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JEE Main Practice Test- 22 - Question 1

The frequency for which a 5 μF capacitor has a reactance of 1/1000 ohm is given by

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JEE Main Practice Test- 22 - Question 2

If the instantaneous current in a circuit is given by: I = 2cos(ω t + φ)A, then r.m.s. value of the current is

JEE Main Practice Test- 22 - Question 3

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JEE Main Practice Test- 22 - Question 4

To see first 20 lines of Balmer series distinctly, minimum resolving power of instrument should be

JEE Main Practice Test- 22 - Question 5

In which of the following systems will the radius of the first orbit (n = 1) be minimum

JEE Main Practice Test- 22 - Question 6

A ball weighing 10 g hits a hard surface vertically with a speed of 5 ms⁻^{1} and rebounds with the same speed. The ball remains in contact with the surface for 0.01 s. The average force exerted by the surface on the ball is

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JEE Main Practice Test- 22 - Question 7

A dipole of dipole moment p̅ is placed in uniform electric field E̅, then torque acting on it is given by

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JEE Main Practice Test- 22 - Question 8

In a certain 0.1m^{3} of space, electric potential is found to be 5*V* throughout. The electric field in this region is

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JEE Main Practice Test- 22 - Question 9

A ball of mass 0.25 kg attached to the end of a string of length 1.96 m is moving in a horizontal circle. The string will break if the tension is more than 25 N. What is the maximum speed with which the ball can be moved?

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JEE Main Practice Test- 22 - Question 10

A ball of mass m strikes elastically a wall at an angle of 30º with velocity ν. The change in momentum is

JEE Main Practice Test- 22 - Question 11

A current passing through a circular coil of two produces a magnetic field of 8 T at its centre. The coil is then rewound, so as to have four turns and current is passed through it is doubled. Now magnetic field at the centre of the coil will be

JEE Main Practice Test- 22 - Question 12

The following figure shows a logic gate circuit with two inputs A and B and the output C. The voltage waveforms of A, B and C are as shown below.

The logic circuit gate is

JEE Main Practice Test- 22 - Question 13

Sixty four spherical rain drops of equal size are falling vertically through air with a terminal velocity 1.5 m-s⁻^{1} If these drops coalesce to form a big spherical drop, then terminal velocity of big drop is

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JEE Main Practice Test- 22 - Question 14

An aeroplane is flying horizontally with a velocity of 600 km/h and at a height of 1960 m. When it is vertically at a point A on the ground, a bomb is released from it. The bomb strikes the ground at point B. The distance AB is

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JEE Main Practice Test- 22 - Question 15

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-

Assertion(A): When charges are shared between two bodies, there occurs loss of energy.

Reason(R): In case of sharing of charges, conservation of energy fails.

Detailed Solution for JEE Main Practice Test- 22 - Question 16

JEE Main Practice Test- 22 - Question 17

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-

Assertion(A): For refraction in a plane surface v can be used for the light moving from μ_{1} to μ_{2}.

Reason(R): for light getting into a medium of index μ_{2} from μ_{1}.

JEE Main Practice Test- 22 - Question 18

The moment of inertia of a uniform disc about an axis passing through its centre and perpendicular to its plane is 1kg - m^{2}. It is rotating with an angular velocity 100 radians/second. Another identical disc is gently placed on it so that their centres coincide. Now these two discs together continue to rotate about the same axis. Then the loss in kinetic energy in kilo joules is

JEE Main Practice Test- 22 - Question 19

For a gas, if the ratio of specific heats at constant pressure and volume is γ, then the value of degree of freedom is

JEE Main Practice Test- 22 - Question 21

The penetration of light into the region of geometrical shadow is called

JEE Main Practice Test- 22 - Question 23

When a star moves away from earth, the spectrum of the star shifts towards higher wavelength side. This is due to

JEE Main Practice Test- 22 - Question 24

A metal wire of linear mass density 9.8 g/m is stretched with a tension of 10 kg wt between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet and it vibrates in resonance when carrying an alternating current of frequency n. The frequency n of alternating source is

Detailed Solution for JEE Main Practice Test- 22 - Question 24

JEE Main Practice Test- 22 - Question 25

Which of the following will give maximum ions in solution ?

