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# SRMJEE Mock Test (Engg) - 7

## 105 Questions MCQ Test SRMJEEE Subject Wise & Full Length Mock Tests | SRMJEE Mock Test (Engg) - 7

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Attempt SRMJEE Mock Test (Engg) - 7 | 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

### The power factor of an A.C. circuit having resistance (R) and inductance (L) connected in series and an angular velocity is ω is

Solution:  Power factor = R/√(R^2 + L^2ω^2).
QUESTION: 2

Solution:
QUESTION: 3

### A mass of 12Kg at rest explodes into two pieces of masses 4Kg and 8Kg which move in opposite directions. If the velocity of 8Kg piece is 6 ms-1, then the kinetic energy of the other piece in joules is (Hint : Apply law of conservation of momentum)

Solution:
QUESTION: 4

A copper wire of resistance R is cut into ten parts of equal length. Two pieces each are joined in series and then five such combinations are joined in parallel. The new combination will have a resistance

Solution:
QUESTION: 5

Two racing cars of masses m₁ and m₂ are moving in circles of radii r₁ and r₂ respectively. Their speeds are such that each makes a complete circle in the same duration of time t. The ratio of the angular speed of the first to the second car is

Solution:
QUESTION: 6

The effective value of a.c. in a circuit is 10 A. The peak value of current is

Solution:
QUESTION: 7

4 eV is the energy of the incident photon and the work function in 2 eV. What is the stopping potential

Solution:
QUESTION: 8

To keep constant time, watches are fitted with balance wheel made of

Solution:
QUESTION: 9

The binary number 110000111101 corresponds to a hexadecimal number:

Solution:
QUESTION: 10

The force of gravitation is

Solution:
QUESTION: 11

A body of mass 100 g is sliding from an inclined plane of inclination 30º. What is the frictional force experienced if μ=1.7

Solution:
QUESTION: 12

A charged particle of mass 5 x 10−6 Kg is held stationary in space by placing it in an electric field of strength 106 NC−1 directed vertically downwards. The charge on the particle is (g = 10ms−2)

Solution:
QUESTION: 13

A black body of surface area 10 cm2 is heated to 127ºC and is suspended in a room at temperature 27ºC. The initial rate of loss of heat from the body to the room will be

Solution:
QUESTION: 14

Mean kinetic energy (or average energy) per gm molecule of a monoatomic gas is given by

Solution:
QUESTION: 15

A block of mass M is pulled along a horizontal frictionless surface by a rope of mass m. If a force P is applied at the free end of the rope, then force exerted by the rope on the block is

Solution:
QUESTION: 16

Susceptibility is positive and large for a

Solution:
QUESTION: 17

Water is flowing over a fixed horizontal surface. If the velocity gradient at a distance 10 cm above the surface is 2 s⁻1, then velocity of layer will be

Solution:
QUESTION: 18

When a charged particle moves perpendicular to a magnetic field, then

Solution:
QUESTION: 19

A ball is dropped on to the floor a height of 10 m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 seconds, what is the average acceleration during contact?

Solution:
QUESTION: 20

Consider the following statements
Assertion (A) : On a rainy day, it is difficult to drive a car or bus at high speed
Reason (R) : The value of coefficient of friction is lowered due to wetting of the surface
Of these statements

Solution:
QUESTION: 21

A man fires a bullet of mass 200 g at a speed of 5 m/s. The gun is of one kg mass. by what velocity the gun rebounds backwards

Solution:
QUESTION: 22

To make the frequency double of a spring oscillator, we have to

Solution:
QUESTION: 23

An aeroplane is flying at a constant horizontal velocity of 600 km/hr at an elevation of 6 km towards a point directly above the target on the earth's surface. At an appropriate time, the pilot releases a ball so that it strikes the target at the earth. The ball will appear to be falling

Solution:
QUESTION: 24

In a streamline flows if the gravitational head is h. The kinetic and pressure heads are

Solution:
QUESTION: 25

The surface tension of a liquid is 70 dynes/cm. It may be expressed in MKS system as

Solution:
QUESTION: 26

A beam of light incident on a plane mirror forms a real image on reflection. The incident beam is

Solution:
QUESTION: 27

A dancer on ice spins faster when she folds her arms. This is due to

Solution:
QUESTION: 28

If pressure at half the depth of a lake is equal to 2/3 pressure at the bottom of the lake then what is the depth of the lake

Solution:

Pressure at bottom of the lake
= P0 + hρg
and pressure at half the depth of a lake

QUESTION: 29

The pressure of a gas in a closed vessel is increased by 0.4%, if the temperature of the gas is increased by 1º C , the initial temperature of the gas is

Solution:
QUESTION: 30

A constant voltage is applied on a uniform wire, then the heat is produced. The heat so produced will be doubled, if

