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EmSAT Physics Mock Test- 1 - EmSAT Achieve MCQ


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30 Questions MCQ Test Mock Tests for EmSAT Achieve 2024 - EmSAT Physics Mock Test- 1

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

What will be the maximum percentage error in the measurement of the density of an iron rod whose radius and length are measured as (4 ± 0.004) cm and (8 ± 0.008) cm respectively? The mass of the wire is measured to be (30 ± 0.03) g.

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 1

Density of the rod will be calculated as

The percentage error will be calculated as

Substituting the values in the above equation

= (0.001 + 0.002 + 0.001) × 100 = 0.4%
Therefore, it is our required solution.

EmSAT Physics Mock Test- 1 - Question 2

A block of mass m is attached to two inextensible massless strings passes over two ideal massless pullies as shown in figure. The other end of the strings is attached to two masses of 5 kg each. The angle between the strings is 90o in the equilibrium position. The value of mass m (in kg) will be

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 2

From the free body diagram of the central block:


Hence,


For the 5 kg block,

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EmSAT Physics Mock Test- 1 - Question 3

In the figure given, two masses of 5 kg and 10 kg are attached to a massless string and the string passes over an ideal frictionless pulley. The system is released from the rest at t = 0 sec. Find the work done by the string on the mass of 5 kg during the time t = 1 sec, just after releasing the system from the rest.

(use acceleration due to gravity, g = 10 m/s2)

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 3

From the FBD below

Acceleration of the blocks in the given problem

From the equation of motion

From FBD
Let the tension in the string is T

Work done by tension

EmSAT Physics Mock Test- 1 - Question 4

The total kinetic energy of a body rolling without slipping is 65.6 J. The mass of the body is 20 kg and it is moving with a linear velocity of 2 m/s. If the radius of the body is 1 m, find the radius of gyration of the body.

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 4

Kinetic energy of a rolling body is given as:

This is our required solution.

EmSAT Physics Mock Test- 1 - Question 5

For a two-particle system with total mass M and separated by some distance d, if one of the particles has mass m, what would be the ratio of the masses m/M so that the gravitational force between two particles is maximum?

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 5

By the law of gravitation,

This is our required solution.

EmSAT Physics Mock Test- 1 - Question 6

An iron chain of uniform material is lying on a smooth frictionless table. The chain is pulled from one end with a constant force of 10 N. If mass of the chain is given to be 2 kg and the length of the chain is 1 metre, what will be the tension in the rope at a distance of 600 mm from the point of application of force?

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 6

Acceleration of the chain,


We have to find the tension at point P.
Both the parts OP and PQ will move with the same acceleration.
Equation of motion for OP
T = ma

This is our required solution.

EmSAT Physics Mock Test- 1 - Question 7

A force F = 20 N is acted upon a stationary body of mass 40 kg. If the applied force is in the line of motion of the object, work done by this force in the first second will be

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 7

W = F.s
F = 20 N
s = ?
By the equation of motion

As the object is stationary, u = 0
Therefore,

Therefore, it is a correct option.

EmSAT Physics Mock Test- 1 - Question 8

The ratio of moments of inertia of two rings of radii R and nR made of same material about an axis passing through their respective centres is 1 : 8. The value of n is

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 8

We know that moment of inertia of a thin circular ring, I = MR2

Where ρ is the linear mass density , is same as materials of both rings is same
So, we have 

EmSAT Physics Mock Test- 1 - Question 9

Two bodies each of mass M are kept at a distance of 2a metres from each other. If another body of mass m is projected vertically upward from the midpoint of the line joining the centre of the two bodies with mass M, what would be the minimum initial velocity of the body with mass m to escape the gravitational field of the two-body system?

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 9

Let the minimum velocity be v.
By the conservation of energy law,

Total potential at centre is

This is our required solution.

EmSAT Physics Mock Test- 1 - Question 10

N number of water droplets, each of radius r, are accumulated to make a bigger droplet of radius R. The ratio of the final surface energy of the droplets to the initial surface energy will be

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 10

Let R be the radius of the bigger droplet and 'r' be the radius of the smaller droplet.
Equating the volume of the droplets:

Energy of droplet with radius R = 4πR2T
Energy of N droplets with radius r = N × 4πr2T
Ratio of final surface energy to the initial surface energy

This is our required solution.