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JEE Main Practice Test- 22 - Question 26

According to the Bohr model, electrons of quantum number *n* = 4 in excited hydrogen atoms can undergo transitions to lower energy states in different ways and give rise to photons of discrete frequencies. How many discrete frequencies are possible in this case?

JEE Main Practice Test- 22 - Question 27

A parallel plate capacitor with air between the plates has a capacitance of 9 pF. The separation between its plates is 'd' . The space between the plates is now filled with two dielectrics. One of the dielectrics has dielectric constant K_{1} = 3 and thickness d 3 while the other one has dielectric constant K_{2} = 6 and thickness. 2d 3 Capacitance of the capacitor is now

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JEE Main Practice Test- 22 - Question 28

The angular speed of an engine wheel making 90 revolutions per minute is

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JEE Main Practice Test- 22 - Question 30

An electron moves in a circular orbit with a uniform velocity v. It produces a magentic field B at the centre of the circle. The radius of the circle is proportional to

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JEE Main Practice Test- 22 - Question 31

Two identical conducting spheres, each of radius *R*, carry charges *+Q* and -*Q/2* respectively. When the distance between their centres is *d(d > 2R)*, the attractive force between them is *F*. The spheres are now brought into contact and then separated to the initial distance *d*. The force between the spheres is now

JEE Main Practice Test- 22 - Question 32

3 moles of ethanol react with one mole of phosphorus tribromide to form 3 moles of bromoethane and one mole of *X*. Which of the following is *X*?

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JEE Main Practice Test- 22 - Question 35

An equilibrium mixture for the reaction

2A_{2}B_{(g)} ⇌ 2A_{2(g)} + B_{2(g)} had 0.5, 0.1 and 0.4 moles of A_{2}B, and A_{2} and B_{2} in a two litre vessel respectively the equilibrium constant (K) is__

JEE Main Practice Test- 22 - Question 36

In a reaction : A → B, the rate of reaction, increases two times, on increasing the concentration of reactants four times. Then, order of reaction is

JEE Main Practice Test- 22 - Question 37

Calculate the difference between the Δ E AND Δ H for the following reaction at 2º C (in *K.cal*)

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JEE Main Practice Test- 22 - Question 38

Which pair of elements of atomic numbers given below will have similar chemical properties?

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JEE Main Practice Test- 22 - Question 42

When HCl gas is passed through a saturated solution of common salt, pure NaCl is precipiated because

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JEE Main Practice Test- 22 - Question 43

The electrode potentials of half-cell reactions are: Zn → Zn^{2}⁺ + 2e⁻ ; E = -0.76 V and Fe → Fe^{2⁺} + 2e⁻ ; E=0.41 V. The e.m.f. of the cell Fe^{2}⁺ + Zn → Zn^{2}⁺ + Fe is

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JEE Main Practice Test- 22 - Question 44

Which of the following will act as Lewis base, nucleophilic reagent as well as ligand in complex compound ?

JEE Main Practice Test- 22 - Question 45

Sodium carbonate cannot be used in place of ammonium carbonate for the identification of the fifth group radicals . This is because the

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JEE Main Practice Test- 22 - Question 49

Which of the following isomers will have the highest octane number ?

JEE Main Practice Test- 22 - Question 50

A solid has a structure in which in which 'W' atoms are located at the corners of a cubic lattice, 'O' atoms at the centre of edges and 'Na' atoms at the centre of the cube. The formula for the compound is

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JEE Main Practice Test- 22 - Question 52

The lowering in vapour pressure, caused by the addition of 100 g of surcose (molecular weight = 342) in 1000 g of water, if the vapour pressure of pure water at 25ºC is 23.8 mm of Hg, is

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JEE Main Practice Test- 22 - Question 53

A 0.6% solution of urea (molecular weight = 60) would be isotonic with

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JEE Main Practice Test- 22 - Question 57