Solution:
QUESTION: 31

Critical temperature may be defined as the temperature

Solution:
QUESTION: 32

Dimensions of the following three quantities are the same

Solution:
QUESTION: 33

A train is approaching a platform with a velocity ν. The frequency heard by an observer standing at the station is

Solution:
QUESTION: 34

Equation of the progressive wave is given by : y = a sin π(40t - x) where a and x are in metre and t in second. The velocity of the wave is

Solution:
QUESTION: 35

n small balls each of mass m impinge elastically each second on a surface with velocity u. The force experienced by the surface will be

Solution:
QUESTION: 36

The compound which can form intramolecular hydrogen bond is

Solution:
QUESTION: 37

Which of the following reagents reacts differently with HCHO, CH3CHO and CH3COCH3?

Solution:

QUESTION: 38

When CHCl₃ is boiled with aqueous NaOH, it gives

Solution:
QUESTION: 39

Ferric ion forms a prussian blue coloured ppt. due to

Solution:
QUESTION: 40

The reaction of benzene with methyl chloride in presence of aluminium chloride is known is

Solution:
QUESTION: 41

The reaction, CH₂ = CH-CH₃ + HBr → CH₃CHBr - CH₃ is

Solution:
QUESTION: 42

The values of four quantum numbers of valence electron of an element X are n = 4, l = 0, m = 0, s = + 1/2 . The element is

Solution:
QUESTION: 43

A strangth chain hydrocarbon has the molecular formula C8H10. The hybridisation for the carbon atom from one end of the chain to the other are respectively sp3,sp2,sp2,sp3,sp2,sp2, sp and sp. The structure of the hydrocarbon is.

Solution:

QUESTION: 44

Which one of the following statements about fats is incorrect ?

Solution:
QUESTION: 45

Which of the following salt can be produced by the reaction of CO and caustic soda ?

Solution:
QUESTION: 46

According to VSEPR theory, shape of AB 3 molecule with one lone pair of electrons on A is

Solution:
QUESTION: 47

Free energy change for a reversible process is

Solution:
QUESTION: 48

Diazonium salt decomposes as C6H5N2+Cl → C6H5Cl + N2 . At 0ºC, the evolution of N2 becomes two times faster when the initial concentration of the salt is doubled. Therefore, it is

Solution:

For a first order reaction
r = k[A]
Hence when conc. of (C6H5N2+Cl)is doubled the conc. of nitrogen gets doubled.

QUESTION: 49

A and B are gaseous substances which react reversibly to give two gaseous substances C and D,accompanied by the liberation of heat.When the reaction reaches equilibrium,it is observed that Kp = Kc.The equilibrium cannot be disturbed by

Solution:
QUESTION: 50

Identify the correct statement regarding entropy

Solution:
QUESTION: 51

IUPAC name of CCl₃CH₂CHO is

Solution:
QUESTION: 52

Which of the following could act as a propellant for rockets?

Solution:
QUESTION: 53

Al3+ has a lower ionic radius than Mg2+ ion because

Solution:

Al3+ has a higher nuclear charge (+ 13) and consequently the larger force of attraction by the nucleus for the valence shell electrons than that of Mg2+ (+ 12).

QUESTION: 54

Corrosion is basically a

Solution:
QUESTION: 55

Dalton's law of partial pressure is not applicable to

Solution:
QUESTION: 56

Bond length Ethane (I), Ethene (II), Acetylene (III) and Benzene (IV) follows the order

Solution:
QUESTION: 57

In radioactive delay, which one of the following moves the fastest?

Solution:
QUESTION: 58

An organic compound will show optical isomerism if

Solution:
QUESTION: 59

Which buffer solution out of the following will have pH > 7?

Solution:
QUESTION: 60

Aniline reacts with KOH and phosgene to form

Solution:
QUESTION: 61

Maximum number of active hydrogens are present in

Solution:
QUESTION: 62

Select correct statements(s):

Solution:
QUESTION: 63

The fibre obtained by the condensation of hexamethylene diamine and adipic acid is

Solution:
QUESTION: 64

If 0.183 of an aromatic monobasic acid requires 15ml of N/10 sodium hydroxide for complete neutralisation, then molecular weight of the acid is

Solution:
QUESTION: 65

When iron or zinc is added to CuSO₄ solution, copper is precipitated. It is due to

Solution:
QUESTION: 66

Solution:
QUESTION: 67

Commerical HCl is said to be 12 N. If 8.3 c.c. of this acid is dissolved in water to make one litre solution, the normality of the resulting solution is

Solution:
QUESTION: 68

There is more deviation in the behaviour of a gas from the ideal gas equation PV = nRT

