SRMJEE Mock Test (Engg) - 9


105 Questions MCQ Test SRMJEEE Subject Wise & Full Length Mock Tests | SRMJEE Mock Test (Engg) - 9


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Attempt SRMJEE Mock Test (Engg) - 9 | 105 questions in 150 minutes | Mock test for JEE preparation | Free important questions MCQ to study SRMJEEE Subject Wise & Full Length Mock Tests for JEE Exam | Download free PDF with solutions
QUESTION: 1

A series A.C. circuit consist of an inductor and a capacitor. The inductance and capacitance is respectively 1 henry and 25μF. If the current is maximum in circuit then angular frequency will be

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QUESTION: 2

The mass of an α-particle is

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QUESTION: 3

A body 'x' with a momentum 'P' collides with another identical stationary body 'y' one dimensionally. During the collision 'y' gives an impulse 'j' to the body 'x'. Then the coefficient of restitution is

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QUESTION: 4

The driver of a car travelling at velocity υ suddenly see a broad wall in front of him at a diatance d. He should

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QUESTION: 5

A metal bar of length L and area of cross-section A is clamped between two rigid supports. For the material of the rod, its Young's modulus is Y and coefficient of linear expansion is α. If the temperature of the rod is increased by ∆tºC, the force exerted by the rod on the supports is

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QUESTION: 6

Two electric bulbs A and B rated as 60 W and 100 W. If they are connected in parallel to the same source, then

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QUESTION: 7

According to photon theory of light which of the following physical quantities associated with a photon do not/does not change as it collides with an electron in vacuum

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QUESTION: 8

A coil having 500 square loops of side 10 cm is placed normal to magnetic field which increases at a rate of 1 T/sec. The induced e.m.f. is

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QUESTION: 9

A body of 2 gm carrying a charge of 0.1 μC starts from rest at the positive plate and moves to the negative plate of a parallel plate condenser connected to a voltage supply of 30KV. The final velocity is

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QUESTION: 10

If two input terminals of NANS gate are shorted, then it is equivalent to:

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QUESTION: 11

One feels hotter at the top of a flame than the sides because of

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QUESTION: 12

A satellite which is geostationary in a particular orbit is taken to another orbit. Its distance from the centre of earth in new orbit is 2 times that of the earlier orbit. The time period in the second orbit is

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QUESTION: 13

A 30 kg box has to move up an inclined slope of 30º to the horizontal at a uniform velocity of 5 m s − 1 . If the frictional force retarding the motion is 150N, the horizontal force in newton to move up is (g = 10ms−2 ).

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QUESTION: 14

Maximum density of H₂O is at the temperature

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QUESTION: 15

A force of 10 N acts on a body of mass 20 kg for 10 seconds. Change in its momentum is

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QUESTION: 16

A charged particle is released from rest in a region of steady and uniform electric and magnetic fields, which are parallel to each other. The particle will move in a

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QUESTION: 17

A short magnetic needle is pivoted in a uniform magnetic field of strength 1 T. When another magnetic field of strength √3 T is applied to the needle in a perpendicular direction, then the angle through which the needle will deflect, is

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QUESTION: 18

Oil spreads over the surface of water, whereas water does not spread over the surface of oil, because

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QUESTION: 19

Which of the following is a scalar quantity?

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QUESTION: 20

A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be

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QUESTION: 21

The average resisting force that must act on a 5 kg mass to reduce its speed from 65 cm/s to 15 cm/s in 0.2s is

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QUESTION: 22

Average value of K.E. and P.E. over entire time period is

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QUESTION: 23

If the horizontal range of a projectile is equal to the maximum height reached, then the corresponding angle of projection is

Solution:

Horizontal range = maximum height reached

tanθ = 4
θ = tan-1 4

QUESTION: 24

The Bernoulli's theorem is based on the conservation of

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QUESTION: 25

A ray of monochromatic light is incident on one refracting face of a prism of angle 75º . It passes through the prism and is incident on the other face at the critical angle. If the refractive index of the material of the Prism is √ 2 , the angle of incidence on the first face of the prism is

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QUESTION: 26

Two bodies of different masses of 2 kg and 4 kg are moving with velocities 2 m/s and 10 m/s towards each other due to mutual gravitational attraction. What is velocity of their centre of mass ?

