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30 Questions MCQ Test UP PGT Mock Test Series 2024 - UP PGT Physics Mock Test - 3

UP PGT Physics Mock Test - 3 for UPTET 2024 is part of UP PGT Mock Test Series 2024 preparation. The UP PGT Physics Mock Test - 3 questions and answers have been prepared according to the UPTET exam syllabus.The UP PGT Physics Mock Test - 3 MCQs are made for UPTET 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for UP PGT Physics Mock Test - 3 below.
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UP PGT Physics Mock Test - 3 - Question 1

The gravitational force between two objects each of mass m, separated by a distance r, is F. Gravitational force between two objects each of mass 2m separated by a distance 2r, will be

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 1

Gravitational force between two objects is mathematically represented as:
F = G * (m1*m2) / r2
Applying the Law of Gravitation to the Given Problem
Given that the initial force F is due to two objects each of mass m separated by a distance r.
Substituting these into the formula gives:
F = G * (m*m) / r2
The problem then states that the mass of each of the objects is doubled (to 2m) and the distance between them is also doubled (to 2r).
The new force F' using these values in the formula would be: F' = G * (2m*2m) / (2r)2

Simplifying this gives:
F' = 4G * (m*m) / 4*r2
This simplifies further to:
F' = G * (m*m) / r2
Comparing this with the original equation for F, we find that:
F' = F

Thus, the force remains the same (F) even when the mass of each of the objects is doubled and the distance between them is also doubled. Hence, the correct answer is A: F.

UP PGT Physics Mock Test - 3 - Question 2

If the radius of the earth be increased by a factor of 5, by what factor its density be changed to keep the value of g the same ?

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 2

The acceleration due to gravity on surface of earth is
g=GM​/ R2
 
g=GρV​/R2
where, G is the gravitational constant, M  is mass of earth, R  is radius of earth, ρ is the density and V is the volume of earth.
∴g=Gρ(4/3)​πR3​/ R2
 
∴g=(4/3)​GρπR
⇒g∝ρR
since, all other quantities are constant.
Hence, if the radius of the earth be increased by a factor of 5, density will decrease by 5  to keep the value of g the same.

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UP PGT Physics Mock Test - 3 - Question 3

Impending motion of a body is opposed by

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 3

The impending motion refers to the state of a body when it is on the verge of slipping. In such cases, the static friction has reached its upper limit and is given by the equation, F=μsN

UP PGT Physics Mock Test - 3 - Question 4

α-rays are

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 4

Alpha particles, also called alpha rays or alpha radiation, consist of two protons and two neutrons bound together into a particle identical to a helium-4 nucleus. They are generally produced in the process of alpha decay, but may also be produced in other ways.

UP PGT Physics Mock Test - 3 - Question 5

Horse power is unit of:

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 5
  • The horsepower (hp) is a unit in the foot-pound-second ( fps ) or English system, sometimes used to express the rate at which mechanical energy is expended.
  • It was originally defined as 550 foot-pounds per second (ft-lb/s).
  • A power level of 1 hp is approximately equivalent to 746 watt.
UP PGT Physics Mock Test - 3 - Question 6

Which among the following has a relative permeability much larger than 1?

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 6

The relative permeability of ferromagnetic materials is much larger than 1. Ferromagnetic substances are those, which when placed in a magnetic field are strongly magnetized in the direction of the magnetizing field, i.e., it is strongly attracted by a magnet.

UP PGT Physics Mock Test - 3 - Question 7

A non-conducting sphere has uniform charge density in it. The electric field at a point inside the sphere will be _______ Zero

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 7

In the case of a non-conducting sphere, an electric charge is uniformly distributed throughout the sphere. Inside the sphere, the electric field at a point will be only due to the electric charge inside that point. There will be no effect of the remaining charge outside that point. In the case of the conducting sphere, the electric field at every point inside the sphere is zero.

UP PGT Physics Mock Test - 3 - Question 8

Infrared waves are produced by

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 8

Infrared waves are emitted by hot bodies. They are produced due to the de-excitation of atoms.
They are called Heat waves as they produce heat falling on matter. This is because water molecules present in most materials readily absorb infrared waves. After absorption, their thermal motion increases, that is, they heat up and heat their surroundings.
Uses: Infra red lamps; play an important role in maintaining warmth through greenhouse effect.

