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UP PGT Physics Mock Test - 8 - UPTET MCQ


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30 Questions MCQ Test - UP PGT Physics Mock Test - 8

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UP PGT Physics Mock Test - 8 - Question 1

The Brewster’s angle for a transparent medium is 600.The angle of incidence is​

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 1

Brewster's angle is an angle of incidence at which light with a particular polarization is perfectly transmitted through a transparent dielectric surface, with no reflection. When unpolarized light is incident at this angle, the light that is reflected from the surface is therefore perfectly polarized.
So the angle of incidence would be 60°

*Multiple options can be correct
UP PGT Physics Mock Test - 8 - Question 2

Which of the following set have different dimensions ?

[JEE-2005s ; 3/60]

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 2

By checking dimension all option
[Dipole moment] = [M0L1T1A1] [Electric Flux] = [M1L3T-3I-1] [Electric field] = [M1L1T-3I-1]

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*Multiple options can be correct
UP PGT Physics Mock Test - 8 - Question 3

Two different arrangements in which two square wire frames of same resistance are placed in a uniform constantly decreasing magnetic field B.

                     

                    

The direction of induced current in the case II is

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

UP PGT Physics Mock Test - 8 - Question 4

The amplitude of the magnetic field part of a harmonic electromagnetic wave in vacuum is B0= 510 nT. Amplitude of the electric field part of the wave is

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 4

Magnetic field part of a harmonic electromagnetic wave in vacuum
,B0​=510×10−9T
Speed of light,
C=3×108m/s
E=cBo​=153N/C

UP PGT Physics Mock Test - 8 - Question 5

The materials which have the same elastic properties in all directions are called __________.

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 5

Same elastic properties in all direction is called the homogenity of a material.

UP PGT Physics Mock Test - 8 - Question 6

A rectangular carbon block has dimensions 1.0 cm × 1.0 cm × 50 cm. Resistances are measured, first across two square ends and then across two rectangular ends, respectively. If resistivity of carbon is 3.5 × 10_5 W-m, then values of measured resistances respectively are :

         

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 6

Between two square faces the area is 0.01×0.01=1×10−4m2 and length is 0.5m. So, the resistance is (3.5×10−5×0.5)/(1×10-4)=0.175ohm, this can be written as, (35/2) x10-2 ohm
Between the rectangular face the area is 0.01×0.5=0.005m2 and the length is 0.01m, hence the resistance is (3.5×10−5×0.01)/0.005=7×10-5 ohm

UP PGT Physics Mock Test - 8 - Question 7

The inductive reactance of a coil is 1000W. If its self inductance and frequency both are increased two times then inductive reactance will be

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 7

We know that,
XL= ωL
Or, XL =2πfL   [ ω can be written as, 2πf]
Initially,
XL1=2πf1L1=1000Ω
For the second case,
F  and L both are doubled, so,
XL2 =2π2f12L1 =4x2πf1L1
                        =4000 Ω

UP PGT Physics Mock Test - 8 - Question 8

 kgm2s-1 is the unit of

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

L = Iw
L is the angular momentum, I is the MOI and w is the rotational velocity.
[I] = [ML2T0], [w] = [M0L0T-1]
[L] = [MLT-1]

UP PGT Physics Mock Test - 8 - Question 9

A (nonrotating) star collapses onto itself from an initial radius Ri with its mass remaining unchanged. Which curve in figure best gives the gravitational acceleration ag on the surface of the star as a function of the radius of the star during the collapse ?

                       

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 9

g∝1​/R2
Curve b represents this variation.
 

UP PGT Physics Mock Test - 8 - Question 10

A  current carrying loop is placed in a uniform magnetic field in four different orientations, I, II, III & IV arrange them in the decreasing order of Potential Energy

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 10

As we know that, potential energy of a magnet in a magnetic field
U=−m⋅B
  =−mBcosθ
where, m= magnetic dipole moment of the magnet 
B= magnetic field

UP PGT Physics Mock Test - 8 - Question 11

A converging lens is used to form an image on a screen. When the upper half of the lens is covered by an opaque screen

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 11

The only difference in covering any part of a lens is that the intensity of the image will reduce. Since the focal length is a function of curvature of the surfaces of the lens and covering a part does not change it, the image will be formed as usual.

