Scholarship Admission Test (TSAT12&12PE)

**Please Read The Instructions Carefully:**

- The examination will comprise of Single Correct Objective type Multiple Choice Questions (MCQs)
- All questions are compulsory and each carries Four marks.
- The total number of questions and duration of the examination are displayed on the navigation panel.
- There will be NO NEGATIVE MARKING for the wrong answers.
- The students just need to click on the Right Choice / Correct option from the multiple choices /options given with each question. For Multiple Choice Questions, each question has four options, and the candidate has to click the appropriate option.
- The Time of the examination begins only when the ‘Start Test’ button is pressed.
- The answers can be changed at any time during the test and are saved automatically.
- The examinee can move to First, Last, Previous, Next, and unanswered questions by clicking on the buttons with respective labels displayed on the screen throughout the test
- The Time remaining is shown in the middle of the screen.
- The system automatically shuts down when the time limit is over OR alternatively if the examinee finishes the exam before the time he can quit by pressing the ‘FINISH Test’ button. The students don’t click the “FINISH TEST” Button until the student wants to quit from Examination.
- Final marks will be displayed just after completion of the test.

1 / 45

**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

2 / 45

**Que**: If thenis equal to

1.

2.

3.

4. None of these

3 / 45

**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

4 / 45

**Que**:

5 / 45

**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.

6 / 45

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

7 / 45

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

1. 18

2. 16

3. 14

4. 12

8 / 45

**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

9 / 45

**Que**: An organic compound A (C_{4}H_{9}Cl) on reaction with Na/diethyl either gives a hydrocarbon which on monochlorination gives only one chloro derivative, then A is

- tert-butyl chloride
- sec-butyl chloride
- isobutyl chloride
- n-butyl chloride

10 / 45

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

- I and II
- II and III
- I and III
- III is anomer of I and II

11 / 45

**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.

12 / 45

**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

13 / 45

**Que**: The domain of the function defined by is

1. [1, 2]

2. [2, 1]

3. [-1, 1]

4. [0, 1]

14 / 45

**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

15 / 45

**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%

16 / 45

**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

17 / 45

**Que**: The value of is

1.

2.

3.

4.

18 / 45

**Que**: The matrix is a

1. Diagonal matrix

2. Symmetric matrix

3. Skew-symmetric matrix

4. Scalar matrix

19 / 45

**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

20 / 45

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

- Cu
^{2+}

21 / 45

**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.

22 / 45

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

23 / 45

**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).

24 / 45

**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

25 / 45

**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

26 / 45

**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

27 / 45

**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

28 / 45

**Que**: The shape of XeOF_{4} is

- octahedral
- square pyramidal
- pyramidal
- T-shaped

29 / 45

**Que**: The magnetic property inherent in all materials is

1. Ferromagnetism

2. Diamagnetism

3. Paramagnetism

4. Non–magnetism

30 / 45

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

- Methoxybenzene
- Benzyl p-nitrophenyl ether
- Methyl tertiary butyl ether
- Di-tert-butyl ether

31 / 45

**Que**:

32 / 45

**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

33 / 45

**Que**: If decreases for the values of x given by

1. 1 < x < 3

2. x < 0 3. x > 0

4.

34 / 45

**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.

35 / 45

**Que**:

- decreasing lp-bp repulsion
- decreasing electronegativity
- increasing bp-bp repulsion
- increasing p-orbital character in sp
^{3}

36 / 45

**Que**: The maximum value of is

1. 1/2

2. 1

3. -1

4. 0

37 / 45

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

1. 1

2. -1

3. 0

4. None of these

38 / 45

**Que**: From amongst the following alcohols the one that would react fastest with conc. HCl and anhydrous ZnCl_{2} is

- 2-Butanol
- 2-Methylpropan-2-ol
- 2-Methylpropanol
- 1-Butanol

39 / 45

**Que**: Which of the following is an example of S_{N}2 reaction?

40 / 45

**Que**:

- 3
- 4
- 1
- 2

41 / 45

**Que**: Coordination numbers of Zn^{2+} and S^{2-} in the crystal structure of wurtizite are

- 4, 4
- 6, 6
- 8, 4
- 8, 8

42 / 45

**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

43 / 45

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

- TACGAACT
- TCCGAACT
- TACGTACT
- TACGTAGT

44 / 45

**Que**: Let then find f(A).

1.

2.

3.

4.

45 / 45

**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