*Multiple options can be correct
UP PGT Physics Mock Test - 3 - Question 9

Which of the following quantities can be written in SI units in K gm2 A-2 S-3 ?

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 9

The dimensional formula of a given unit is [ML2T−3A−2].
So, from the given option only resistance has this dimensional formula so resistance is the correct answer.

UP PGT Physics Mock Test - 3 - Question 10

Air is streaming past a horizontal airplane wing such that its speed is 120 m/s over the upper surface and 90 m/s at the lower surface. If the density of the air is 1.3 kg/m3and the wing is 10 m long and has an average width of 2 m, then the difference of pressure on the two sides of the wing is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 10

Applying Bernoulli's principle, we have
P1+1/2​ρv12=P2+1/2​ρv22 
⇒P2​−P1=1/2ρ (v2/1−v2/2)
⇒ΔP=1/2​×1.3× (1202−902)
⇒ΔP=0.65× (120+90) × (120−90)
⇒ΔP=0.65×210×30=4095Pa

UP PGT Physics Mock Test - 3 - Question 11

Oscillating circuits produce

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 11

An oscillator is a circuit which produces a continuous, repeated, alternating waveform without any input. Oscillators basically convert unidirectional current flow from a DC source into an alternating waveform which is of the desired frequency, as decided by its circuit components.

UP PGT Physics Mock Test - 3 - Question 12

In order to increase the resistance of a given wire of uniform cross section to four times its value, a fraction of its length is stretched uniformly till the full length of the wire becomes times the original length what is the value of this fraction ?

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 12

Let, the length of wire = l unit

Fraction required =a

Then, the lenght of wire which is stretched =al

UP PGT Physics Mock Test - 3 - Question 13

Critical angle is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 13

The Critical Angle
a light ray is in the more dense medium and approaching the less dense medium.
The angle of incidence for the light ray is greater than the so-called critical angle.
When the angle of incidence in water reaches a certain critical value, the refracted ray lies along the boundary, having an angle of refraction of 90-degrees. This angle of incidence is known as the critical angle; it is the largest angle of incidence for which refraction can still occur. For any angle of incidence greater than the critical angle, light will undergo total internal reflection.

UP PGT Physics Mock Test - 3 - Question 14

In Young's double slit experiment, the wavelength of red light is 7800 Å and that of blue light is 5200 Å. The value of n for which nth bright band due to red light coincides with (n + 1)th bright band due to blue light, is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 14

UP PGT Physics Mock Test - 3 - Question 15

Resolving power of a telescope depends on

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 15

The resolving power of a telescope is given by RP∝2μsinθ​/122λ
Further, sinθ ∝ tanθ ∝ diameter of the objective.
So, the resolving power of a telescope depends on the diameter of the objective lens.

UP PGT Physics Mock Test - 3 - Question 16

A carnot engine is taking 700 cal from source and is rejecting 500 cal to the sink in each cycle. What is the temperature of sink if the source temperature is 150° C .

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 16

Heat extracted from source Q1= 700 cal
Heat rejected to the sink Q2= 500 cal
Temperature of source T1= 150 +273= 423K
Temperature of sink T2 to be found:
 Q2/Q1 = T2/T1
So,
T2 = (Q2/Q1) x T1
= (500 x 423)/700
= 302.02 K
= 29.02 degree C.
 

UP PGT Physics Mock Test - 3 - Question 17

What is time constant

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 17

Time constant is a measure of delay in an electrical circut resulting from either an inductor and resistor or capacitor and resistor. I will discuss rhe most common case which is resistor and capacitor, however the inductor resistor combination behaves in a similar manner. The time constant is equal to the value of the resistance in ohms multiplied by the value of capacitance in Farads. The time constant is measured in seconds . It represents the time for the voltage to decay to 1/2.72.

UP PGT Physics Mock Test - 3 - Question 18

The electrostatic field due to a point charge depends on the distance r as 1/r2 . Indicate which of the following quantities shows same dependence on r.

 

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 18

UP PGT Physics Mock Test - 3 - Question 19

In SI system the fundamental units are:

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 19

The SI base units and their physical quantities are the metre for measurement of length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the candela for luminous intensity, and the mole for amount of substance.

UP PGT Physics Mock Test - 3 - Question 20

The most suitable instrument for measuring the size of an atom is:

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 20

Only electron microscope has resolution of 0.5-0.6 Angstrom which is less than the size of an atom.

