NSMQ2025 Trier Contests: Past Questions and Answers (fundamental, SpeedRace, and True/False): SET 08

PREAMBLE: A triangle has vertices at points P(2, 1), Q(5, 5), and R(1, 3). Find the vector

1. PQ

Ans: 3i + 4j

2. PR

Ans: -i + 2j

3. QR

Ans: -4i – 2j

PREAMBLE: Find the area bounded by the straight line given and the coordinate axis.

4. 3x + 2y – 12 = 0

Ans: 12 square units

5. 5x – 4y + 20 = 0

Ans: 10 square units

6. 4X + 5y – 40 = 0

Ans: 40 square units

PREAMBLE: Calculate the half-life of the following reactions:

7. A zero-order reaction with initial concentration 0.0500 mol/dm³ and rate constant 0.0200 moldm^-3s^-1

Ans: 1.25 s

8. A first-order reaction with an initial concentration of 0.0200 mol/dm³ and a rate constant 0.0.0300 per second

Ans: 23.1 s

9. A second-order reaction with initial concentration 0.500 mol/dm³ and rate constant 0.100 dm³mol^-1s^-1

Ans: 20.0s

PREAMBLE: Give the name of the process involved in the industrial manufacture of the following chemicals:

10. Sodium carbonate

Ans: Solvay process

11. Polyethene

Ans: Ziegler-Natta process (accept Ziegler process)

12. Sodium hydroxide

Ans: Castner-Kellner process (accept Mercury Cell Process)

PREAMBLE: An alternating current of frequency 100.0 Hertz flows in a circuit containing a resistor. Calculate the peak current for the following r.m.s values:

13. 50 A

Ans: 6.36 A

14. 50 A

Ans: 9.19 A

15. 50 A

Ans: 12.0 A

PREAMBLE: A ships siren vibrates with displacement y, where y = A sin 50πt. This sound causes the diaphragm of the eardrum of an observer 200 meters away to vibrate. If the speed of sound is 340 m/s. Calculate;

16. The frequency of the sound

Ans: 25 Hz

17. The wavelength of the sound

Ans: 14 m

18. The period of the sound waves

Ans: 0.040 s

PREAMBLE: Give one importance to each of the transaminations in the body

19. Answers:

• Enables the synthesis of non-essential amino acids
• Allows the body to convert one amino acid into another, based on metabolic demands.
• Serves as the first step in amino acid catabolism (breakdown), preparing amino groups for disposal.
• Provides a critical bridge between carbohydrate and protein metabolism.

PREAMBLE: The process of removing introns and joining exons is called splicing. Give one importance of RNA Splicing

20. Answers:

• Increases proteomic diversity
• Enables gene regulation
• Facilitates evolution
• Improves gene fidelity and repair
• Generates non-coding RNAs

SPEED RACE

1. In population genetics, what name is given to the sharp reduction in population size that reduces genetic variation?

Answer: Bottleneck Effect

2. Why are chromoplasts coloured?

Answer: Because they contain carotenoid pigments

3. What name is given to the region on the gene where RNA polymerase attaches to?

Answer: promoter region

4. Working together, Ben and Tom can build a wall in 4 hours. Ben can build it alone in 6 hours. How long would it take Tom alone?

Answer: 12 hours

5. Solve for x: (√x) + 3 = x

Ans: (7 + √13)/2

6. A magazine page has 40 cm² of printed area. The height is 3 times the width. Margins are 1 cm uniformly. Find the page dimensions.

Ans: 5.65 cm x 12.95 cm (accept 5.7 cm x 13 cm)

7. A volume of hydrogen diffuses in 10.2 s. How long for the same volume of oxygen under same conditions to diffuse?

Ans: 40.8 s

8. What amount (moles) of silver is deposited when 0.500 A passes through AgNO₃ solution for 1,930 s?

Ans: 0.0100 mol

9. The volume of a gas is halved at constant temperature. What is the percentage change in pressure?

Ans: increases by 100% (do not accept it if the student doesn’t bring ‘increase’)

10. Find the centripetal acceleration of an object moving in a circle of radius 5.50 m with a speed of 15.0 m/s.

Ans: 40.9 m/s².

11. What is the most suitable total length of a dipole aerial used to receive FM wave of frequency 50Hz?

Ans: 3 m

12. The piston in an airtight pump is withdrawn so that the volume of the air chamber is increased three times. What is the change in pressure?

Ans: pressure will be reduced to one-third the original pressure

TRUE OR FALSE

1. Crown glass typically has a higher refractive index than water.

Ans: True

2. The refractive index of ice is greater than that of diamond.

Ans: False

3. Flint glass has a higher refractive index than crown glass.

Ans: True

4. A photovoltaic cell operates on the same basic principle as a photoconductive cell.

Ans: False (Photovoltaic cells generate voltage, photoconductive cells change resistance.)

5. In a photoconductive cell, the resistance decreases when the light intensity increases.

Ans: True

6. Photocells are commonly used to automatically switch streetlights on at dusk.

Ans: True

7. Basidiomycetes are also known as sac fungi.

Ans: False (They are club fungi; Ascomycetes are sac fungi.)

8. The most abundant pigment in plants is chlorophyll B.

Ans: False (It is chlorophyll A)

9. Ascomycetes are also called conjugated fungi.

Ans: False (That is Zygomycetes)

10. Tuberculosis is primarily transmitted through contaminated water.

Ans: False (It is airborne.)

11. Black stem rust of wheat is spread through infected seeds only

Ans: False (It is spread by wind-blown spores.)

12. Amoebiasis can be transmitted by contaminated food and drinking water.

Ans: True

13. The reminder in zero when x³ – 1 is divided by x-1

Ans: True

14. The reminder is zero when x³+1 is divided by x+1

 Ans: True

15. The reminder is zero when x³– 1 is divided by x+1

Ans: False

16. The ordered pair (2, 5) satisfies the inequality 3x + y ≤ 10.

Ans: False

17. The ordered pair (0, 0) satisfies the inequality 2x + 5y < 1.

Ans: True

18. The ordered pair (1,-3) satisfies the inequality -2x-3y<4.

Ans: False      

19. The sum of the quantum numbers n, l, m, and s for the electron in a ground-state hydrogen atom is 1.5.

Ans: True

20. The sum of the quantum numbers for the last electron in a sodium atom (Z=11) is 3.5.

Ans: True

21. The azimuthal quantum number (l) for an electron in a 4p orbital is 2.

Ans: False (For a p orbital, l = 1)

Source: Galmeek.com

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