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30 Questions MCQ Test COMEDK Mock Test Series - COMEDK Mock Test - 3

COMEDK Mock Test - 3 for JEE 2026 is part of COMEDK Mock Test Series preparation. The COMEDK Mock Test - 3 questions and answers have been prepared according to the JEE exam syllabus.The COMEDK Mock Test - 3 MCQs are made for JEE 2026 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for COMEDK Mock Test - 3 below.
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COMEDK Mock Test - 3 - Question 1

Two metallic blocks M1 and M2 of the same area of cross-section are connected to each other (as shown in the figure). If the thermal conductivity of M2 is K, then the thermal conductivity of M1 will be:
[Assume steady state heat conduction]

Detailed Solution for COMEDK Mock Test - 3 - Question 1

Thermal current is same so

⇒ K' = 8 K

COMEDK Mock Test - 3 - Question 2

The phase difference between the alternating current and emf is π/2. Which of the following cannot be the constituent of the circuit?

Detailed Solution for COMEDK Mock Test - 3 - Question 2
If the phase difference between V and I is π/2

∴ Power = V .I = V I cosπ/2 = 0

Since power is 0 it should only consists of reactive elements (L & C), Resistance R cannot be present.

COMEDK Mock Test - 3 - Question 3

When a wave traverses a medium, the displacement of a particle located at x at time t is given by y = a sin (bt - cx) where a, b and c are constants of the wave. The dimensions of b/c are the same as those of

Detailed Solution for COMEDK Mock Test - 3 - Question 3

Argument of sin is dimensionless and using principle of dimensional homogeneity, we get
∣bt∣=∣cx∣=[M0L0T0]
Thus, ∣b∣=T−1 and ∣c∣=[L−1]
Thus, dimensions of b/c are [LT−1], which is the same as the velocity of wave.

COMEDK Mock Test - 3 - Question 4

Half-life of a radioactive substance A is 4 days. The probability of a nucleus that, from the given sample that it will decay in two half-lives is

Detailed Solution for COMEDK Mock Test - 3 - Question 4
After two half-lives 1/4 th fraction of nuclei will remain undecayed. Or, 3/4 th fraction will decay. Hence, the probability that a nucleus decays in two half lives is 3/4
COMEDK Mock Test - 3 - Question 5

Two bulbs consume the same power when operated at 200 V and 300 V respectively. When these bulbs are connected in series across a DC source of 400 V, then the ratio of power consumed across them is

Detailed Solution for COMEDK Mock Test - 3 - Question 5

When bulbs are connected in series, the current I is same through each. As P = I2 R or P ∝ R( as I is same in series),

So,

COMEDK Mock Test - 3 - Question 6

One main scale division of a vernier calliper is 'a' cm and nth division of the vernier scale coincides with (n - 1)th division of the main scale. The least count of the callipers in mm is:

Detailed Solution for COMEDK Mock Test - 3 - Question 6

(n - 1)a = n(a')

∴ L.C. = 1 MSD - 1 VSD
= (a - a') cm

COMEDK Mock Test - 3 - Question 7

In the circuit shown in figure, A and B are two cells of the same emf, E and of internal resistances rA and rB, respectively. L is an ideal inductor and C is an ideal capacitor. The key K is closed. When the current in the circuit becomes steady, what should be the value of R so that the potential difference across the terminals of cell A is zero?

Detailed Solution for COMEDK Mock Test - 3 - Question 7

When the key, K is inserted, the current starts growing and after some time it acquires a steady value. At this stage, no current flows through the capacitor (because an ideal capacitor offers an infinite resistance to a steady current). All the current flows through the inductor (because an ideal inductor offers zero resistance to a steady current). Now, the network of resistors is a balanced wheatstone bridge. Hence, no current flows through the resistance 2R. Therefore, this resistance can be ignored. The net resistance between points X and Y = resistance of the parallel combination of 2 R and 2 R = = R

Hence, the current in the circuit is

I =

Now, the terminal voltage of cell A is

2rA = R + rA + rB or R = rA – rB

So, the correct choice is (a).

COMEDK Mock Test - 3 - Question 8

A body is projected up a smooth inclined plane with velocity v from the point A as shown in the figure. The angle of inclination is 45° and the top is connected to a well of diameter 40 m. If the body just manages to cross the well, what is the value of v? Length of the inclined plane is 20√2 m.

Detailed Solution for COMEDK Mock Test - 3 - Question 8

COMEDK Mock Test - 3 - Question 9

A fly wheel is accelerated uniformly from rest and rotates through 5 rad in the first second. The angle rotated by the fly wheel in the next second will be:

Detailed Solution for COMEDK Mock Test - 3 - Question 9

COMEDK Mock Test - 3 - Question 10

In an adiabatic process internal energy of gas

Detailed Solution for COMEDK Mock Test - 3 - Question 10

From the first law of thermodynamics,
we know, dU = dQ - dW ; (work done BY the system is considered +ve)
For an adiabatic process, dQ = 0, and hence, dU = -dW
For an ideal gas expansion, we see that work done
BY the system is +ve (recall the sign convention for work done), i.e., dW > 0.
Therefore, dU is less than 0, and thus, the internal energy decreases.