EmSAT Physics Mock Test- 1 - Question 11

A wire of irregular shape turning into a circular shape in a magnetic field which is directed into the paper. The direction of induced current is

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 11

When a wire of irregular shape turns into a circular loop, area of the loop tends to increase. Therefore, magnetic flux linked with the loop increases. According to Lenz’s law, the direction of induced current must oppose the change in magnetic flux, for which induced current should flow along adcba.

EmSAT Physics Mock Test- 1 - Question 12

Two circular coils can be arranged in any of the three situations shown in figure. Their mutual inductance will be,

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 12

Let the radius of bigger coil be R and radius of smaller coil be r. Let I be the current passing through the bigger coil in anti-clockwise direction.
Magnetic field produced due to circular coil at its centre is vertically upwards.

Let M be the mutual induction of the coils. Then, we can write,

Here, ϕ = magnetic flux.
Since, ϕ = BAcos(θ), we can write,

In case of (i): Magnetic field due to bigger coil and surface vector of smaller coil lies in same direction, i.e., θ = 0°

In case of (ii): Magnetic field due to bigger coil and surface vector of smaller coil perpendicular to each other, i.e., θ = 90°

In case of (iii): No field line passes through the smaller coil since the smaller coil is placed beside bigger coil and B is vertically upwards. Hence, the field at centre of smaller coil will be zero.

By comparing equation (1), (2) and (3), we can write,

Hence, mutual inductance is maximum in situation (i).

EmSAT Physics Mock Test- 1 - Question 13

A small square loop wire of side l is placed inside a large square loop of side L(L>>l). If the loops are coplanar and their centres coincide, the mutual induction of the system is directly proportional to

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 13

Consider the larger loop to be made up of four rods each of length L, the field at the centre, i.e. at a distance of (L/2) from each rod, will be


So, the flux in the smaller loop,

EmSAT Physics Mock Test- 1 - Question 14

A step down transformer, transforms a supply line voltage of 2200 V into 220 V. The primary coil has 5000 turns. The efficiency and power transmitted by the transformer are 90 % and 8 kW respectively. Then the power supplied is

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 14

Efficiency of transformer is given by,

EmSAT Physics Mock Test- 1 - Question 15

Which type of losses do not occur in the transformer?

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 15

In a transformer,

  1. Iron losses in actual iron cores, inspite of lamination, eddy current are produced. The magnitude of eddy current may however be small and a part of energy is lost as the heat produced in the iron core.
  2. Copper losse in practice, the coils of the transformer possess resistance. So, a part of the energy is lost due to the heat produced in the resistance of the coil.
  3. Flux leakage the coupling between the coils is seldom perfect. So, whole of the magnetic flux produced by the primary coil is not linked up with the secondary coil.

And hysteresis loss, humming losses also occur in the transformer.

EmSAT Physics Mock Test- 1 - Question 16

The magnet in figure rotates as shown on a pivot through its centre. At the instant shown, what are the directions of the induced currents

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 16

N  pole moves closer to coil CD and S pole moves closer to coil AB on rotation of magnet.
According to Lenz's law, N pole should develop at the end corresponding to C.
∴ Induced current flows from C to D
Also S pole should develop at the end corresponding to B.
∴ Induced current flows from A to B
According to an observer E1 current will be clockwise in coil−1 and for an observer E2 current will be anti-clockwise in coil−2 as shown in figure.

EmSAT Physics Mock Test- 1 - Question 17

Assertion: A spark occurs sometime, when an electric iron is switched off.
Reason: Sparking is due to large self-induced emf in the circuit during the circuit break

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 17

When the iron is switched off, then the current starts dropping to zero in circuit, and thus, the magnetic field in the circuit drops. This causes the magnetic flux linked with loop to decrease. Due to self-induction, the current still tries to continue to flow. This causes the spark.
So, both Assertion and Reason are true and Reason is the correct explanation for the Assertion.

EmSAT Physics Mock Test- 1 - Question 18

For the given circuit, calculate the current which is given by the battery:

(i)  just after closing the key.
(ii) long time after closing the key.

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 18

JUST AFTER CLOSING THE KEY
Let t = 0 be the time when we need to find the current, i.e., when the switch is just turned on. The inductor opposes the flow of current and behaves as an open circuit. So the current will flow only in the 2 Ω and 3 Ω resistors.
The equivalent resistance of the circuit is,
Rs = 2 + 3 = 5 Ω
So, 

LONG TIME AFTER CLOSING THE KEY
After a long time, the inductor does not oppose the flow of current and hence acts as a short circuit.
Now, the equivalent resistance of the circuit is,

EmSAT Physics Mock Test- 1 - Question 19

The current i in an inductance coil varies with time t according to following graph,

Which one of the following graphs shows the variations of voltage in the coil?

