. B is grammatically correct but it is passive. C is passive and uses ‘retaining’ instead of ‘retention’. D is also grammatically correct and is shorter and simpler than B and is therefore the correct answer. It is active rather than the passive B.

As per the given context of the sentence, it is regarding the fact that the company has decided to do something regarding the Q1 results of the company. The company has also informed the same to the exchanges as per the requirement of the regulatory authority. Now for the first blank we can see that filing can be used as the company must have filed something in the exchanges whereas the second blank should be perfect for the word extend. Other words are not relevant in the context of the sentence.

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

Refer to, “After a worrying pre-monsoon phase between March and May, when rainfall was scarce, the current robust season in most parts of coastal, western and central India augurs well for the entire economy.”

It is clear from the passage that the monsoon will be robust now after a worrying start to the monsoon season in the country. Now most of the areas in the country will have adequate rainfall. It is taking place in certain areas whereas there will be rainfall in the other areas in the days to come. There is no prediction of any kind of drought in the country this year. Among the given options, we can see that Option B gives us the correct information whereas the rest are irrelevant and hence eliminated from consideration.

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

This is stated in the passage that the response of the states towards the importance of flood control measures has not been that great. They are mainly indifferent to such things and that is why we have seen floods in various areas especially in the urban areas such as Chennai in the recent times. The author is of the opinion that such floods will actually be very harmful for the cities. Among the given options, we have Option D which gives us the correct information regarding the response of the states whereas the rest are eliminated as they do not follow from the passage.

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

The one word substitution is Polygamy.

Misogamy : the hatred of marriage.
Bigamy : the offence of marrying someone while already married to another person.
Monogamy : the practice of marrying or state of being married to one person at a time.
Polygamy : the practice or custom of having more than one wife or husband at the same time.