COMEDK Mock Test - 3 - Question 11

A charge Q is moving distance in the magnetic field  Find the value of work done by 

Detailed Solution for COMEDK Mock Test - 3 - Question 11

Since force on a point charge by magnetic field is always perpendicular to  work by magnetic force on the point charge is zero.

COMEDK Mock Test - 3 - Question 12

The quantity of electricity required to liberate 112 cm3 of hydrogen at STP from acidified water is

COMEDK Mock Test - 3 - Question 13

When ether is exposed in air for sometime, an explosive substance produced is

COMEDK Mock Test - 3 - Question 14

Use of hot air balloons in sports and metereological observations is an application of

COMEDK Mock Test - 3 - Question 15

Zn2+aq) + 2e- → Zn(s). This is

COMEDK Mock Test - 3 - Question 16

Which of the following does not give red ppt. with Fehling solution?

COMEDK Mock Test - 3 - Question 17

An aldehyde on oxidation gives

COMEDK Mock Test - 3 - Question 18

Irrespective of the source, pure sample of water always yields 88.89% mass of oxygen and 11.11% mass of hydrogen. This is explained by the law of

COMEDK Mock Test - 3 - Question 19

If the pressure on a NaCl structure is increased, then its co-ordination number will

COMEDK Mock Test - 3 - Question 20

The structure shown below is of which well-known drug molecule?

Detailed Solution for COMEDK Mock Test - 3 - Question 20

The given structure is that of cimetidine which is a well-known antacid.

COMEDK Mock Test - 3 - Question 21

The metal ion (in gaseous state) with lowest spin-only magnetic moment value is

Detailed Solution for COMEDK Mock Test - 3 - Question 21


Since Ni2+ has the least number of unpaired electrons, Ni2+ will have the lowest spin-only magnetic moment value.

COMEDK Mock Test - 3 - Question 22

At 25°C and 1 atm pressure, the enthalpy of combustion of benzene (I) and acetylene (g) is -3268 kJ mol-1 and -1300 kJ mol-1, respectively. The change in enthalpy for the reaction 3C2H2(g) → C6H6(l) is

Detailed Solution for COMEDK Mock Test - 3 - Question 22


Applying Hess's law of constant heat summation,
ΔH3 = 3 × ΔH2 - ΔH1
= 3 × (-1300) - (-3268)
= -632 kJ mol-1

COMEDK Mock Test - 3 - Question 23

If  are unit vectors and then the value of is equal to

COMEDK Mock Test - 3 - Question 24

Consider A, B, C and D with position vectors 7î - 4ĵ + 7k̂, î - 6ĵ + 10k̂, -î -3ĵ + 4k̂ and 5î - ĵ + 5k̂ respectively. Then ABCD is a

COMEDK Mock Test - 3 - Question 25

If P(S) = 0.3, P(T) = 0.4, S and T are independent events, then P(S/T)=

Detailed Solution for COMEDK Mock Test - 3 - Question 25

For two independent events S & T,

P(S∩T) = P(S)P(T)  ...(i)

COMEDK Mock Test - 3 - Question 26

How many different nine-digit numbers can be formed from the number 2, 2, 3, 3, 5, 5, 8, 8, 8 by rearranging its digit so that the odd digits occupy even positions?

Detailed Solution for COMEDK Mock Test - 3 - Question 26

X__X__X__X__X.

The four digits 3, 3, 5, 5 can be arranged at 4 places in 
The five digits 2, 2, 8, 8, 8, 8 can be arranged at X places in 
∴ Total number of arrangements = 6 × 10 = 60 ways

COMEDK Mock Test - 3 - Question 27

The eccentricity of the hyperbola in the standard form  passing through (3, 0) and (3√2, 2) is

Detailed Solution for COMEDK Mock Test - 3 - Question 27

 passes through (3, 0) and (3√2, 2)
 
and 
 
 

COMEDK Mock Test - 3 - Question 28

The domain of the real-valued function f(x) =  is

Detailed Solution for COMEDK Mock Test - 3 - Question 28

COMEDK Mock Test - 3 - Question 29

What is the solution of the differential equation 2x3y dy + (1 - y2)(x2y+ y- 1) dx = 0?

Detailed Solution for COMEDK Mock Test - 3 - Question 29

2x3y dy + (1 - y2)(x2y+ y- 1) dx = 0


Put 

Solving, we get:



COMEDK Mock Test - 3 - Question 30

A unit vector in xy-plane, which makes an angle of 45° with the vector  and an angle of 60° with the vector , is

Detailed Solution for COMEDK Mock Test - 3 - Question 30

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