Indian Air Force Agniveer Science Subject Mock Test - 4 - Indian Air Force Agniveer Vayu MCQ

• Einstein's equation E = mc² shows that energy and mass are interchangeable.
• Mass-energy equivalence implies that every object possesses small energy even in a stationary position.
• But a stationary object does not have kinetic energy and it possesses potential energy and probable chemical and thermal energy.
• The sum of all these energies is smaller than the product of the mass of the object and the square of the speed of light according to the field of applied mechanics.

Hence, Mass-energy equivalence means mass and energy are the same and can be converted into each other. Einstein related the mass and energy accurately using his theory of relativity. The equation is known as Einstein’s mass-energy equation and it is given below:

E=mc²
Where 

• E = equivalent kinetic energy of the object, 

• m = mass of the object (Kg) and 

• c = speed of light (approximately = 3×10⁸ms^-1)

   

Let v be the relative velocity of scooter w.r.t bus as v = v_S– v_B

=   10 + 10 = 20 ms^–1

∴ velocity of scooter = 20 ms^–1

Here, mass of the stone, m = 1 kg
As the stone is lying on the floor of the train, its acceleration is same as that of train.
∴ Force acting on the stone F = ma = (1kg)(1 m s^-2)
= 1 N

Let two parts of the rock move along x-axis and y-axis respectively.
If M and v be the mass and velocities of third part then
Mv cosθ = 12
Mv sinθ =16

v = 4 m/s

NaCl salts cause an increase of the surface tension and the residence time of interfacial water molecules.

Correct Answer : C

Explanation : The adiabatic condition is given by the relation between pressure volume and temperature volume as:

(PV)γ = constant 

where, γ = Cp/Cv is ratio of the specific heats

These relations suggest that an decrease in volume is associated with increase in temperature

ATQ 

P₁(V₁)γ = (P₂V₂)γ

=> P₁(1)² = P₂(4)²

P₁/P₂ = 16

According to kinetic theory of gases, 0K is that temperature at which for an ideal gas the internal energy is zero because at 0K nearly all molecular motion stops.

1. Current: This is a general term for the flow of electric charge. It can refer to any type of charge flow, not specifically electrons.

2. Electronic current: This specifically refers to the flow of electrons through a conductor.

3. Conventional current: This is the flow of positive charge and is considered to flow from the positive side to the negative side of a power source. Historically, this was defined before the discovery of electrons, so it is opposite to the direction of electron flow.

4. Photonic current: This is not a standard term in electrical engineering or physics. It might refer to currents related to photons in some contexts, but it is not related to the flow of electrons.

So, if you are referring to the flow of electrons specifically, electronic current is the accurate term.

Meter bridge is the application of wheatstone’s bridge. A Wheatstone bridge is an electrical network which is used to calculate the value of unknown resistance.

In cyclotron the centripetal force is balanced by magnetic force, then
qvB = mn²/r ⇒ qBr/m = v
where v = 2πrv_c ∴ v_c = qB/2πm

The electromagnetic waves are produced by vibration of an electric charge. This creates a wave which is both as electric and magnetic components. This way oscillates in perpendicular planes with respect to each other and in a phase.This creates all electromagnetic waves begin with an oscillating charged particle which creates an oscillating electric and magnetic field.

In the photoelectric effect, the work function is the minimum amount of energy (per photon) needed to eject an electron from the surface of a metal.Electrons ejected from a sodium metal surface were measured as an electric current.The minimum energy required to eject an electron from the surface is called the photoelectric work function.
This energy (work function) is a measure of how firmly a particular metal holds its electrons. The work function is important in applications involving electron emission from metals, as in photoelectric devices and cathode-ray tubes.

