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NSO Mock Test – Class 12 (Engineering)
NSO Mock Tests for Class 12 is designed for National Science Olympiad Preparation.
The NSO Class 12 online mock test paper is free for all students.
This paper has 50 questions.
Time allowed is 60 minutes.
In total there are 50 questions including all sections.
The NSO Mock tests for Class 12 given here will help the student get an accurate idea of the types of questions asked in the National Science Olympiad and also help prepare timing and accuracy.
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 Answered
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Question 1 of 50
1. Question
Category: PhysicsA beam of equally charged particles after being accelerated through a voltage V enters into a magnetic field B as shown In the figure. It is found that all the particles hit the plate between C and D. The ratio between the masses of the heaviest and lightest particles of the beam is

Question 2 of 50
2. Question
Category: PhysicsIn the circuit shown, the variable resistance is so adjusted that the ammeter reading is same in both the position 1 and 2 of the key. The reading of ammeter Is 2 A. If ε = 10 V, then X is

Question 3 of 50
3. Question
Category: PhysicsIn an LC circuit the graph of magnetic energy and current is as shown in figure. The maximum charge stored in the capacitor is .

Question 4 of 50
4. Question
Category: PhysicsA smooth parabolic wire track described by equation X^{2} = 2ay is fixed in x – y plane as shown in figure in a gravity free space. An electric field defined by equation E = α(y i + x j) is present in space. A ring of mass m and charge +q is released from rest from a point A (a, a/2) reaches at an another point B(a, a/2). Then velocity of ring at B will be [ring just fits in wire track]

Question 5 of 50
5. Question
Category: PhysicsRead the given statements and mark the correct option.
Statement 1 : If a metal block is placed near a large uniformly charged nonconducting sheet, It does not experience any net force.
Statement 2 : A dipole does not experience any net force in a uniform electric field. 
Question 6 of 50
6. Question
Category: PhysicsA real Image Is formed by a convex lens for an object placed at distance d from the lens. A concave lens is put in contact with the convex lens and again a real image is formed when the object is placed at same distance d from the lens system. This Image will (as compared to the earlier image)

Question 7 of 50
7. Question
Category: PhysicsTwo radioactive substances X and Y emit α and β particles respectively. Their disintegration constants are in the ratio 2 : 3. To have equal probabilities of getting emission of α and β particles, the ratio of number of atoms of X to that of Y at any time Instant is

Question 8 of 50
8. Question
Category: PhysicsA disc of radius R = 10 cm oscillates as a physical pendulum about an axis perpendicular to the plane of the disc at a distance r from its centre. If r = R/4, the approximate period of oscillation is (Take g = 10 m S^{2})

Question 9 of 50
9. Question
Category: PhysicsDirections: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10^{5} m s^{1}, along the positive Xdirection experiences a force of magnitude 3.2 * 10^{20} N at the point R.
The magnitude of magnetic field at point R Is

Question 10 of 50
10. Question
Category: PhysicsDirections: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10^{5} m s^{1}, along the positive Xdirection experiences a force of magnitude 3.2 * 10^{20} N at the point R.
The magnitude of magnetic field at point R due to current 2.5 A in wire P Is

Question 11 of 50
11. Question
Category: PhysicsDirections: Read the passage carefully and answer Q. nos. 9, 10 and 11.
Two long parallel wires carrying currents 2.5 A and l A In the same direction (directed Into the plane of the paper) are held at P and Q respectively such that they are perpendicular to the plane of the paper. The points P and Q are located at a distance of 5 m and 2 m, respectively, from a collinear point R as shown In figure. An electron moving with a velocity of 4 * 10^{5} m s^{1}, along the positive Xdirection experiences a force of magnitude 3.2 * 10^{20} N at the point R.
The current l In wire Q Is

Question 12 of 50
12. Question
Category: PhysicsA uniform circular disc of mass m and radius 8 can rotate in a vertical plane about a horizontal axis through a point 0, on Its circumference. The disc Is held with the diameter OA through O horizontal and then released. If a constant frictional couple of mga/2π opposes the motion, the angular speed when OA is vertical will be

Question 13 of 50
13. Question
Category: PhysicsIn the given figure, the electric field lines on the left have twice the separation of those on the right. If the magnitude of the field at A Is 40 N/C. What is the magnitude of the field at B?

