AWES TGT Physics Mock Test - 4 - AWES TGT/PGT MCQ

Tarun Bajaj, the former Revenue Secretary and Secretary of Economic Affairs to the Government of India, has been appointed as the chairman of the US-India Tax Forum by USISPF, showcasing his expertise in economic matters and international relations.

India and the European Union (EU) signed a significant MoU on semiconductors, aiming to strengthen the supply chain and stay in sync with global advancements in the semiconductor industry.

Schools should cater to individual differences to understand why students are able or unable to learn. The objective of education is to provide the fullest possible development for each learner. Education fosters morality, creativity, innovativeness, imaginative power, thinking ability of critical analysis, etc. Everyone has the right to education and every school should be aware of this fact. They should find suitable ways for students to learn better.
Hence, the correct answer is, 'Understand why students are able or unable to learn.'

Explanation:By convention phasor diagrams are made to show the rotation of phasor in counterclockwise direction with constant speed

Magnetic field due to current in wire 1 at point P distant r from the wire is

 (directed perpendicular to the plane  of paper, inwards)

The force exerted due to this magnetic field on current element i₂ dl is

dF = i₂ dl B sin 90°

Given,
Capacitance, C=100μF=100x10^-6F
10^-4F
Resistance, R=40Ω
Rms voltage, E_v=110 volt
Peak voltage, E₀=√2 .E_v=√2 x 110V
Frequency of Ac supply, v=60Hz.,
ω=2πv=120π rad/s
peak current, I₀=?
a.   In RC,as
Z=√(R²+X_C²)= √[R²+(1/ ω²C²)]
Therefore,
I₀=E₀/√[R²+(1/ ω²C²)]
  =√2x100/√[1600+(1/120πx10^-4)²]
I₀=3.23amp
b.   In RC circuit voltage lags behind the current by phase angle Φ, where Φ is given by,
tanΦ=(1/ω)/R
=1/ωCR
=1/(120πx10-4x40)
=0.6628
⇒ Φ=tan^-1(0.6628) =33.5o
=(33.5π/180)rad
Time lag= Φ/ω
=33.5π/180x120π
=1.55x10^-3 sec.
=1.55ms
 

Given Data,
Length of the piece of copper = l = 19.1 mm = 19.1 × 10^-3m
Breadth of the piece of copper = b = 15.2 mm = 15.2× 10^-3m
Tension force applied on the piece of cooper, F = 44500N
Area of rectangular cross section of copper piece,
Area = l× b
⇒ Area = (19.1 × 10-3m) × (15.2× 10-3m)
⇒ Area = 2.9 × 10^-4 m²
Modulus of elasticity of copper from standard list, η = 42× 10⁹ N/m2
By definition, Modulus of elasticity, η = stress/strain

⇒ Strain = F/Aη

⇒ Strain = 3.65 × 10^-3
Hence, the resulting strain is 3.65 × 10^-3

Dispersive power depends on the material of the prism. When light transitions from one medium to another it bends on the basis of the refractive indices of the two media. Dispersive power is a measure of the amount of difference in the refraction of the highest and lowest wavelengths which enter the prism.

According to Carnot theorem no heat engine working between two given temperatures of source and sink can be more efficient than a perfectly reversible engine working between the same two temperatures, by the statement of Carnot theorem.

Every foot of elevation change causes a 0.433 PSI change in water pressure. If your pipe is going downhill add 0.433 PSI of pressure per vertical foot the pipe goes down. If the pipe is going uphill subtract 0.433 PSI for every vertical foot the pipe goes up.

If a resonant mechanical structure is set in motion and left to its own devices, it will continue to oscillate at a particular frequency known as its natural frequency, or "damped natural frequency". This will be a little lower in frequency than the resonant frequency, which is the frequency it would assume if there were no damping. The resonant frequency is also called the "undamped natural frequency”

As we know that F = ma
15 = 8a
=> 15/8 = a
a = 1.875 ms^-2

Davisson and Germer Experiment, for the first time, proved the wave nature of electrons and verified the de Broglie equation. de Broglie argued the dual nature of matter back in 1924, but it was only later that Davisson and Germer experiment verified the results. The results established the first experimental proof of quantum mechanics. In this experiment, we will study the scattering of electrons by a Ni crystal.

