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This mock test of Part Test - 15 (JEE Advanced 2021) for JEE helps you for every JEE entrance exam.
This contains 60 Multiple Choice Questions for JEE Part Test - 15 (JEE Advanced 2021) (mcq) to study with solutions a complete question bank.
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QUESTION: 1

Two identical conducting balls A and B have positive charges q_{1} and q_{2} respectively. But q_{1} ≠ q_{2}. The balls are brought together so that they touch each other and then kept in their original positions. The force between them is ______.

Solution:

QUESTION: 2

How many 6mF, 200 V condensers are needed to make a condenser of 18 pF, 600 V?

Solution:

QUESTION: 3

A closed organ pipe and an open organ pipe of same length produce 2 beats/second while vibrating in their fundamental modes. The length of the open organ pipe is halved and that of closed pipe is doubled. Then, the number of beats produced per second while vibrating in the fundamental mode is ______.

Solution:

QUESTION: 4

A current of 5A is flowing at 220 V in the primary coil of a transformer. If the voltage produced in the secondary coil is 2200 V and 50% of power is lost, then the current in the secondary will be

Solution:

QUESTION: 5

A convex lens of focal length 30 cm produces 5 times magnified real image of an object. What is the object distance?

Solution:

QUESTION: 6

In a series resonant R-L-C circuit, the voltage across R is 100 V and the value of R = 1000 W. The capacitance of the capacitor is 2 ´ 10^{-6} F; angular frequency of AC is 200 rad s^{-1}. Then the P.D. across the inductance coil is ______.

Solution:

QUESTION: 7

There is a uniform magnetic field directed perpendicular and into the plane of the paper. An irregular shaped conducting loop is slowly changing into a circular loop in the plane of the paper. Then ______.

Solution:

QUESTION: 8

Two equal masses hang on either side of a pulley at the same height from the ground. The mass on the right is given a horizontal speed, after some time.

Solution:

QUESTION: 9

A metallic surface is irradiated with monochromatic light of variable wavelength. Above a wavelength of 5000 Å, no photoelectrons are emitted from the surface. With an unknown wavelength, a stopping potential of 3V is necessary to eliminate the photo current. The unknown wavelength is

Solution:

QUESTION: 10

Three liquids of equal masses are taken in three identical cubical vessels A, B and C. Their densities are P_{A}, P_{B} and P_{C} respectively. But P_{A} < P_{B} < P_{C}. The force exerted by the liquid on the base of the cubical vessel is ______

Solution:

QUESTION: 11

_{1} and q_{2} respectively. But q_{1} ≠ q_{2}. The balls are brought together so that they touch each other and then kept in their original positions. The force between them is ______.

Solution:

QUESTION: 12

Two tangent galvanometers A and B are identical except in their number of turns. They are connected in series. On passing a current through them, deflections of 600 and 300 are produced. The ratio of the number of turns in A and B is

Solution:

QUESTION: 13

Water is in streamline flow along a horizontal pipe with nonuniform cross-section. At a point in the pipe where the area of cross-section is 10 cm^{2}, the velocity of water is 1 ms^{-}^{1} and the pressure is 2000 Pa. The pressure at another point where the cross-sectional area is 5 cm^{2} is ______.

Solution:

*Multiple options can be correct

QUESTION: 14

A vertical capillary tube with inside radius 0.25 mm is submerged into water so that the length of its part over the water surface is equal to 25 mm. Surface tension of water is 73x10^{-3} N/m and angle of contact is zero degree for glass and water, acceleration due to gravity is 9.8 m/s^{2}. Then choose correct statement.

Where R is radius of meniscus and h is height of water in capillary tube.

Solution:

*Multiple options can be correct

QUESTION: 15

Ideal fluid flows along a atube of uniform cross section, located in a horizontal plane and bent as shown in figure. The flow is steady, 1 and 2 are two points in the tube. If P_{1} and P_{2} are pressure at the two points and v_{1} and v_{2} are the respective velocities, given that point 1 and 2 are at nearly same vertical level

Solution:

*Answer can only contain numeric values

QUESTION: 16

Four wires of equal length 2m are arranged as shown in the figure. Wires 2, 3 and 4 are of equal cross sectional area and wire 1 is of half the cross section of these wires. By how much distance pointer at point 5 must be moved to get null point in cm ?

Solution:

*Answer can only contain numeric values

QUESTION: 17

For the arrangement of the potentiometer shown in the figure, the balance point is obtained at a distance 75 cm from A when the key k is open.The second balance point is obtained at 60 cm from A when the key k is closed. Find the internal resistance (in ?) of the battery E_{1}.