Question 14 of 50
14. Question
Category: PhysicsA convex lens forms an Image of an object on a screen. The height of the image is 9 cm. The lens is now displaced until an Image Is again obtained on the screen. The height of this Image is 4 cm. The distance between the object and the Screen is 90 cm. Which among the following statements is not correct?

Question 15 of 50
15. Question
Category: PhysicsA paint mass of 1 kg collides elastically with a stationary point mass of 5 kg. After their collision, the 1 kg mass reverses Its direction and moves with a speed of 2 m s^{1}. Which of the following statements Is correct for the system of these two masses?

Question 16 of 50
16. Question
Category: ChemistryIf glycerin, (C_{3}H_{5}(OH)_{3}) and methyl alcohol, (CH_{3} OH), sell at the same price per pound, which would be cheaper for preparing an antifreeze solution for the radiator of an automobile?

Question 17 of 50
17. Question
Category: ChemistryCharacteristic property of element/compound Is written against each triad.
Pick the element/compound from each triad with that property.

Question 18 of 50
18. Question
Category: ChemistryIn an experiment, 5 cm^{3} of 1.0 mol/dm^{3} sodium hydroxide, NaOH, is gradually added to 10 cm^{3} of 1.0 mol/dm^{3} hydrochloric acid, HCI, containing methyl orange Indicator.
Identify the change that occurs in the mixture.

Question 19 of 50
19. Question
Category: ChemistryIn which of the following option, second compound gives a precipitate more rapidly than the first compound when reacted with AgNO_{3} in ethanol?

Question 20 of 50
20. Question
Category: ChemistryCellulose, the most Important constituent of plant cell wail, is made up of

Question 21 of 50
21. Question
Category: ChemistryCheck the sequence of reactions.
Considering probable stereochemistry of bromide formation due to PBr_{3} reaction, find the option that correctly represents the product?

Question 22 of 50
22. Question
Category: ChemistryMatch ColumnI with ColumnII and select the correct answer using the codes given below.

Question 23 of 50
23. Question
Category: ChemistryWhen [Ni(NH_{3})_{4})” is treated with concentrated HCI, two compounds having the formula Ni(NH_{3}),CI_{2} (designated I and II) are formed. Compound I can be converted Into compound II by boiling in dilute HCI. A solution of compound I reacts with oxalic acid to form NI(NH_{3})_{2}(C_{2}O_{4}). Compound II does not react with oxalic acid. Choose the correct option about the configurations of compounds and II and the geometry of the nickel(II) complexes.

Question 24 of 50
24. Question
Category: ChemistryTwo moles of helium gas occupy 10 litres at 27°C. The gas Is first expanded at constant pressure until the volume is double. It then undergoes adiabatic change until the temperature returns to its Initial value. Which graph Is correct for this process?

Question 25 of 50
25. Question
Category: ChemistryOne gram (dry weight) of green algae was able 10 absorb 5.5 x 10^{3} mol CO_{2} per hour by photosynthesis. If the fixed carbon atoms were all stored after photosynthesis as starch, (C_{6}H_{10}O_{5})_{n}, how long would it take for the algae to double their own weight? Neglect the increase In photosynthetic rate due to the increasing amount of living matter.

Question 26 of 50
26. Question
Category: ChemistryIdentify E.

Question 27 of 50
27. Question
Category: ChemistryThe following electrochemical cell has been set up
If an ammeter is connected between two platinum electrodes, what is the direction of flow of current? 
Question 28 of 50
28. Question
Category: ChemistryFor a general reaction A_{g} + B_{g} ⇔ C_{g}+ D_{g} the specific rate constant is k_{forward} = 2.0 x 10^{3} mot^{1} L s^{1}, at a certain temperature. Reaction starts with equimolar amounts of A and B. Reaching at equilibrium, it Is observed that amount of A is twice that of C. The specific rate constant for the backward reaction Is

