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AP EAMCET Mock Test - 8 - JEE MCQ


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30 Questions MCQ Test - AP EAMCET Mock Test - 8

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AP EAMCET Mock Test - 8 - Question 1

Two wires of equal length are placed perpendicular to the plane of paper at a distance of 5 cm from each other. If the currents flowing in first and second wires are 2 A and 5 A respectively in opposite direction, then the resultant magnetic field at mid-point of both the wires is

AP EAMCET Mock Test - 8 - Question 2

Which statement is true ?
(i) Kirchhoff's law is not equally applicable to both AC and DC.
(ii) Semiconductors have a positive temperature coefficient of resistance.
(iii) Meter bridge is least sensitive when the resistance of all the four arms of the bridge are of the same order .
(iv) The emf of a cell depends upon the size and area of electrodes.

AP EAMCET Mock Test - 8 - Question 3

The force experienced by the cathode rays when they pass through an electric field of intensity E → is

AP EAMCET Mock Test - 8 - Question 4

The resolving power of a telescope depends on

AP EAMCET Mock Test - 8 - Question 5

When a glass prism of refracting angle 600 is immersed in a liquid its angle of minimum deviation is 300 . The critical angle of glass with respect to the liquid medium is

AP EAMCET Mock Test - 8 - Question 6

A coil of wire of radius r has 600 turns and a self inductance of 108 mH. The self inductance of a similar coil of 500 turns will be

Detailed Solution for AP EAMCET Mock Test - 8 - Question 6

As L ∝ N2
∴ L = 108 x (500/600)2 = 75 mH

AP EAMCET Mock Test - 8 - Question 7

When current cahnge from + 2 A to -2 A in 0.05 s, an e.m.f. of 8 V is induced in a coil. The coefficient of self inductance of the coil is

AP EAMCET Mock Test - 8 - Question 8

A charge q is placed at the corner of a cube of side l. The electric flux passing through the cube is

Detailed Solution for AP EAMCET Mock Test - 8 - Question 8

Eight cubes, each side l, are required to form a Gaussian surface
So that the charge q at the corner of a small cube appears at the centre of the bigger cube
According to Gauss's law, the electric flux through the bigger cubes = q/∈0
Hence the electric flux through the given small cube =q/8∈0

AP EAMCET Mock Test - 8 - Question 9

How many moles of magnesium phosphate, Mg3 (PO4)2 will contain 0.25 mole of oxygen atoms?

Detailed Solution for AP EAMCET Mock Test - 8 - Question 9

Mg3(P04)→ 3Mg
→2 P
→ 8 mole oxygen
8 mole of oxygen - 1 mole Mg3 (P0)2
0.25 - ? 0.25/8 = 3 x 10-2

AP EAMCET Mock Test - 8 - Question 10

Which is the most suitable reagent for the following transformation?

Detailed Solution for AP EAMCET Mock Test - 8 - Question 10

AP EAMCET Mock Test - 8 - Question 11

The number of π-bonds present in benzoic acid molecule are

Detailed Solution for AP EAMCET Mock Test - 8 - Question 11
The number of π-bonds present in benzoic acid molecule are 4 (four). The structure of benzoic acid is as follows

AP EAMCET Mock Test - 8 - Question 12

The complex that can show fac-and mer-isomers is

Detailed Solution for AP EAMCET Mock Test - 8 - Question 12

Octahedral complexes with the general formula of [MX3Y3] can show fac-mer isomerism.
[Co(NH3)3(NO2)3] will show fac-and mer-isomers.

AP EAMCET Mock Test - 8 - Question 13

Consider the following reaction.

'A' and 'B' are

Detailed Solution for AP EAMCET Mock Test - 8 - Question 13

Since, Toulene is ortho/para-directing. therefore, product formed is:

Since, -CH3 group is ortho, para directing the minor product will be

Hence, the option (1) is correct.

AP EAMCET Mock Test - 8 - Question 14

y = A e+ B e2x + C e3x  satisfies the diferential equation

AP EAMCET Mock Test - 8 - Question 15

The condition for the roots of the equation (c2-ab)x2-2(a2-bc)x+(b2-ac)=d are equal, is

AP EAMCET Mock Test - 8 - Question 16

When two dice are thrown, the probability of getting the sum 10 or 11 is

AP EAMCET Mock Test - 8 - Question 17

For solving dy/dx=4x+y+1 suitable substitution is

AP EAMCET Mock Test - 8 - Question 18

The S.D. of 5 scores 1,2,3,4,5 is

AP EAMCET Mock Test - 8 - Question 19

The solution of (x + y + 1)  dy/dx = 1 is

Detailed Solution for AP EAMCET Mock Test - 8 - Question 19


⇒ z - log(z + 1) = x + c ⇒ x + y + 1 = log(x + y + 2) + x + c ⇒ y = log(x + y + 2) + log c
⇒ ey = (x + y + z)c ⇒ x + y + 2 = cey

AP EAMCET Mock Test - 8 - Question 20

If A and B are two events such that P(A) = p, P(B) = q, P (A ∩ B) = r , then the probability that A occurs but B does not occur, is

AP EAMCET Mock Test - 8 - Question 21

The solution of the equation cosx cosy (dy/dx)=-sinx siny is

AP EAMCET Mock Test - 8 - Question 22

The slope of the tangent at the point (h, h) of the circle x2 + y2 = ais

AP EAMCET Mock Test - 8 - Question 23

If [(1+i)/(1-i)]m = 1, the least value of m is

AP EAMCET Mock Test - 8 - Question 24

The differential equation of family of lines which passes (1,-1) is

AP EAMCET Mock Test - 8 - Question 25

The smaller area enclosed by the circle x2 + y2 = 9 and the line x = 1 is

AP EAMCET Mock Test - 8 - Question 26

Mode is approximately given by

AP EAMCET Mock Test - 8 - Question 27

If the straight lines x = 1 + s, y = -3 - λs, z = 1 + λs and x = t/2, y = 1 + t, z = 2 - t, with parameters s and t respectively, are co-planar, then λ equals

AP EAMCET Mock Test - 8 - Question 28

If A is a non-singular, then adj A is

AP EAMCET Mock Test - 8 - Question 29

In Δ A B C , If a2 + b2  + c2  = 8 R2 , then the triangle is

AP EAMCET Mock Test - 8 - Question 30

if f : R→R be such that f(1) = 4 and f'(1) = 12 then 

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