Que: If internal resistance of a cell is proportional to current drawn from the cell. Then the best
representation of terminal potential difference of a cell with current drawn from cell will be:

1.

2.

3.

4.

Que:

1. 3
2. 4
3. 1
4. 2

Que: Five balls, numbered 1 to 5, are suspended using separate threads. Pairs (1, 2), (2, 4), (4, 1) show
electrostatic attraction, while pairs (2, 3) and (4, 5) show repulsion, therefore ball 1 must be:

1. Positively charged

2. Negatively charged

3. Neutral

4. Made of metal

Que: A square loop of side ‘a’ carries a current I. The magnetic field at the centre of the loop is

1.

2.

3.

4.

Que: If a, b, c, d > 0; x ϵ R and then

 

1. 1

2. -1

3. 0

4. None of these

Que: Conductor ABC consist of two quarter circular path of radius R lies in X-Y plane and carries current I as shown. A uniform magnetic field is switched on in the region that exert force on conductor ABC. can be

1.

2.

3.

4. both (B) and (C).

Que: The deep blue colour produced on adding excess of ammonia to copper sulphate is due to presence of

1. Cu²⁺
2. 
3. 
4. 

Que: The equation of normal to the curve at (1, 2) is

1. x + 3y = 7

2. x - 3y = 1

3. 2x + y = 1

4. x - 3y = 6

Que: The magnetic property inherent in all materials is

1. Ferromagnetism

2. Diamagnetism

3. Paramagnetism

4. Non–magnetism

Que: Let then find f(A).

1.

2.

3.

4.

Que: The absolute maximum values of a function f given by

1. 18

2. 16

3. 14

4. 12

Que: Some magnetic flux is changed from a coil of resistance 10 ohm. As a result an induced current is developed in it, which varies with time as shown in figure. The magnitude of change in flux through the coil in Webers is

1. 2

2. 4

3. 6

4. 8

Que: A mapping f : N →N, where N is the set of natural numbers is defined as

for n ϵ N. Then, f is

1. surjective but not injective

2. injective but not surjective

3. bijective

4. neither injective nor surjective

Que: Three cyclic structures of monosaccharides are given below, which of these are anomers

1. I and II
2. II and III
3. I and III
4. III is anomer of I and II

Que: An organic compound A (C₄H₉Cl) on reaction with Na/diethyl either gives a hydrocarbon which on monochlorination gives only one chloro derivative, then A is

1. tert-butyl chloride
2. sec-butyl chloride
3. isobutyl chloride
4. n-butyl chloride

Que: The shape of XeOF₄ is

1. octahedral
2. square pyramidal
3. pyramidal
4. T-shaped

Que: Figure represents a square carrying charges +q, +q, –q, –q at its four corners as shown. Then the
potential will be zero at points

1. A, B, C, P and Q

2. A, B and C

3. A, P, C and Q

4. P, B and Q

Que: Given, 2x – y + 2z = 2,x – 2y + z = -4 and x + y + λz = 4, then the value of λ such that the given system of equation has no solution is

1. 3

2. 1

3. 0

4. -3

Que: Four identical bulbs each rated 100 watt, 220 volts are connected across a battery as shown. The total
electric power consumed by the bulbs is:

1. 75 watt

2. 400 watt

3. 300 watt

4. 400/3 watt

Que: From amongst the following alcohols the one that would react fastest with conc. HCl and anhydrous ZnCl₂ is

1. 2-Butanol
2. 2-Methylpropan-2-ol
3. 2-Methylpropanol
4. 1-Butanol

Que: The maximum value of is

1. 1/2

2. 1

3. -1

4. 0

Que: The matrix is a

1. Diagonal matrix

2. Symmetric matrix

3. Skew-symmetric matrix

4. Scalar matrix

Que: The value of is

1.

2.

3.

4.

Que: If thenis equal to

1.

2.

3.