UP PGT Physics Mock Test - 3 - Question 21

Three identical cells, each of 4 V and internal resistance r, are connected in series to a 6 ohm resistor. If the current flowing in the circuit is 2 A. The internal resistance of each cell is​

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 21

Total emf = 3 x 4 = 12 V
Total resistance = 6 + 3r
Current in the circuit = 2 A
Using ohm's law
2 = 12/ (6+3r)
2(6+3r)=12
12+6r=12
6r = 12-12 = 0
r = 0/6 = 0

UP PGT Physics Mock Test - 3 - Question 22

A loop carrying current I lies in the x-y plane as shown in the figure. The unit vector kˆ is coming out of the plane of the paper. The magnetic moment of the current loop is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 22

The magnetic moment of a current carrying loop is given by

the direction is towards positive z-axis.

 

UP PGT Physics Mock Test - 3 - Question 23

A pendulum has time period T for small oscillations. Now, an obstacle is situated below the 
point of suspension O at a distance  The pendulum is released from rest. Throughout the motion, the moving string makes small angle with vertical. Time after which the pendulum returns back to its initial position is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 23

For the right (half) oscillation,

For the left (half) oscillation,

UP PGT Physics Mock Test - 3 - Question 24

Two particles executing SHM with same angular frequency and amplitude A and 2A same 
straight line with same position cross other in opposite direction at a distance A/3 from mean position. The phase difference between the two SHM’s is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 24

Let particle (1) is moving towards right and particle (2) is moving towards left art this instant, 1 = 0 

UP PGT Physics Mock Test - 3 - Question 25

Which of the following statement is true for a thermodynamical system where ∆U is the increase in internal energy and ∆W work done respectively?

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 25

∆ U = ∆ Q - ∆ W
In an adiabatic process ∆Q is zero, therefore
∆ U = - ∆ W

UP PGT Physics Mock Test - 3 - Question 26

A cube-shaped permanent magnet is made of a ferromagnetic material with a magnetization 8 * 105 M of about The side length is 2 cm. Magnetic field due to the magnet at a point 10 cm from the magnet along its axis is

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 26

Correct Answer :- d

Explanation : μtotal = MV

= (8*105)(2*10-2)

= 6A m2

Magnetic field on the axis of a current loop with magnetic material μtotal is:

B = μμtotal / (2π(x2 + a2)1/2

B = (4π*10-7)(6) / [2π(0.1)]

= 1 * 10-3 T

= 0.001 T

UP PGT Physics Mock Test - 3 - Question 27

The work function of a photoelectric material is 3.32 eV. The threshold frequency will be equal to

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 27

Threshold frequency: - frequency of minimum energy required to remove electron
 
work function=3.3ev
f=3.3×1.6×10−19J​ /6.626×10−34J−s
=0.8×1015Hz
=8×1014Hz

UP PGT Physics Mock Test - 3 - Question 28

Different planets have different escape velocities because:

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 28

The formula for calculating the escape velocity from the surface of a celestial body (e.g. a planet) is:

where G is the universal gravitation constant, M is the planet’s mass and R is its radius. Different planets have different mass and radius - and therefore different escape velocity.

UP PGT Physics Mock Test - 3 - Question 29

The magnetic field between the Horizontal poles of an electromagnet is uniform at any time, but its magnitude is increasing at the rate of 0.020T/s.The area of a horizontal conducting loop in the magnetic field is 120cm2, and the total circuit resistance, including the meter, is 5Ω. Induced emf and the induced current in the circuit are

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 29

Explanation:

e = Rate of change of magnetic field x area

 

UP PGT Physics Mock Test - 3 - Question 30

A 1.0 mH inductance, a10μF capacitance and a 5.0 ohm resistance are connected series to an a.c. source. It is found that inductor and the capacitor show equal reactance. The reactance should be nearest to:​

Detailed Solution for UP PGT Physics Mock Test - 3 - Question 30

From the formula we get,
XL=XC
ωL=1/ωC
⇒ω2=1/LC
⇒ω=1/√Lc
⇒ω=1/√10-3x10-5
⇒ω=104
We also know that,
XL=ωL
⇒XL=104x10-3
⇒XL=10 Ω
Therefore,XL=XC=10Ω

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