UP PGT Physics Mock Test - 2 - UPTET MCQ

Let q charge is situated at themidposition of the lineAB.The distance between AB is x. A and B be the positions of charges Q and Q respectively.

equation of alternating voltage , E = 200√2sin(100t)
compare this equation with E₀sin(ωt)
so,  E₀=200√2 volts
ω= 100 rad/s
now, E_rms=E₀/√2
= 200√2/√2 = 200 volts .
given, capacitance of capacitor, C = 10^-6 F
so, reactance of capacitor,  X_C=1/ω_C
=1/(10^-6x100)
=10⁴
so, the reading of Ammeter, I=E_rms/X_C
= 200/10⁴ A = 20 × 10^-3 A = 20mA
hence, option (b) is correct.

Compare the given eqn. with the standard from I=I0sinωt
I₀=8, Irms=I₀/√2=8/√2=5.656A

If a dish is kept at an orientation with a marble placed on it and if the marble in figure is displaced slightly, it would rattle about for a while and come to rest in its original place.  This is the example of Stable Equilibrium.
When a body tries to regain its equilibrium position after being slightly displaced and released, it is said to be in stable equilibrium.

In a convex lens,  (1/v)−(1/u)=(1/f)​
Or (1/v)​−(1/f)​=(1/u)​ where u is always negative and f is always positive.
(1/v)​=(1/f)​−(1/u)​
So, as u is increased 1/u will decrease and  (1/f)​−(1/u)​  will increase, so, 1/v​ increases or v decreases.
So, its graph will be a hyperbola

Dichlorodifluoromethane (R-12) is a colorless gas usually sold under the brand name Freon-12, and a chlorofluorocarbon halomethane (CFC) used as a refrigerant and aerosol spray propellant. Complying with the Montreal Protocol, its manufacture was banned in developed countries (non-article 5 countries) in 1996, and developing countries (article 5 countries) in 2010 due to concerns about its damaging impact to the ozone layer.[better source needed] Its only allowed usage is as fire retardant in submarines and aircraft. It is soluble in many organic solvents. Dichlorodifluoromethane was one of the original propellants for Silly String. R-12 cylinders are colored white.

Let,  g_e​ be the acceleration due to gravity on surface of earth, g′ be  the acceleration due to gravity at depth d below the surface of earth and is given by
g′= g_e​(1−d/R​) ............................(1)
The acceleration due to gravity of an object on latitude(below the surface of earth) is
g′= g_e​−ω²R cosϕ
where, ϕ is the solid angle at the centre of earth sustained by the object.
At the equator, ϕ=0^∘
∴ cosϕ=1
Hence, 
g′=g_e​−ω²R ...............(2)
From (1) and (2), we can write
g_e​(1−d/R​)=g_e​−ω²R 
⇒dg_e​​=ω²R
⇒d= ​ω²R²​/ g

When the body is in rest it is under static friction but when it starts moving (neither rolling nor sliding), the static friction slowly chngs to kinetic friction as the coefficient of static friction start decreasing and that of kinetic friction starts increasing. In case it starts rolling motion then the friction is rolling friction & if it slides then sliding fiction.

The First minimum is located at the place where the central maximum ends. And the first minimum spreads further upto half the fringe width.

Conservation of angular momentum is one of the key conservation laws in physics, along with the conservation laws for energy and (linear) momentum. All the top 3 options use the application conversion of angular momentum.
But the cause of fruit drop can occur due to many reasons such as a severe pest infestation can stress the tree enough to cause fruit drop, Sudden changes in temperature, particularly when high temperatures occur at or shortly after fruit set, can cause fruit drop.

We know that,
Velocity of efflux is given as v = √2gh
As the water level in the tank decreases, the velocity with which water comes out from the opening decreases due to decrease in pressure with height. Hence, the time taken to empty the tank increases with decrease in velocity and height of water level.
Hence C is the correct answer.

The overall work performed in carrying a 2coulomb charge in a circular orbit of radius 3 m around a charge of 10 coulomb is calculated below.
It is a well-known fact that W=qdv.
Here dV is the change in overall potential. In the circular orbit of r potential at each point is similar.
Most significantly, the value of r is 3.  
The value of dv=0 and hence W=q₀=0.

The magnetic field at a point on the axis of a circular loop at a distance x from centre is,

In case I :


In Case II :


From equations (i) and (ii),

We know that Pv remains constant for any fluid and for non compressible fluids like water we get that Pv is always constant.
Also as 76cm of Hg = 10⁵ Pa  
We get 2m Hg = 200/76 x 10⁵ Pa
Thus from conservation of Pv, we get that
2 x  200/76 x 10⁵  = 4 x P
Thus we get P = 100/76 x 10⁵
Thus we get P = 1.31 x 10⁵

The radiation of infrared rays of the sun keeps the earth's surface warm even at night due to the greenhouse effect of the atmosphere. Heavy gases likely CO_2​ present in the earth's atmosphere reflect infra-red radiation back towards the earth's surface. Due to which earth's atmosphere becomes richer in infrared radiation. If the atmosphere is absent then earth temperature falls off.

Explanation:Equal vectors are vectors that have the same magnitude and the same direction. Equal vectors may start at different positions.

The time period of a physical pendulum is 

where, I = MI of the system about point of sduspension 

M = mass of the system and

l = distance between COM of the system and point suspension

 Now, M = m + m = 2m

As the plane is frictionless, thus there will be only slipping and no rolling. So, for all of them acceleration will be ‘gsinθ’

As the components of electric field intensity at diagonal are equal in magnitude and opposite in direction, thus the intensity of electric field will be zero.
Hence the correct answer would be option A.

Eddy current when produced it causes damping heat loss energy loss but it don't produce any type of sparking because the electrons are only at the surface of the conductor and the electrons do not jump off to enter the air and heat it. 

At any θ,
T - mgcosθ =

⇒ T = mg cosθ + 
Since v is constant,
⇒ T will be minimum when cos θ is minimum.
⇒ θ = 180° corresponds to T_min.

Change n in magnetic flux Δϕ=0.1−1=−0.9 Weber
Time taken  Δt=0.1 sec
So, emf induced in the coil  E=− Δϕ​/Δt
⟹ E=− (−0.9)​/ 0.1=9 Volts
Hence option C is the correct answer.

According to Newton's third law of motion, the force exerted on the floor by the person is equal and opposite the force exerted on the person by the floor.
According to the second law of Newton's law of motion, the net force exerted on the person is equal to the person’s mass times the person’s acceleration.
The net force exerted on the person = Force exerted by the floor+ Force exerted by gravity.
If the elevator goes up with acceleration g, the same is the person inside the elevator.
The work done on the man by the floor is the sum of the change in potential energy and kinetic
energy.
i.e W = Δ P.E + Δ K.E
But the elevator moves at a constant speed, so K.E =0.
W = Δ P.E
The work performed on you by the elevator is force times displacement = -Mgh
Negative sign shows it is moving upwards, i.e., against g.
 

In series connection of cells total internal resistance=nr total resistance of circuit=nR current is same potential difference is different so,I=nv/nR+nr I=V/R+r current is same as before in parallel connection of cells total internal resistance=r/n total resistance of circuit=R/n total current=nI potential difference is same nI=V/r/n+R/n I=V/R+r current is same as before.

Explanation:External force permanently distubed the equilibrium position of the interatomic ( or intermolecular ) forces between the particles of solid bodies.