As seen from the image, in the direction of magnetic field

mgsinθ=il×B
mgsinθ=ilB

We are given that:
Focal length = 20 cm
In a convex mirror image is formed between focal length and mirror.
So the maximum distance is f i.e. focal length of the mirror.  
Now
f = 20 / 2 = 10 cm
Thus the largest distance of an image from a convex mirror is 10 cm.
 

Given the two sound waves:
y₁ = 0.008 sin (604πt)
y₂ = 0.007 sin (610πt)
The general form y = A sin (2πft) shows that the term multiplied with t inside the sine gives 2πf, so the frequency f₁ = 604/2 = 302 Hz and f₂ = 610/2 = 305 Hz.
The number of beats heard per second (beat frequency) is the absolute difference of the two frequencies:
Beat frequency = |f₂ - f₁| = |305 - 302| = 3 Hz.
However, since the argument in the sine is 604πt, frequency is 604/2 = 302 Hz, not 604 Hz. The same logic applies for the second wave.
Therefore, the beat frequency is 3 Hz, so the number of beats heard per second is 3.
But reviewing the options, and based on the form of the equations, the number of beats heard per second is 3 (option a). However, if the question expects the number of maxima (beats) heard per second, it is 3.
Therefore, the correct answer is a) 3.

• Stronger magnetic field, thicker material and low resistivity material will increase the size and effect of eddy current whereas thinner material will reduce the effect of eddy currents.

From the figure,

dy/dt = u
tanθ = h/x = H/(y+x) ⇒ x = hy/(H-h)
So, dx/dt = h/H - h dy/dt = hu/(H-h)
Now the distance of the edge of shadow from the stationary lamp-post is x + y
So, the speed of the edge of the shadow on ground would be,
dx/dt + dy/dt = u + hu/(H − h) = Hu/(H − h)

From conservation of momentum,   mu = mv₁ + mv_{2                      (1)}

Explanation:Acceleration is a vector quantity because it has both magnitude and direction.When an object has a positive acceleration, the acceleration occurs in the same direction as the movement of the object.When an object has a negative acceleration (it's slowing down), the acceleration occurs in the opposite direction as the movement of the object.

The ratio of quantity of heat removed per cycle from the contents of the refrigerator to the energy spent per cycle to remove this heat is called the coefficient of performance. It is the definition of coefficient of performance.

In hooke's law, the constant of proportionality defines  the modulus of elasticity which is also defined as the ratio of internal reforming force / external deforming force.

Unit is the reference used as the standard measurement of a physical quantity.

• The unit in which the fundamental quantities are measured are called fundamental unit.
• Units used to measure derived quantities are called derived units.

We know that dq = dU + dW
And as dU =  60 and dq = 140J
We get dW = 140 - 60 = 80J

The relation between actual time and given time is:
Actual time=11:60 −given time
Actual time=11:60−3:25=8:35

A tuning fork is made of an alloy of steel, nickel and chromium, called elinvar, i.e. the material for which the elasticity does not change.

Explanation:The induced EMF is expected to be constant in the case of a rectangular loop. In case of a circular loop, the rate of change of area of the loop during the passage out of the field region is not constant, whereas it is constant for rectangular loop.

NOTE : If we take individual length for the purpose of calculating the magnetic field in a 3-Dimensional figure then it will be difficult.
Here a smart choice is divide the loop into two loops.
One loop is ADEFA in y-z plane and the other loop will be ABCDA in the x – y plane.

We actually do not have any current in the segment AD. By choosing the loops we find that in one loop we have to take current from A to D and in the other one from D to A. Hence these two cancel out the effect of each other as far as creating magnetic field at the concerned point P is considered.
The point (a, 0, a) is in the X-Z plane.
The magnetic field due to current in ABCDA will be in + ve Z-direction.

NOTE : Due to symmetry the y-components and xcomponents will cancel out each other.
Similarly the magnetic field due to current in ADEFA will be  in x-direction.

∴ The resultant magnetic field will be