Question 29 of 50
29. Question
Category: ChemistryP_{4} (white) + P (an alkaline solution) → Q (reducing gas) + R
R + dil. H_{2}SO_{4} → T (ppt.) + S (oxyacid of P)
T gives apple green colour in the flame. Thus P, Q, R, Sand T respectively are 
Question 30 of 50
30. Question
Category: ChemistryOn combustion in excess of air, lithium forms mainly the oxide, sodium forms peroxide while potassium or rubidium or caesium form superoxides. It suggests that as cationic size increases the

Question 31 of 50
31. Question
Category: MathsGiven the relation R = {1, 2), (2, 3)} in the set (1, 2, 3}, the minimum number of ordered pairs which when added to R make It an equivalence relation is ________ .

Question 32 of 50
32. Question
Category: MathsIf f(x) = 3x^{10} – 7x^{8} + 5x^{6} – 21x^{3} + 3x^{2} – 7, then the value of is __________.

Question 33 of 50
33. Question
Category: MathsThe given question is based on the diagram given below showing four persons stationed at the four corners of a square piece of plot as shown. From the original position B and D move one and a half length of sides clockwise and anticlockwise respectively. Which one of the following statements is true?

Question 34 of 50
34. Question
Category: MathsIf (sec A – tan A) (sec B – tan B) (sec C – tan C) = (sec A + tan A) (sec B + tan B) (sec C + tan C), then each side is equal to _____.

Question 35 of 50
35. Question
Category: MathsIntroducing a man, a woman said, “His wife Is the only daughter of my father”. How Is that man related to the woman?

Question 36 of 50
36. Question
Category: MathsA rectangle with sides 2m 1 and 2n – 1 Is divided into squares of unit length by drawing parallel lines as shown In the diagram, then the number of rectangles possible with odd side lengths is ________.

Question 37 of 50
37. Question
Category: MathsIn the given question, α stands for ‘equal to’ and β for ‘greater than’; if abxy α c^{2}z, bx β ay and
b^{2}α ac, then______. 
Question 38 of 50
38. Question
Category: MathsIf A and B are two matrices such that A + B and AB are both defined, then_________.

Question 39 of 50
39. Question
Category: MathsIn a class, there are 18 boys who are over 160 cm tall. If these constitute threefourths of the boys and the total number of boys is twothirds of the total number of students In the class, what is the number of girls In the class?

Question 40 of 50
40. Question
Category: MathsAn insurance salesman sells policies to 5 men, all of identical age and in good health. The probability that a man of this particular age will be alive after 30 years Is 2/3. The probability that after the lapse of 30 years, all the five persons will be alive, is _____.

Question 41 of 50
41. Question
Category: MathsHow many days will there be from 26^{th} January 2004, to 15^{th} May, 2004 (both days included)?

Question 42 of 50
42. Question
Category: MathsIf f and 9 are two decreasing functions such that gof exists, then ______.

Question 43 of 50
43. Question
Category: MathsIf x^{2} + px + q = 0 is the quadratic equation whose roots are a – 2 and b – 2 where a and bare the roots of x^{2} – 3x + 1 = 0, then

Question 44 of 50
44. Question
Category: MathsWhich of the following statements is not correct?

Question 45 of 50
45. Question
Category: MathsHow many such letters are there in the word BACKLASH each of which is as far away from the beginning of the word as it is from the beginning of the English alphabet?

Question 46 of 50
46. Question
Category: MathsValue of

Question 47 of 50
47. Question
Category: MathsA cube of white material is painted black on all its surfaces. ” it is cut Into 125 smaller cubes of the same size, then how many cubes will have two sides painted black?

Question 48 of 50
48. Question
Category: MathsIf f(x) = x^{5}, gx=x and h(x) = x^{4} + 4, then

Question 49 of 50
49. Question
Category: MathsIf Y = log^{n}x where log^{n} means log log log ….(repeated n times), then x log x log^{2}x log^{3}x …. log^{n – 1} x log^{n}x dx/dy is equal to……

Question 50 of 50
50. Question
Category: MathsIn the given question, from amongst the options, select the one which satisfies the same conditions of placement of the dots as In figure (X).