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


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30 Questions MCQ Test Indian Air Force Agniveer Vayu Group X Mock Test Series 2024 - Indian Air Force Agniveer Science Subject Mock Test - 4

Indian Air Force Agniveer Science Subject Mock Test - 4 for Indian Air Force Agniveer Vayu 2024 is part of Indian Air Force Agniveer Vayu Group X Mock Test Series 2024 preparation. The Indian Air Force Agniveer Science Subject Mock Test - 4 questions and answers have been prepared according to the Indian Air Force Agniveer Vayu exam syllabus.The Indian Air Force Agniveer Science Subject Mock Test - 4 MCQs are made for Indian Air Force Agniveer Vayu 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Indian Air Force Agniveer Science Subject Mock Test - 4 below.
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Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 1

According to Einstein’s theory, mass and energy are related as:

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 1
  • 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)

     

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 2

A bus is moving with a speed of 10 ms–1 on a straight road. A scooterist wishes to overtake the bus in 100 s. If the bus is at a distance of 1 km from the scooterist, with what speed should the scooterist ch ase the bus? [2009]

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 2

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

=   10 + 10 = 20 ms–1

∴ velocity of scooter = 20 ms–1

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Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 3

A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from rest at the top. How much time does it take to cover one-fourth distance starting from rest at the top

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 3

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 4

 A stone of mass 1 kg is lying on the floor of a train which is accelerating with 1 m s-2. The net force acting on the stone is

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 4

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 5

An explosion blows a rock into three parts. Two parts go off at right angles to each other. These two are, 1 kg first part moving with a velocity of 12 ms–1 and 2 kg second part moving with a velocity of 8 ms–1. If the third part flies off with a velocity of 4 ms–1, its mass would be: [2009]

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 5

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 6

When the salt is added to water, the surface tension of liquid mixture will

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 6

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 7

In an adiabatic process gas is reduced to quarter of its volume. What would happen to its pressure? Given ratio of specific heats γ= 2

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 7

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

=> P1(1)2 = P2(4)2

P1/P2 = 16

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 8

According to kinetic theory of gases, 0K is that temperature at which for an ideal gas

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 8

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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 9

Flow of charges in direction of electrons is called 

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 9
  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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 10

Meter Bridge is based on the principle of

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 10

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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 11

The cyclotron frequency vc is given by 

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 11

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 12

Which of these mechanisms can be used to produce electromagnetic waves?

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 12

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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 13

Work function of a metal is the

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 13

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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 14

The mass number of a nucleus is [2003]

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 14

In case of hydrogen atom, Mass number = atomic number

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 15

cosA + cos (120° + A) + cos(120° – A) =

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 15

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 16

Find the points on z-axis which are at a distance  from the point (1, 2, 3).

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 16

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)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 17

Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 17

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 18

The equation y2 + 3 = 2(2x+y) represents a parabola with the vertex at

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 18

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)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 19

Determine whether the given planes are parallel or perpendicular, and in case they are neither, find the angles between them.7x + 5y + 6z + 30 = 0 and 3x – y – 10z + 4 = 0

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 19



Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 20

The equation of the tangent to the curve y=(4−x2)2/3 at x = 2 is

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 20

, 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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 21

The value of  is:

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 21

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)

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 22

Find a particular solution of   = y tanx; y = 1 when x = 0

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 22


Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 23

If the magnitude of the position vector is 7, the value of x is:​

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 23


|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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 24

If in moderately asymmetrical distribution mode and mean of the data are 6 μ and 9 μ respectively, then median is

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 24

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

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 25

Find out the Synonym of the following word:

ADVERSITY

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 25
  • 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 
Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 26

MORTAL

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 26

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.

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 27

Read the each sentence to find out whether there is any grammatical error in it. The error, if any will be in one part of the sentence. The letter of that part is the answer. If there is no error, the answer is 'D'. (Ignore the errors of punctuation, if any).

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 27

show a mind fully alert to

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 28

The year 1973… (1)… a watershed in the economic….(2)…..of young male high school graduates in the United States. In the twenty four years…(3).. to this date, the medium income of 25 to 34 year old males, ….(4)… highest level of educational attainment was a high school diploma, ……(5)…. from $14,483 to $24,482 (in constant 1987 dollars.) This increase was the ….(6)… of the rapid growth of the U.S. economy..(7)… this period. As the expression goes, the rapidly growing economy was like a rising tide that…(8)… all boats. This rapid…(9)… in income permitted several generations of young high-school educated men to enjoy a higher standard of living….(10)…their fathers had.

Q. Find the word most appropriate for Blank No. 9

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 29

Direction: Each question below has one blank, which is indicating that something has been omitted. Find out which option can be used to fill up the blank in the sentence in the same sequence to make it meaningfully complete. 

Buying a home is one of the most _____________ financial decisions we need to take. 

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 29

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. 

Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 30

Directions: Read the passage and answer the questions that follow:

Development is about expanding the capabilities of the disadvantaged, thereby improving their overall quality of life. Based on this understanding, Maharashtra, one of India’s richest States, is a classic case of a lack of development which is seen in its unacceptably high level of malnutrition among children in the tribal belts. While the State’s per capita income has doubled since 2004, its nutritional status has not made commensurate progress.

Poor nutrition security disproportionately affects the poorest segment of the population. According to NFHS 2015-16, every second tribal child suffers from growth restricting malnutrition due to chronic hunger. In 2005, child malnutrition claimed as many as 718 lives in Maharashtra’s Palghar district alone. Even after a decade of double digit economic growth (2004-05 to 2014-15), Palghar’s malnutrition status has barely improved.

In September 2016, the National Human Rights Commission issued notice to the Maharashtra government over reports of 600 children dying due to malnutrition in Palghar. The government responded, promising to properly implement schemes such as Jaccha Baccha and Integrated Child Development Services to check malnutrition. Our independent survey conducted in Vikramgad block of the district last year found that 57%, 21% and 53% of children in this block were stunted, wasted and underweight, respectively; 27% were severely stunted. Our data challenges what Maharashtra’s Women and Child Development Minister said in the Legislative Council in March — that “malnutrition in Palghar had come down in the past few months, owing to various interventions made by the government.”

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. We calculated a 24-hour dietary diversity score by counting the number of food groups the child received in the last 24 hours. The eight food groups include: cereals, roots and tubers; legumes and nuts; dairy products; flesh foods; eggs; fish; dark green leafy vegetables; and other fruits and vegetables.

In most households it was rice and dal which was cooked most often and eaten thrice a day. These were even served at teatime to the children if they felt hungry. There was no milk, milk product or fruit in their daily diets. Even the adults drank black tea as milk was unaffordable. Only 17% of the children achieved a minimum level of diet diversity — they received four or more of the eight food groups. This low dietary diversity is a proxy indicator for the household’s food security too as the children ate the same food cooked for adult members.

Q. As per the passage, which of the following is/are needed for an adequate meal?
I. Macro and micro nutrients
II. Multiple food groups
III. High level of  Intermittent fasting

Detailed Solution for Indian Air Force Agniveer Science Subject Mock Test - 4 - Question 30

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.

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