Solution:

*Answer can only contain numeric values

QUESTION: 18

A cylinder fitted with a spring loaded piston shown in figure contains 0.01m^{3} gas at a pressure of 10^{5} Pa. The cross-sectional area of the piston is 0.05 m^{2}. Initially the spring does not touch the piston but atmospheric pressure of 10^{5} Pa acts on the piston. The gas is slowly heated till the volume is increased to three times the original value. If the force constant of the spring is 25 kN / m, calculate the work done (in Joule) by the gas.

Solution:

*Answer can only contain numeric values

QUESTION: 19

The intensity received at the focus of the lens is I when no glass slab has been placed in front of the slit. Both the slits are of the same dimension and the plane wavefront incident perpendicularly on them, has wavelength λ. On placing the glass slab, the intensity reduces to 3I/4 at the focus. Find out the minimum thickness of the glass slab (in Å) if its refractive index is 3/2. Given λ = 6933Å, µ = 1.5.

Solution:

*Answer can only contain numeric values

QUESTION: 20

A rod of length R and mass M is free to rotate about a horizontal axis passing through hinge P as shown in the figure. First it is taken aside such that it becomes horizontal and then released. At the lowest point the rod hits the block B of mass m and stops. If mass of rod is (√60) kg, find mass of the block if it just complete the circle.

Solution:

QUESTION: 21

Which among the following factors is the most important in making fluorine the strongest oxidizing halogen

Solution:

Hydration energy

QUESTION: 22

The standard electrode potential for the half cell reactions are:

Zn^{++} + 2e^{–} → Zn E° = – 0.76 V

Fe^{++} + 2e^{–} → Fe E° = – 0.44 V

The E.M.F. of the cell reaction :

Fe^{++} + Zn → Zn^{++} +Fe is

Solution:

QUESTION: 23

An elemental crystal has a density of 8570 kg m^{–3}. The packing efficiency is 0.68. If the closest distance between neighbouring atoms is 2.86 Å, the mass of one atom is(1 amu=1.66×10^{–27} kg)

Solution:

93 amu

QUESTION: 24

The value of DH for the reaction

X_{2}g + 4Y_{2(g)} Ý 2XY_{4(g)} is less than zero. Formation of XY_{4(g) }will be favoured at

Solution:

QUESTION: 25

The stabilization of a dispersed phase in a lyophobic colloid is due to:

Solution:

the formation of an electrical layer between two phases.

QUESTION: 26

Which of the following used is a promoter in Haber’s method to manufacture of ammonia

Solution:

Mo

QUESTION: 27

Calculate no. of stereogenic center in following molecule.

Solution:

**D**

Ans is 9

QUESTION: 28

The ease of liquification and polarizibility of noble gases decreases in the order

Solution:

He<Ne<Ar<Kr<Xe

QUESTION: 29

For a reversible reaction : X_{(g)} + 3Y_{(g)} ⇌ 2Z_{(g)}DH = –40 kJ the standard entropies of X, Y and Z arc 60, 40 and 50 JK^{–}^{1 }mol^{–}^{1 }respectively.The temperature at which the above reaction attains equilibrium is about

Solution:

QUESTION: 30

The rate constant, the activation energy, and the Arrhenius parameter of a chemical reaction at 25°C are 3.0×10^{–4} s^{–1} 104.4 kJ mol^{–1}, and 6.0 × 1014 s^{–1}, respectively. The value of the rate constant as T → ∞ is

Solution:

6.0×10^{14} s^{–1}

*Multiple options can be correct

QUESTION: 31

Solution:

**B,C**

*Multiple options can be correct

QUESTION: 32

Peroxodisulphate salts (e.g., Na_{2}S_{2}O_{8}) are strong oxidizing agents used as bleaching agents for fats, oils etc.

Given:

Solution:

**C,D**

QUESTION: 33

For the following reaction C_{6}H_{12}O_{6}(aq) + H_{2}(g) ⇌ C_{6}H_{14}O_{6}(aq)Which one of the following is **not** affected by the addition of catalyst?

Solution:

*Multiple options can be correct

QUESTION: 34

Which of the following is/are paramagnetic ?

Solution:

[Fe(NH_{3})_{6}]^{2+}

QUESTION: 35

Which of the following is correct option for free expansion of an ideal gas under adiabatic condition?