4. None of these

Que: All the points of discontinuity of the function f defined by  is

1. 1, 3

2. 3, 10

3. 1, 3, 10

4. 0, 1, 3

Que: In the AC circuit shown below, the supply voltage has constant rms value V but variable frequency
f. At resonance, the circuit : (Select the incorrect statement)

1. has a current I given by

2. has a resonance frequency 500 Hz

3. has a voltage across the capacitor which is out of phase with that across the inductor

4. has a current given by

Que:  In the figure shown ‘R’ is a fixed conducting fixed ring of negligible resistance and radius ‘a’. PQ is a uniform rod of resistance r. It is hinged at the centre of the ring and rotated about this point in clockwise direction with a uniform angular velocity . These is a uniform magnetic filled of strength ‘B’ pointing inwards. ‘r’ is a stationary resistance

1. Current through ‘r’ is zero.

2. Current through ‘r’ is

3. Direction of current in external ‘r’ is from centre to circumference.

4. Direction of current in external ‘r’ is from circumference to centre.

Que: A constant force F is being applied on a rod of length 'l ' kept at rest on two parallel conducting rails
connected at ends by resistance R in uniform magnetic field B as shown.

1. the power delivered by force will be constant with time

2. the power delivered by force will be increasing first and then will decrease

3. the rate of power delivered by the external force will be increasing continuously

4. the rate of power delivered by external force will be decreasing continuously.

Que: Coordination numbers of Zn²⁺ and S^2- in the crystal structure of wurtizite are

1. 4, 4
2. 6, 6
3. 8, 4
4. 8, 8

Que: The magnetic moment of a magnet of mass 75 gm is . If the density of the material of magnet
is then intensity of magnetisation will be :

1. 0.9 A/m

2. 0.09 A/m

3. 9 A/m

4. 90 A/m

Que: The unit cell dimensions of a cubic lattice (edges a, b, c and the angles between them, α, β and γ) are

1. 
2. 
3. 
4. 

Que: Value of earth’s magnetic field at any point is . This field is neutralised by field which is produced at the centre of a current carrying loop of radius 5 cm. The current in the loop (approx)

1. 0.56 A

2. 5.6 A

3. 0.28 A

4. 28 A

Que: A series LCR circuit containing a resistance of 120 ohm has angular resonance frequency At resonance, the voltage across resistance and inductance are 60V and 40 V respectively. The values of L and C are respectively :

1. 20 mH, 25/8 μF

2. 2 mH, 1/35 μF

3. 20 mH, 1/40 μF

4. 2 mH, 25/8 nF

Que:

1. 
2. 
3. 
4. 

Que: The relation R in the set of natural numbers N defined as R = {(x, y): y = x + 5 and x < 4} is

1. reflexive

2. symmetric

3. transitive

4. an equivalence relation

Que: The feasible region for an LLP is shown in the following figure.

Let F = 3x – 4y be the objective function. Maximum value of F is

1. 0

2. 8

3. 12

4. -18

Que: Which of the following is an example of S_N2 reaction?

1. 
2. 
3. 
4. 

Que: If decreases for the values of x given by

1. 1 < x < 3

2. x < 0 3. x > 0

4.

Que: Which of the following cannot be made by using Williamson's synthesis?

1. Methoxybenzene
2. Benzyl p-nitrophenyl ether
3. Methyl tertiary butyl ether
4. Di-tert-butyl ether

Que: A transformer is used to light a 140 watt, 24 volt lamp from 240 V AC mains. The current in the
main cable is 0.7 amp. The efficiency of the transformer is :

1. 48%

2. 63.8%

3. 83.3%

4. 90%

Que: Which of the following pairs of compounds are enantiomers?

1. 
2. 
3. 
4. 

Que:

1. 
2. 
3. 
4. 

Que: If one strand of DNA has the sequence ATGCTTGA, the sequence in the complimentary strand would be

1. TACGAACT
2. TCCGAACT
3. TACGTACT
4. TACGTAGT

Que:

1. decreasing lp-bp repulsion
2. decreasing electronegativity
3. increasing bp-bp repulsion
4. increasing p-orbital character in sp³

Que: The domain of the function defined by is

1. [1, 2]

2. [2, 1]

3. [-1, 1]

4. [0, 1]