Indian Air Force Agniveer Science & Other than Science Mock Test - 3 - Indian Air Force Agniveer Vayu MCQ

Initial velocity, u = 10 ms^–1
Final velocity, v = 20 ms^–1
Distance, s = 135 m
Let, acceleration = a
Using the formula, v² = u² + 2as

Now, using the relation, v = u + at

Let t₁ be the time taken by the ball to reach the highest point.
here, v = 0, u = 20ms⁻¹, a = −g = −10ms⁻², t = t₁
As v = u + at
∴ 0 = 20 + (−10)t₁ or t₁ = 2s
Taking vertical downward motion of the ball from the highest point to ground.
Here, u = 0, a = +g = 10ms⁻², S = 20 m + 25 m = 45 m, t = t₂

Total time taken by the ball to reach the ground = t₁ + t₂ = 2s + 3s = 5s

From the first law of thermodynamics,
we know, dU = dQ - dW ; (work done BY the system is considered +ve)
For an adiabatic process, dQ = 0, and hence, dU = -dW
For an ideal gas expansion, we see that work done
BY the system is +ve (recall the sign convention for work done), i.e., dW > 0.
Therefore, dU is less than 0, and thus, the internal energy decreases.

• Time Period, T = 2π √(l/g')where,
  l = Length of seconds pendulum 
  g’ = Apparent Gravity
• For the period of oscillations of Seconds Pendulum to decrease, the Apparent gravity (g’) has to increase because:
• Hence, Time Period of oscillations of Seconds Pendulum will decrease when the rocket is ascending up with uniform acceleration.

According to Ohm’s law, V = IR. Therefore R= V/I

Explanation:When  bar is in motion then flux will changed hence current will be induced.

Long distance radio broadcasts use short-wave bands because they can be reflected by the ionosphere of the earth's atmosphere and thus can be send to longer distances.

Bohr model of the hydrogen atom attempts to plug in certain gaps as suggested by Rutherford’s model by including ideas from the newly developing Quantum hypothesis. According to Rutherford’s model, an atom has a central nucleus and electron/s revolve around it like the sun-planet system.
However, the fundamental difference between the two is that, while the planetary system is held in place by the gravitational force, the nucleus-electron system interacts by Coulomb’s Law of Force. This is because the nucleus and electrons are charged particles. Also, an object moving in a circle undergoes constant acceleration due to the centripetal force.
Further, electromagnetic theory teaches us that an accelerating charged particle emits radiation in the form of electromagnetic waves. Therefore, the energy of such an electron should constantly decrease and the electron should collapse into the nucleus. This would make the atom unstable.
The classical electromagnetic theory also states that the frequency of the electromagnetic waves emitted by an accelerating electron is equal to the frequency of revolution. This would mean that, as the electron spirals inwards, it would emit electromagnetic waves of changing frequencies. In other words, it would emit a continuous spectrum. However, actual observation tells us that the electron emits a line spectrum.
 

The x-axis makes angles 0°, 90° and 90° with x, y and z-axis. Again y-axis makes angles 0°, 90°, 90° with x, y and z-axis. 
∴ direction cosines of x-axes are cos 0°, cos 90°, cos 90° i.e. 1, 0, 0.

nPn
= n!/(n-n)!
= n!

Find the shortest distance between the lines 

On comparing them with :

we get : 

x³ - 18x² + 96x = x(x² - 18x + 96) = x[(x-9)² + 15]
 =x(x-9)² +15 ≥ 0

Comparing it with the given value, we get

Particular solution of a given differential equationdoes not contain arbitrary constants i.e. a,b ,c etc.

Option (B) represents the author’s dilemma in an abstract form whereas options (A), (C) and (D) represent only confined portions.

• Impede- Delay or prevent (someone or something) by obstructing them.
• Impair- Weaken or damage.
• Impose- Take advantage of someone by demanding their attention or commitment.
• Impel- force, or urge someone to do something.

Thus, the correct answer is, “If you hear loud music, it will impair your hearing.”

• Out of the given options, only 'Melifluence' is the word that has no meaning. 
• So, 'Melifluence' is the misspelt word. ​
• The correct spelling is mellifluence: The quality of sounding mellifluous; that is, the quality of sounding very smooth or pleasant.

• The word remote generally means far away from where other people live
• As per the meaning, remote is the appropriate word for the first blank.
• Napolean was sent to this remote island after he escaped from Elba.

Hence, the complete sentence would be, Napoleon died in 1821 on a remote island where Britain sent him after he escaped from Elba.
Therefore, the correct answer is option 2)

• Let us explore the 5th paragraph:
  • "Rejecting/Neglecting/uninvolved parents (low warmth, low control) don't seem to care at all and can't be bothered with controlling, communicating or teaching their children."
• ​This sentence suggests that rejecting/neglecting/uninvolved parents (low warmth, low control) don't seem to care at all and can't be bothered with controlling, communicating, or teaching their children.
• Therefore, uninvolved parents do not show warmth towards their children, are non-communicative with their children, do not care for their children and do not bother about controlling their children.

So, the most suitable answer is Option 2.​

Tunisia, Kenya, Tanzania all are African countries except (D).

The physicist Ernst Ruska and the electrical engineer Max Knoll constructed the prototype electron microscope in 1931, capable of four-hundred-power magnification; the apparatus was the first demonstration of the principles of electron microscopy.

Human eye lens are convex in nature and form real and inverted images and when the object is kept before the focus point and the centre of the lens it form virtual and erect images. The image formed on retina are real and inverted and further the message sent by the optic nerve are chemical impulses to the brain, which turn them into erect images that we see with our eyes.

President of IIPA is Jagdeep Dhankhar (Vice President of India). Union Minister and National Chairman of the Indian Institute of Public Administration (IIPA) Jitendra Singh on 12th Oct 2022 approved 111 new members of IIPA. It includes 9 newly recruited IAS officers serving as Assistant Secretaries at the centre. The IIPA membership was earlier reserved for only retired officers.

Average cost = 

∴ Rs. 50/kg

NCP leader Ajit Pawar joins NDA govt in Maharashtra, takes oath as deputy chief minister in June 2023.

• Ajit Pawar, NCP leader, took oath as deputy chief minister of Maharashtra along with nine NCP MLAs.
• The swearing-in ceremony took place at Raj Bhavan on 2 July 2023, in the presence of CM Eknath Shinde and Deputy CM Devendra Fadnavis.
• Before the ceremony, Ajit submitted a letter of support of 35 NCP MLAs to Governor Ramesh Bais.
• With Ajit's entry, the state will now have two DCM's.

The logic followed here is:

So, '-15' will complete the series.
Hence, the correct answer is "Option 3".

Given: Number of members in a family = 7, namely A, B, C, D, E, F, G.

• D is the mother of F.
• D is G's father's mother.
• F is the only son of E.
• G is the brother of A and C.
  
• E is the father's father of C.

Hence, Father's father is the correct answer.

The logic followed is:
Decoding the information, 


Given the equation: 124 + 16 - 125 × 25 ÷ 5 = ?
After replacing the signs from left to right and using the BODMAS rule,
= 124 - 16 × 125 ÷ 25 + 5
= 124 - 16 × 5 + 5
= 124 - 80 + 5
= 129 - 80
= 49
Hence, the correct answer is "49".