Indian Air Force Agniveer Science & Other than Science Mock Test - 9 - Indian Air Force Agniveer Vayu MCQ

No external force is acting, there fore, momentum is conserved.
By momentum conservation, 50u + 0.5 × 2 = 0 where u is the velocity of man.

Negative sign of u shows that man moves upward.
Time taken by the stone to reach the ground

∴ when the stone reaches the floor, the distance of the man above floor = 10.1 m

Average acceleration

< a > = 5 m/sec²

(t₁ = 1 minute; t₂ = 30 second given)

Concept:

Newton's law of gravitation: The force of attraction between any objects in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.

• The force acts along the line joining the two bodies.
• The gravitational force is a central force that is It acts along the line joining the centers of two bodies.
• It is a conservative force. This means that the work done by the gravitational force in displacing a body from one point to another is only dependent on the initial and final positions of the body and is independent of the path followed.

• The moon revolves around the earth in a circular orbit (not perfectly circular). Sun exerts a gravitational force on both, the earth and moon. The major force acting on the moon is due to the gravitational force of attraction of the sun and earth and the moon is not always on the line joining the sun and earth. 
• Two forces acting on the moon have different lines of action or the forces are not central, so it's motion will not be strictly elliptical.

Hence, option (2) is the correct answer.

The pressure law states that for a constant volume of gas in a sealed container the temperature of the gas is directly proportional to its pressure. This can be easily understood by visualising the particles of gas in the container moving with a greater energy when the temperature is increased.

No current passes through the Galvanometer in the bridge balance condition.Therefore, the resistance between B and D is infinite.

Current flows in a conductor due to the flow of negatively charged electrons. However, the direction of conventional current is taken to be opposite to the direction of flow of electrons. It can therefore be considered as the direction in which positive charges move.

Light is refracted when it crosses the interface from air into glass in which it moves more slowly. Since the light speed changes at the interface, the wavelength of the light must change, too. The wavelength decreases as the light enters the medium and the light wave changes direction

According to liquid drop model of nucleus, an excited nucleus breaks into lighter nuclei just like an excited drop breaks into tiny drops.

Concept of holes in the semiconductor:

1. When an electron is removed from a covalent bond, it leaves a vacancy behind. An electron from a neighbouring atom can move into this vacancy, leaving the neighbour with a vacancy. In this way the vacancy formed is called a hole (or cotter), and can travel through the material and serve as an additional current carriers.
2. A hole is considered as a seat of positive charge, having magnitude of charge equal to that of an electron.
3. Holes acts as a virtual charge, although there is no physical charge on it.
4. Effective mass of hole is more than an electron.
5. Mobility of hole is less than an electron.

As the opinions of different person is different about the intelligent student. So, we can't exactly have the same student's name in a set, hence it is not a well-defined collection.

Let sin^-1⁡x = y.
From ∆ABC, we get

y = sin^-1⁡x
= 

∴cot⁡(sin^-1⁡x)

=  

There are two different lines that make equal angles with the coordinate axes.
The are y = x line and y = - x line.
The y = x line divides the 1st and 3rd quadrant equally and makes a 45° angle with the positive direction of the x-axis and the y-axis and negative direction of the x-axis and the y-axis.
Again, the line y = - x divides the 2nd and 4th quadrant equally and makes a 45° angle with the positive direction of the x-axis and negative direction of the y-axis & negative direction of the x-axis and positive direction of the y-axis.

nPr = 10
nPr = n!/(n-r)!
10 = n!/(n-1)!
10 = [n!.(n-1)!]/(n-1)!
n! = 10

 By formula 
Sn = n/2(a+l)

Given lines are 4x + 3y = 11 and 4x + 3y = 15/2
Distance between two parallel lines = |c₁ - c₂ / √a² + b²|
= | 11 - 15/2/ √16 + 9 |
= | 7 / 2 × 5 |
= 7/10

The equation of the line which passes through the point (1, 2, 3) and is parallel to the vector  Let vector   and vector 

The information is represented in the form of a 3 X 2 matrix as follows:

The entry in the third row and second column represents the number of women workers in factory III.