Solution:
QUESTION: 69

2 gram of sulphur is completely burnt in oxygen to form SO2. In this reaction what is the volume of oxygen consumed at STP in litres

Solution:
QUESTION: 70

In chemisorption, adsorption decreases after increase due to

Solution:
QUESTION: 71

For all real x, the minimum value of 1 - x + x2/1 + x + x2 is

Solution:
QUESTION: 72

To expand (1+2x)⁻1/2 as an infinite series, the range of x should be

Solution:
QUESTION: 73

The area bounded by the curve y2 = 9x and the lines x = 1, x = 4 and y = 0 in the first quadrant is

Solution:
QUESTION: 74

The incentre of triangle whose vertices are (0,0), (5,12) and (16,12) is

Solution:
QUESTION: 75

The equation of the circle whose centre is (0,0) and which passes thro' the point (4,-5) is

Solution:
QUESTION: 76

The complex numbers 1,-1,i√3 form a triangle which is

Solution:
QUESTION: 77

The tangent to the parabola y2=4ax and perpendicular line from the focus on it meet

Solution:
QUESTION: 78

The volume of a solid which is obtained by revolving area bounded by an ellipse x2+9y2=9 and straight line x+3y=3 about y-axis is

Solution:
QUESTION: 79

Given that the function f defined by is continuous . Then the value of k is

Solution:
QUESTION: 80

Solution:
QUESTION: 81

The order of the differential equation x2+y2+2gx+2fy+c=0, is

Solution:
QUESTION: 82

If y=log logx, ey(dy/dx)=

Solution:
QUESTION: 83

Solution:
QUESTION: 84

The matrix having the same matrix as its inverse is

Solution:
QUESTION: 85

sec2(tan⁻1 2) + cosec2(cot⁻1 3) =

Solution:
QUESTION: 86

Solution:
QUESTION: 87

If A is singular matrix of order n, then a (adj A) equals,

Solution:
QUESTION: 88

The maximum value of [(logx)/x] is

Solution:
QUESTION: 89

For the given data :- 1, 1, 0, 2, 3, 5, 5, 6, 8, 10, 11

Solution:

Mode = Median = 5

QUESTION: 90

The first quartile derived from a set of observations is 27 and its quartile deviation is 17. What is its third quartile?

Solution:
QUESTION: 91

Equation 9x2-6xy+y2+18x-6y+8=0 represents a pair of parallel lines, then distance between them is

Solution:
QUESTION: 92

In how many ways can a book or more than one book be chosen from 6 books?

Solution:
QUESTION: 93

If two dice are thrown, find the probability of getting an odd number of on one and multiple of 3 on the other is

Solution:
QUESTION: 94

If in a ∆ABC cosA=sinB cosC, then

Solution:
QUESTION: 95

If A = {1,2,3,4,5}, then the number of proper subsets of A is

Solution:
QUESTION: 96

α,β are be the root of x2-3x+a = 0 and γ, δ are the root of x2-12x+b = 0 and numbers α,β,γ,δ (in order) form an increasing G.P., then

Solution:
QUESTION: 97

If A is the single A.M. between two numbers a and b and S is the sum of n A.M.'s between them, then S/A depends upon

Solution:
QUESTION: 98

If y =  then  is given by -

Solution:
QUESTION: 99

The triangle formed by the tangent to the curve f(x) = x2 + bx - b at the point (1, 1) and the co-ordinate axes,lies in the first quadrant. If its area is 2, then the value of b is

Solution:
QUESTION: 100

A straight line makes angle 135º with x-axis and cut y-axis at distance -5 form origin. The equation of line is

Solution:
QUESTION: 101

The mean of a binomial distribution is 5, then its variance has to be

Solution:
QUESTION: 102

The number of roots of the equation x + 2 tanx = ( π/2 ) in interval [(0), (3 π/2 )] is

Solution:

we have 2 tan x = π/2 - x
the equation in the right hand side is a straight line from (0, π/2 ) to ( π/2 , 0) and further to (2π, - 3π/2 )
2 tan x (which is almost same as tan x), as x goes from 0 to π/2 , the value increases from 0 to ∞ and will intersect once in between.
from π/2 to π, 2 tanx comes from ∞ to 0 and will intersect again as the line will also be below x axis.
from π to 3π/2 , 2 tan x is above x axis and line is below x axis and hence, no point of intersection.
Hence, there are 2 roots of this equation

QUESTION: 103

The unit vector perpendicular to each of the vectors 2î-ĵ+k̂ and 3î+4ĵ is

Solution:
QUESTION: 104

sin50°-sin70°+sin10°=

Solution:
QUESTION: 105

If a = i + 2 j + 3k, b = - i + 2 j + k and c = 3 i + j and a + tb is perpendicular to c, the value of t is

Solution:

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