UP PGT Physics Mock Test - 8 - Question 12

If a charge is placed outside a closed surface, flux due to that charge inside the surface will be ________

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 12

According to Gauss’s principle, if there is no charge bound inside a surface, net electric flux coming out of the surface will always be 0. In this case, the charge is kept outside the surface, so it will generate no field lines and hence no flux inside the surface. The situation will be the same if an electric dipole is placed inside a surface as the dipole has equal positive and negative charges; the total charge inside the surface becomes 0.

UP PGT Physics Mock Test - 8 - Question 13

The decrease in the value of g on going to a height R/2 above the earth's  surface will be

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 13

g = GM​/R2 
g at height h
gh​ = GM/(R+H)2
h = R/2
gh ​= GM/(R + R/2​)2 ​= GM/((9/4) (R2)) ​= 4/9g
Decrease in the value of g
g − 4/9g = 5/9 g

UP PGT Physics Mock Test - 8 - Question 14

Slope of displacement time graph or x-t graph gives us the particles’ ____________.

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 14

Velocity is a physical vector quantity; both magnitude and direction are needed to define it. The scalar absolute value (magnitude) of velocity is called "speed", being a coherent derived unit whose quantity is measured in the SI (metric system) as metres per second (m/s) or as the SI base unit of (m⋅s−1).

UP PGT Physics Mock Test - 8 - Question 15

The fringe width in a Young's double slit experiment can be increased. If we decrease

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 15

Fringe width = λD/d
where λ us wavelength
D is the distance between slits & screen
d is the distance between slits

UP PGT Physics Mock Test - 8 - Question 16

An infinitely long rod lies along the axis of a concave mirror of focal length f. The near end of the rod is at a distance u > f from the mirror. Its image will have a length

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 16

At infinity, image of B will form at focus since it is at infinity. Image of A will be at A which can be calculated by mirror formula.
1/v​+(1/−u)​=(1/−f)
⟹v= fu /(f−u)​=−( fu/(u−f)​)
Image length = v−f=(fu/(u−f)​)−(f)

= f2​/(u−f)
(We take the absolute values of the distances to calculate the rod length)

UP PGT Physics Mock Test - 8 - Question 17

A test charge of 3nC is placed at origin and experiences a force of 9 x 10-4 N. The electric field at origin is:​

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 17

E =F/q = (KQ/r2)

UP PGT Physics Mock Test - 8 - Question 18

Two small balls having equal positive charge Q (Coulomb) on each are suspended by two insulating strings of equal length 'L' metre, from a hook fixed to a stand. The whole set up is taken in a satellite in to space where there is no gravity (state of weight lessness). Then the angle (q) between the two strings is

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 18

There is a condition of weightlessness in a satellite.
Therefore, mg=0
Due to electrostatic force of repulsion between the balls, the string would become horizontal.
Therefore, angle between the string =180
 

UP PGT Physics Mock Test - 8 - Question 19

The impedance of a 10 microfarad capacitor for 50 Hz ac is:

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 19

Impedance(XC)=1/ωC
=1/ 2πfC
=1/2πx50x10x10-6
=106/1000π
XC=103/π=(1000/π) Ω

UP PGT Physics Mock Test - 8 - Question 20

If the Young’s apparatus is immersed in water, the effect on fringe width will​

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 20

When Young's double-slit set up for interference is shifted from air to within water then the fringe width decreases because the refractive index of water is more than that of the air.
Originally the fringe width is given by:
β1​=λD/2d​
The new fringe width within water will be given by 
β2​= λD​/2nd
So, β2​= β1/n​​
Here, n is the refractive index of medium.
 

UP PGT Physics Mock Test - 8 - Question 21

A uniform line charge with linear density λ lies along the y-axis. What flux crosses a spherical surface centred at the origin with r = R?