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QUESTION: 27

The speed of a boat is 5km/h in still water. It crosses a river of width 1.0 km along the shortest possible path in 15 minutes. The velocity of the river is (in km/h)

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QUESTION: 28

The work done in blowing a soap bubble of radius r of the solution of surface tension T will be

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QUESTION: 29

A body at .... emits no heat energy.

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QUESTION: 30

The relation between Faraday constant (F), chemical equivalent (E) and electrochemical equivalent (Z) is

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QUESTION: 31

If a gas is heated at constant pressure, its isothermal compressibility

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QUESTION: 32

The dimensions of Planck's constant and angular momentum are respectively​

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QUESTION: 33

Who was the first to demonstrate the phenomenon of interference of light?

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QUESTION: 34

In a stationary wave, all particles are

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QUESTION: 35

A block of mass 1 kg slides down a rough inlclined plane of inclination 600 starting from its top. If coefficient of kinetic friction is 0.5 and length of the plane is 1 m, then work done against friction is

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QUESTION: 36

Ethylidene chloride on treatment with aq. KOH gives

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QUESTION: 37

What compound will form when phenol vapour is heated with zinc powder

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QUESTION: 38

When acetylene passed through dil. H2SO4 in presence of HgSO4, the compound formed is

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QUESTION: 39

Mark the compound which is soluble in hot water

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QUESTION: 40

 Product A is

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QUESTION: 41

The toal number of possible values of magnetic quantum number for the value of l=3 is

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QUESTION: 42

Galactose is converted into glucose in

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QUESTION: 43

The percentage of oxygen in NaOH is

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QUESTION: 44

How many σ and π bonds are there in the molecule of tetracyanoethylene ?

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QUESTION: 45

What is the main reason for the fact that carboxylic acids can undergo ionization?

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QUESTION: 46

RbO2 is

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QUESTION: 47

The standard molar heat of formation of ethane ,CO₂ and water (l) are respectively -21.0,-94.1 and -68.3 Kcal mol⁻1. The standard molar heat of combustion of ethane will be

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QUESTION: 48

when a catalyst is added to a reversible reaction in equilibrium state, the value of equilibrium constant

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QUESTION: 49

For the first order reaction with rate constant K, which expression gives the half-life period ?

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QUESTION: 50

Calculate enthalpy of formation of ethylene from the following data:

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QUESTION: 51

Arsenic drugs are mainly used in the treatment of

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QUESTION: 52

The systematic name of (CH₃)₂CH-COOH is

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QUESTION: 53

The ionisation potential is lowest for the

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In the periodic table, the ionisation potential is lowest for the alkali metals because the alkali metals have only one electron in the outermost s-orbital.

QUESTION: 54

The resistance of 1 N solution of acetic acid is 250 ohms when measured in a cell constant 1.5 cm ⁻1.The equivalent conductance of 1 N acetic acid in ohm⁻1 cm2 equiv⁻1 is

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QUESTION: 55

50 ml of hyffuses out through a small hole from a vessel in 20 minutes, time needed for 40 ml of oxygen to diffuse out is

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QUESTION: 56

When petroleum is heated gradually,the first batch of vapours evolved will be rich in

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QUESTION: 57

Which has the highest pH ?

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QUESTION: 58

n-Propyl alcohol and isopropyl alcohols are examples of

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QUESTION: 59

If 2.0 g of a radioactive isotope has-life of 20 hr., the half-life of 0.5 g of the same substance is

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QUESTION: 60

Which of the following does not ast as an intermediate in Hofmann rearrangement ?

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QUESTION: 61

Which of the following compound will give brisk effervescences of CO₂ on treatment with NaHCO₃ ?

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QUESTION: 62

Which is not the resonance structure of aniline?

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QUESTION: 63

Peptide bond is a key feature in

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QUESTION: 64

If 0.6387 of plantinichloride of a monoacid base on ignition gave 0.209g of platinum, then molecular weight of the base is

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QUESTION: 65

In which of the following reaction H₂O₂ is a reducing agent?

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QUESTION: 66

The structure of rock salt is

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QUESTION: 67

Which of the following aqueous solution will exhibit the highest boiling point?