Solution:

*Answer can only contain numeric values

QUESTION: 36

The number of 3C–2e^{—} bond present in a diborane molecular are:

Solution:

0002

*Answer can only contain numeric values

QUESTION: 37

The freezing point of a 0.08 molal aqueous solution of NaHSO_{4} is – 0.372ºC. Calculate the % dissociation for the reaction at the given temperature

Solution:

0050

*Answer can only contain numeric values

QUESTION: 38

Solution:

0006

*Answer can only contain numeric values

QUESTION: 39

50 ml of 0.05 M Na_{2}CO_{3} is titrated against 0.1 M HCl. On adding 40 ml of HCl. pH of the solution will be:

[Given : For H2CO3 : , log3 = 0.477, log 2 = 0.3 ]

Express answer in nearest integer.

Solution:

0006

*Answer can only contain numeric values

QUESTION: 40

Of the following amines how many can give carbyl amine reaction.

Solution:

0003

QUESTION: 41

The number of positive integer that divides 10^{1005} but not 10^{1004} is

Solution:

QUESTION: 42

The sides of a triangle are the roots of the cubic equation x^{3} – 13x^{2} + 54x – 72 = 0 then the area of the triangle in square units is

Solution:

QUESTION: 43

The function f(x) = ax^{2} – c satisfies

–4 __<__ f(1) __<__ –1 and –1 __<__ f(2) __<__ 5. Which of the following statements is true ?

Solution:

QUESTION: 44

Which one of the following is present as an active ingredient in bleaching powder for bleaching action?

Solution:

QUESTION: 45

When sulphur dioxide is passed in an acidified K_{2}Cr_{2 }O_{7} solution, the oxidation state of sulphur is changed from

Solution:

QUESTION: 46

Arrange the following in the increasing order of their basic strengths :

CH_{3}NH_{2}, (CH_{3})_{2}NH, (CH_{3})_{3}N, NH_{3}

Solution:

QUESTION: 47

Solution:

QUESTION: 48

An ellipse E: and hyperbola ‘H’ whose length of transverse axis is equal to length of semi minor axis if ellipse E; are confocal. Point ‘P’ is the common point for E and H. If M_{1} and M_{2} are foot of perpendicular from point ‘P’ on the corresponding directrix of E and H respectively then (M_{1}M_{2}) is

Solution:

QUESTION: 49

The typical range of molar enthalpies for the strongest intermolecular (Hydrogen) bonds is

Solution:

QUESTION: 50

The ordered pair (a, b) such that x^{2} – x – 1 divides the polynomial ax^{9} + bx^{8} + 1 is

Solution:

*Multiple options can be correct

QUESTION: 51

The co-ordinates of the vertices A, B, C of a triangle ABC whose ortho centre is H(–3, 10) and circumcentre is O(–2, –3) and mid point of BC is D (1, 3) are

Solution:

**A, B & D Are correct Answers**

QUESTION: 52

The amount of heat evolved when 500 cm^{3} of 0.1 M HCI is mixed with 200 cm^{3}of 0.2 M NaOH is ______.

Solution:

QUESTION: 53

Standard electrode potential for Sn^{4+} / Sn^{2+} couple is +0.15 V and that for the Cr^{3+} / Cr couple is –0.74 V. These two couples in their standard state are connected to make a cell. The cell potential will be

Solution:

QUESTION: 54

_{A}, P_{B} and P_{C} respectively. But P_{A} < P_{B} < P_{C}. The force exerted by the liquid on the base of the cubical vessel is ______

Solution:

QUESTION: 55

Two steel wires of he same radius have their lengths in the ratio of 1:2. if they are stretched by the same force, then the strains produced in the two wires will be in the ratio of

Solution:

*Answer can only contain numeric values

QUESTION: 56

Find the numbers of points of intersection of curve sin x = cos y and circle x^{2} + y^{2} = 1.

Solution:

*Answer can only contain numeric values

QUESTION: 57

f(x) = cos^{–1} (cos x) and g(x) = sin^{–1} [x + 1] + cos^{–1} [x] (where [ * ] denotes greatest integer function), then find number of solutions of equation f(x) + g(x) = 3

Solution:

*Answer can only contain numeric values

QUESTION: 58

The probability that x^{3} + ax^{2} + bx + c is divisible by x^{2}+1. a,b,c, {1, 2, 3,... k} is P_{k}. Find

Solution:

*Answer can only contain numeric values

QUESTION: 59

If A_{1}A_{2},....A_{2n} is regular 2n side polygon. Find the ratio of number of obtuse triangles to the number of acute triangles formed by joining the vertices of the polygon

Solution:

*Answer can only contain numeric values

QUESTION: 60

f(x) and g(x) are polynomials of degree 3. g(α) =g’(α) = 0. then find the

number of different solutions of equation f(x) g’(x) + f’(x) g(x) = 0.

Solution:

### Syllabus covered in each Part Test of JEE Advanced

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### JEE-Advanced test to be held on July 3

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### JEE Advanced 2018

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