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 21

Line charge density = λ
Radius, r = R
Now,  λdl=dθ
For total charge enclosed by radius R, 0R Q = 0R λdl
Qinc = λR
Now, ϕ = Qinco    {from Gauss law}
= λR/ε0

UP PGT Physics Mock Test - 8 - Question 22

Which of the following statements is correct about angular acceleration?

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 22

Angular acceleration is defined as the rate at which an object's angular velocity changes over time. It is given by the formula:
Angular acceleration (α) = Change in angular velocity (Δω) / Change in time (Δt)

UP PGT Physics Mock Test - 8 - Question 23

A pure resistance R, pure capacitance C and pure inductance L are connected in series and the impedance of the circuit at resonance is Z0. If they are connected in parallel to each other, the maximum impedance at resonance will be:​

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 23

If series LCR circuit is present then z={R2+(xl-xc)2}1/2
if resonance is present then XC=CL or VC=CL then Z= Zo
if LCR circuit is in parallel form then in which circuit resonance is also present firstly 1/Z ={(1/R)2+ ((1/xc) –(1/xl))2}1/2 and in resonance conditions XC=CL according to this Z= Zo then option C is the correct answer

UP PGT Physics Mock Test - 8 - Question 24

The current and emf through an inductance differ in phase by:​

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 24

Phase Difference between Current and EMF in an Inductance
 


  • Explanation: In an inductance, the current lags behind the electromotive force (EMF) by a phase angle of π/2 (90 degrees).

  • Reasoning: This phase difference occurs because when the current starts to flow through the inductance, it induces a back EMF that opposes the change in current. This back EMF leads to the current lagging behind the EMF.

  • Mathematically: The relationship between the current (I) and the EMF (E) in an inductance can be expressed as: E = L(di/dt), where L is the inductance and di/dt is the rate of change of current with respect to time. This equation shows that the EMF is proportional to the rate of change of current, leading to the phase difference.


  •  
UP PGT Physics Mock Test - 8 - Question 25

A vehicle of 50 quintal climbs up a hill of 10 m. The potential energy gained by it is (take g = 10 m/s2)

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 25

mass = 50 x 100 = 5000 kg, g = 10 m/s2,  h = 10 m
Potential energy gained = mgh = 5000 x 10 x 10 = 5 x 105 J

UP PGT Physics Mock Test - 8 - Question 26

A long, hollow conducting cylinder is kept coaxially inside another long, hollow conducting cylinder of larger radius. Both the cylinders are initially electrically neutral.

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 26

When the charge is given to inner cylinder than there is an electric field is produced between cylinders which is given by
and due to this a potential difference is developed between two cylinders.

UP PGT Physics Mock Test - 8 - Question 27

The reason why cyclists bank when taking a sharp turn is

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 27

Explanation:In order to take a safe turn, the cyclist has to bend a little from his vertical position. In this case, a component of the reaction provides the required centripetal force.If q is angle made by the cyclist with the vertical then

In actual practice, the value of q is slightly less because the force of friction also contributes towards the centripetal force.

UP PGT Physics Mock Test - 8 - Question 28

An object is placed on the surface of a smooth inclined plane of inclination θ It takes time ‘t’ to reach he bottom. If the same object is allowed to slide down a rough inclined plane of inclination θ it takes time nt to reach the bottom where n is a number greater than 1. The coefficient of friction μ  is given by

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 28

On smooth inclined plane:
Acceleration of the body = g sin θ If s be the distance travelled, then

UP PGT Physics Mock Test - 8 - Question 29

Angular momentum of the particle rotating with a central force is constant due to

[AIEEE 2007]

Detailed Solution for UP PGT Physics Mock Test - 8 - Question 29

By law of conservation of angular momentum, in the absence of external torque angular momentum is conserved.
For angular momentum to be constant
τ = 0
Central force: zero torque

*Answer can only contain numeric values
UP PGT Physics Mock Test - 8 - Question 30

What is the percentage error in the physical quantity A If it is related to four other physical quantities a,b, c and d as  The percentage error in measurement of a,b,c and d are 1% , 3% 2% and 1% respectively


Detailed Solution for UP PGT Physics Mock Test - 8 - Question 30

Percentage error of A

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