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QUESTION: 68

20 litres of hydrogen gas weigh about

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QUESTION: 69

Two elements, X (at. wt. 75) and Y (at. wt. 16) combine to give a compound having 75.8% of X. The formula of the compound is

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QUESTION: 70

Which of the following is an incorrect statement for physiosorption?

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QUESTION: 71

The two curves x = y2, xy = a3 cut orthogonally at a point, then a2 =

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QUESTION: 72

The area contained between the curve xy = a2 , the vertical line x = a, x = 4a (a > 0) and x -axis is

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QUESTION: 73

If (1+x-2x2)6 = 1+ax+a2x3+a12x12, then the value of a₂+a₄+...+a₁₂ is

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QUESTION: 74

The reflextion of the point (4, -13) to the line 5 x + y + 6 = 0 is

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QUESTION: 75

The equation of the circle whose centre lies on x+2y-3=0 and passes through the intersection of x2+y2-2x-4y+1=0 and x2+y2-4x-2y+4=0 is

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QUESTION: 76

The real part of 1/(1-cosθ + i sinθ) is

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QUESTION: 77

If x+2y=1,(2,1) and 2 are the directrix, focus and eccentricity of the hyperbola, then its equation is

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QUESTION: 78

Let f(x) =


If f x is continuous at

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QUESTION: 79

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QUESTION: 80

If then x =

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QUESTION: 81

x dx+y dy+z dz=0 is the first-order differential equation of :

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QUESTION: 82

If x=a[(cost)+(log tan(t/2))], y=a sint, (dy/dx)=

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QUESTION: 83

∫[(x)/((x²-a²)(x²-b²))]dx=​A)[

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QUESTION: 84

The inverse of matrix

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QUESTION: 85

tan⁻¹(1/4) + tan⁻¹(2/9) is equal to

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QUESTION: 86

The value of the lim

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QUESTION: 87

A3 − 4A2 − 6A =

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QUESTION: 88

The maximum area of the rectangle that can be inscribed in a circle of radius r is

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QUESTION: 89

If the minimum value in a set is 15 and its range is 55, the maximum value of the set is

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QUESTION: 90

Inter Quartile Range is _____ of Quartile Deviation.

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QUESTION: 91

If Equation Ax2+2Bxy+Cy2+Dx+Ey+F=0 represent a pair of lines, then B2-AC is

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QUESTION: 92

The number of diagonals that can be drawn by joining the vertices of a heptagon is :

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QUESTION: 93

Let A and B be two independent events with probability P(A) : 0 < P (A)   < 1,
P (B)   : 0 < P (B)   < 1 , then

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QUESTION: 94

If the exradii of a triangle are in HP then the corresponding sides are in

Solution:

 are in AP 


⇒s-a, s-b,s-c are in AP

⇒ -a,-b,-c are in AP

QUESTION: 95

If 2a + 3b + 6c = 0, then at least one root of the equation ax2 + bx + c = 0 lies in the interval

Solution:

Take the equation 2ax3 + 3bx2 + 6cx = 0.
Clearly, x = 0, 1 are two roots.
Observe that ax2 + bx + c = 0 is the derived equation.
So, one root lies between 0 and 1.

QUESTION: 96

If y = xlog x , then dy/dx equals-

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QUESTION: 97

If A, B and C are non-empty sets, then (A - B} ∪ (B - A) equals

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QUESTION: 98

The sides of a triangle are x-3y=0, 4x+3y=5 and 3x+y=0. The line 3x-4y=0 passes through following

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QUESTION: 99

The sum of the series 1.32 + 2.52+ 3.72 +.....upto 20 terms is

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QUESTION: 100

If at any point on the curve y = f(x), the length of the subnormal is constant, then the curve will be a

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QUESTION: 101

In an experiment the success is twice that of failure. If the experiment is repeated 6 times, the probability that atleast 4 times favourable is

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QUESTION: 102

The number of solutions of 2sin2θ=4+3cosθ in the interval (0,2π) is

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QUESTION: 103

If A lies in the 2nd quadrant and 3 tan A+4=0 then the value of 2 cot A-5 cos A+sinA is equal to

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QUESTION: 104

If is equal to

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QUESTION: 105

The vector lies in the plane of vectors  which of the following is correct ?

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