9(2x+5) - 3(5x+2) = 0
18x+45-15x-6 = 0
3x = -39
x = -13

Correct Answer :- C

Explanation : lt(x->a-) -|x-a|/x-a

= - |-a-a|/(-a-a)

= -|-2a|/(-2a)

= -2a/(-2a)

= 1

∫(1 to 3) x/(1+x²) dx
Put t = 1+x²
dt = 2x dx
= 1/2∫( 1 to 3) dt/t
= ½  log[t](1 to 3)
= ½[log(1+x²)](1 to 3)
= ½[log 10 - log 2]
= ½ (log(10/2)]
= ½[log 5]
= log(5)^½

Given, Point A (2,-3,7)

Point B (1,3,-4)

Let vector in the direction of AB be C.

∴ C = B - A

⇒ (1,3,-4) - (2,-3,7)

⇒ ( 1-2 , 3+3 , -4-7 )

⇒ (-1,6,-11)

⇒ -1i + 6j -11k
Magnitude of vector C
|C| = √(-1)² + 6² + (-11)²
⇒ √1+36+121
⇒ √158

Unit vector = (Vector)/(Magnitude of vector)
Unit vector C = (C vector)/(Magnitude of C vector)  = (-1i + 6j -11k)/√158

The relationship between the mean, quartile and the standard deviation are as follows:
Mean Deviation is the mean of all the absolute deviations of a set of data.
Quartile deviation is the difference between “first and third quartiles” in any distribution.
Standard deviation measures the “dispersion of the data set” that is relative to its mean.
Mean Deviation = 4/5 × Quartile deviation
Standard Deviation = 3/2 × Quartile deviation

Meaning of corpulent: Fat

Similar Words: 

• obese
• overweight
• plump

Additional Information:

• Meaning of Lean: to move the top part of your body and head forwards, backward or to the side
• Meaning of Gaunt: very thin because of hunger, illness, etc.
• Meaning of Emaciated: extremely thin and weak because of illness, lack of food, etc.

Refer to:

‘Most of these outfits continue to adopt earlier methodologies. These have proved no less effective than those followed by the IS. The terror attack on a mosque in North Sinai, Egypt in November this year, which killed over 230 persons, is one such example. In December, the TTP was responsible for a terror attack on an agricultural training institute in Peshawar, Pakistan. Differences among terror outfits, do not, however, preclude a complicated pattern of relationships when it comes to operational aspects.’

As per the highlighted fragments, statement I is incorrect.
Statement II is correct.
Statement III is nowhere mentioned in the passage.

Hence, option A is correct.

• Knowledge Based Resources Information Systems in agriculture are being strengthened by Ministry of Agriculture to streamline research data management in through organizations such as Indian Council of Agricultural Research (ICAR). Some of the significant initiatives include:
  1. Kisan Rath: App which facilitates transportation of food grains and perishables during COVID lockdown. The app intends to facilitate farmers, FPOs and Cooperatives in the country to have the choice to find a suitable transport facility to transfer their agriculture produce from farm gate to markets.
  2. Meghdoot: It is a joint initiative by Ministries of Earth Sciences and Agriculture. The app provides forecast to farmers relating to temperature, rainfall, humidity, and wind speed and direction, which play critical roles in agricultural operations and how to take care of the crops and livestock
  3. Krishi Megh has been set up under the National Agricultural Higher Education Project (NAHEP), funded by both the government and World Bank. Hence all the pairs are correctly matched.

India's first 'Police Drone Unit' was launched in Chennai. The unit will assist the Greater Chennai Police in aerial surveillance and various tasks such as monitoring large gatherings, real-time vehicle registration data checks, and suspect identification.