Given : C + 2S→CS₂ ; ∆H = 117 KJ

C + O₂→CO₂; ∆H = -393 KJ

S + O₂→ ; ∆H = -297 KJ

The heat of combustion of CS₂ to form CO₂ and SO₂ is

JEE Main Practice Test- 22 - Question 58

The equation for an overall reaction is M+ 2N → X + Y; therefore, the rate equation for this reaction is__

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JEE Main Practice Test- 22 - Question 59

The oxidation number of the central metal ion in Wilkinson's catalyst is__

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JEE Main Practice Test- 22 - Question 60

The Beilstein test for organic compounds is used to detect

JEE Main Practice Test- 22 - Question 61

The number of real solution of the equation x^{2} - 3∣x∣ 2 = 0 is :

JEE Main Practice Test- 22 - Question 62

If *'n'* is a positive integer, then *n*^{3} + 2*n* is divisible by

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JEE Main Practice Test- 22 - Question 63

the area of the ellipse x^{2}/a^{2} + y^{2}/b^{2} = 1 is

JEE Main Practice Test- 22 - Question 64

The locus of the points from which the lengths of the tangents to the two circles *x ^{2} + y^{2} + 4x + 3 = 0, x^{2} + y^{2} - 6x + 5 = 0* are in the ratio 2:3 is a circle with centre

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JEE Main Practice Test- 22 - Question 66

The equation of the circle described on the common chord of the circles x^{2} + y^{2-}8x + y -15 = 0 and x^{2}+ y^{2 }- 4x + 4y - 42 = 0 as diameter is

JEE Main Practice Test- 22 - Question 68

The solution of the differential equation *cos(x + y)dy = dx* is

JEE Main Practice Test- 22 - Question 70

Let f : Z → Z be defined as f x = x^{2} , x ∈ Z. The function f is

JEE Main Practice Test- 22 - Question 71

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-

Assertion(A):The determinants are not identically equal.

Reason(R): If two rows (or columns) of a determinant are identical, then value of the determinant is zero.

JEE Main Practice Test- 22 - Question 72

Ajay runs a mile in 8 minutes. At this rate how long will it take him to run a 26-mile marathon?

Which of the following problems can be solved using the same arithmetic operations that are used to solve the problem above?

Detailed Solution for JEE Main Practice Test- 22 - Question 72

JEE Main Practice Test- 22 - Question 73

The system of equations x+y+z=6, x+2y+3z=10. x+2y+λz=12 is inconsistent, if

JEE Main Practice Test- 22 - Question 74

In the following question, a Statement-1 is given followed by a corresponding Statement-2 just below it. Read the statements carefully and mark the correct answer-

Statement-1:

The curve is symmetric with respect to the line x = 1.

Statement-2:

A parabola is symmetric about its axis.

JEE Main Practice Test- 22 - Question 76

A polygon has 44 diagonals. The number of its sides is

JEE Main Practice Test- 22 - Question 77

A pair of dice is thrown and the numbers appearing have sum greater than or equal to 10. The probability of getting 10 is

JEE Main Practice Test- 22 - Question 78

Which of the following is not a measure of central tendency?

JEE Main Practice Test- 22 - Question 79

The plane XOZ divides the join of (1, -1, 5) and (2, 3, 4) in the ratio λ : 1, then λ is

JEE Main Practice Test- 22 - Question 80

Angle of intersection of the curves y=4-x^{2 }and y=x^{2} is

JEE Main Practice Test- 22 - Question 81

The equation of line passing through (c,d) and parallel to ax+by+c=0 is

JEE Main Practice Test- 22 - Question 82

The one root of the equation cos x-x+(1/2)=0 lies in the interval

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JEE Main Practice Test- 22 - Question 83

The unit normal vector to the line joining i-j and 2i+3j towards origin is

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JEE Main Practice Test- 22 - Question 86

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-

Assertion(A):

Reason:

Detailed Solution for JEE Main Practice Test- 22 - Question 88

JEE Main Practice Test- 22 - Question 89

If *x + y* = 12, then the minimum value of *x ^{2} + y^{2}* is

JEE Main Practice Test- 22 - Question 90

Consider an infinite series with first term 'a' and common ration 'r'. If it sum is 4 and the second term is 3/4, then

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