In case of hydrogen atom, Mass number = atomic number

CosA + Cos(120o-A) + Cos(120°+A)
 cosA + 2cos(120° - a + 120° + a)/(2cos(120° - a - 120° - a)
we know that formula
(cos C+ cosD = 2cos (C+D)/2.cos (C-D) /2)
⇒ cosA + 2cos120° cos(-A)
⇒ cosA+ 2cos (180° - 60°) cos(-A)
⇒ cosA + 2(-cos60°) cosA
⇒ cos A - 2 * 1/2cos A
⇒ cosA-cosA
⇒ 0

Let the point on Z axis be given as (0,0,z).  The distance between (1,2,3) and (0,0,z) is given as [(1)² + (2)² + (3-z)²]^½ = (21)^1/2
5+(3−z)²=21
z²−6z−7=0
z=7,z = −1
Hence points are (0,0,7),(0,0,−1)

She has 6 friends and he wants to invite one or more. That is the same as saying he wants to invite at least 1 of his friends.
 
So, the number of ways he could do this is:
Invite only one friend
Invite any two friends
Invite any three friends
Invite any four friends
Invite any five friends
Invite all six friends
This can be thought of in terms of combinations. Inviting  r  friends out of  n  is same as choosing  r  friends out of  n . So, we can write the possibilities as:
⁶C₁ + ⁶C₂ + ⁶C₃ + ⁶C₄ + ⁶C₅ + ⁶C₆ 
= 6 + 15 + 20 + 15 + 6 + 1 
= 63

y²+3=2(2x+y) represents parabola.
y²+3=4x+2y
y²−2y+3=4x
y²−2y+1+3=4x+1
(y−1)²=4x−2
(y−1)²=4(x−1/2)
So, the vertex of parabola=(1/2,1) and axis is parallel to x axis.
a=1
Focus=(1/2+1,1)
=(3/2,1)

, which does not exist at x = 2 . However , we find that  , at x = 2 . Hence , there is a vertical tangent to the given curve at x = 2 .The point on the curve corresponding to x = 2 is (2 , 0). Hence , the equation of the tangent at x = 2 is x = 2

I = ∫(1+cos²x)/2 dx
⇒ I = 1/2∫(1+cos²x)dx
⇒ I = 1/2∫1dx + 1/2∫cos²xdx
Using the integral formula ∫coskxdx = sinkx/k + c, we have
∫cos² xdx = 1/2x + 1/2(sin²x)/2 + c
⇒ [1/2x + 1/4sin²x](-π/4 to π/4)
=> [-π/8 - π/8] + [1/4sin(-π/2) - 1/4sin(π/2)]
= - 2π/8 + [-¼ - ¼]
= -π/4 -½
= -(π/4 +½)

|a| = (x² + 2² + (2x)²)^1/2
7 = (x² + 2² + (2x)²)^1/2
⇒ 49 = x2 + 2² + 4x²
⇒ 49 = 4 + 5x²
⇒ 5x² = 45
⇒ x² = 9
x = ±3

Median = [mode + 2(mean)]/3
= [6μ+2(9μ)]/3
= 24μ/3
= 8μ

• Meaning of Adversity: A difficult or unpleasant situation.
• Meaning of Failure: Lack of success
• Meaning of Helplessness: Inability to defend oneself
• Meaning of Content: In a state of peaceful happiness 

immortal is correct as the word mortal means (of a living human being, often in contrast to a divine being) subject to death and the word immortal means living forever; never dying or decaying.. Both the words are opposite of each other.

show a mind fully alert to

According to the given context we can see that we are talking about the decision to purchase a home and it is one of the most important and significant decisions in the financial life of a person. Among the given options, we can use the word important to fill the blank and make the sentence meaningful. Other words are irrelevant and can be eliminated from consideration.

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

Refer to:
‘Stunting is caused by an insufficient intake of macro- and micro-nutrients. It is generally accepted that recovery from growth retardation after two years is only possible if the affected child is put on a diet that is adequate in nutrient requirements. A critical aspect of nutrient adequacy is diet diversity, calculated by different groupings of foods consumed with the reference period ranging from one to 15 days.’

As per the highlighted points, I and II are correct while III has not been mentioned in the passage.

Hence, option C is correct.