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 19

The potential difference across the inductor is


The slope of the curve is positive and constant for the first half of the time and then negative and a constant value.

EmSAT Physics Mock Test- 1 - Question 20

A transformer is used to light a 100 W and 110 V lamp from a 220 V mains. If the main current is 0.5 A, the efficiency of the transformer is approximately

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 20

The efficiency of transformer

EmSAT Physics Mock Test- 1 - Question 21

An electron, a proton and an alpha particle having the same kinetic energy are moving in circular orbits of radii re, rp, rα respectively in a uniform magnetic field B. The relation between re, rp, rα is:

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 21

 For electron, Where, me is the mass of an electron. m = the mass of a proton. For alpha particles,  charge on proton. For proton, 

EmSAT Physics Mock Test- 1 - Question 22

The magnetic field inside a solid conducting long wire at distance r from its axis is given as B = B0r3 where B0 is constant. Which of the following relations correctly represents current enclosed in the loop of radius r shown in figure:

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 22

EmSAT Physics Mock Test- 1 - Question 23

Two short bar magnets with magnetic moments 400 ab-amp cm2 and 800 ab-amp cm2 are placed with their axis in the same straight line with similar poles facing each other and with their centers at 20 cm from each other. Then the force of repulsion is

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 23

EmSAT Physics Mock Test- 1 - Question 24

A magnetic needle lying parallel to a magnetic field required W units of work to turn it through 60°. The torque required to maintain the needle in this position will be

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 24

Work done by magnetic field is given by 

∵ Potential energy of needle is given by

Torque experienced by the needle in final position is 

Hence, the torque needed to maintain the needle in this position is √3W.

EmSAT Physics Mock Test- 1 - Question 25

A coil PQRS carrying a current i A is placed in a powerful horse shoe magnet NS of uniform magnetic field  as shown in the figure. If A is the area of the coil and θ is the inclination of the plane of the coil with the magnetic field in equilibrium, then, the deflecting couple will be,

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 25

When θis the angle made by the magnetic field with the BA cosθ plane of the coil, the field component parallel to the coil is Deflecting couple = torque on the loop = Bi A cosθ.

EmSAT Physics Mock Test- 1 - Question 26

A charge moving with velocity v in X - direction is subjected to a field of magnetic induction in negative X - direction. As a result, the charge will

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 26

The force acting on a charged particle in magnetic field is given by  when angle between v and B is 180o , F = 0.

EmSAT Physics Mock Test- 1 - Question 27

Three long wires, with identical currents, either directly into or directly out of the page, are placed at three corners of a square in four different arrangements as shown. The correct order of the magnitude of the net magnetic field at the centre of the square is
(I) 

(II) 

(III) 

(IV) 

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 27

In figure II and III field due to three wires add up. Hence, the magnitude is same. In figure I and IV field due to two wires cancel and the field is only due to third wire.
∴ BI = BIV < BII = BIII

EmSAT Physics Mock Test- 1 - Question 28

An electron moving around the nucleus with an angular momentum l has a magnetic moment

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 28

EmSAT Physics Mock Test- 1 - Question 29

An iron rod of volume 10−3 m3 and relative permeability 1000 is placed as core in a solenoid with 10 turns cm−1. If a current of 0.5 A is passed through the solenoid, then the magnetic moment of the rod will be :

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 29

Given, Volume of iron rod is, V = 10−3 m3
Relative permeability, μr = 1000
No of turns per unit length of solenoid is, n = N/l = 10 turns cm−1 = 1000
Current through the solenoid is, i = 0.5 A
Magnetic moment of an iron core solenoid is given by,

EmSAT Physics Mock Test- 1 - Question 30

A uniform magnetic needle is suspended from its centre by a thread. Its upper end is now loaded with a mass 50 mg , and the needle becomes horizontal. If the strength of each pole is 98.1 A cm and g = 981 cm s−2, then the vertical component of earth's magnetic induction is

Detailed Solution for EmSAT Physics Mock Test- 1 - Question 30

As shown in figure,
mass M = 50mg = 50 × 10−3g
Strength of each pole,
m = 98.1 amp cm , g = 981 cm s−2, V = ?

In equilibrium, mV × 2l = Mg × l

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