NSMQ2024 1/8th Stage: Sample Past Questions and Answers: SET 04.

Preamble: Two equal-length springs of force constants K₁ and K₂ are connected in series. Calculate the equivalent force constant of the composite spring for the given values of K₁ and K₂.

1. K₁ = 45 N/m and K₂ = 55 N/m

Ans: 25 N/m

2. K₁ = 85 N/m and K₂ = 65 N/m

Ans: 37 N/m

3. K₁ = 42 N/m and K₂ = 28 N/m

Ans: 17 N/m

4. Preamble: Name one type of tropism that involves the plant hormone auxin.

Ans:

• Phototropism
• Thigmotropism
• Gravitropism

5. Preamble: Give the systematic name of one isomer of C₄H₅Br, given that it is an alkyne.

Ans:

• 1-Bromo – 1 – butyne,
• 4-bromo – 1 – butyne,
• 1-bromo – 2 – butyne.
• 3-bromobut – 1 – yne

Preamble: Find the impedance of a series RLC circuit at a frequency at which the reactants in the circuit have modulus X, given that,

6. R = 15 ohms and X = 36 ohms.

Ans: 39 ohms.

7. R = 3.2 ohms and X = 2.4 ohms

Ans: 4.0 ohms.

8. R = 2.4 ohms and X = 1.8 ohms.

Ans: 3.0 ohms.

9. Preamble: Mention one autosomal recessive disorder that affects the metabolic system.

Ans:

• Cystic fibrosis.
• Phenylketonuria
• Galactosemia
• Homocystinuria
• Lysosomal storage disease
• Alpha-1 antitrypsin deficiency.
• Wilson’s disease
• Hemochromatosis
• Glycogen storage disease.

Preamble: Find the coordinates of the point of inflection of the given curve.

10. y = x³ – 6x² + 5x + 3

Ans: 2, -3

11. y = x³ – 3x² – 4x + 8

Ans: -1, 14

12. y = x³ – 3x² + 5x – 2

Ans: 1, 1

13. Mention the environmental concern that refers to the gradual increase in Earth’s average temperature due to human activities.

Ans: Global warming.

14. Name the term used to refer to “meeting the environmental needs of the present generation without compromising the ability of future generations to meet their needs”.

Ans: Sustainability.

15. Give the environmental term that refers to the release of chemicals that harm the environment and living organisms.

Ans: Pollution.

16. Calculate the work done by 1.5mol of a gas in an isobaric expansion from 0.25m³ to 0.75m³ at 24 kPa.

Ans: 12kJ

17. In an isobaric expansion from 0.32m³ to 0.57m³, the work done by 1.9 moles of a gas is 8.0 kJ. Find the process pressure.

Ans: 32kPa

18. Calculate the work done by 3.7mol of a gas in an isobaric expansion from 0.080m³ to 0.120m³ at 16kPa

Ans: 0.64kJ

Preamble: To which organ system does the given human part belong?

19. Skin

Ans: Integumentary system

20. Tibia

Ans: The skeletal system

21. Kidney

Ans: The urinary system.

22. Calculate the mass of 4.82 x 10²³ molecules of bromine.

Ans: 128g

23. Calculate the volume of carbon dioxide formed at STP when 2.00mol of 2-propanol is burned in excess oxygen.

Ans: 134dm³.

24. How many atoms are in the empirical formula of propyl benzene?

Ans: 7

25. Where does the energy consumed in the electron transport chain to produce ATP come from?

Ans: It comes from the breakdown of glucose.

26. What name is given to the type of pollination where plants attract pollinators by using bright colours or scents and offer no actual reward to the pollinator?

Ans: It’s deceptive pollination.

27. Determine the impedance of a series RC circuit with R = 0.30k ohms and capacitive reactance 720 ohms.

Ans: 780 ohms

28. A particle moving at 5m/s collides with a stationary particle and slows down to 2m/s, whereas the other particle takes off at 3m/s ahead of the incoming particle. Calculate the coefficient of restitution for the collision between the particles.

Ans: 0.2

TRUE/FALSE

1. The pOH of a solution is directly proportional to the concentration of hydroxide ions.

Ans: False

2. Both pH and pOH are temperature-dependent.

Ans: True

3. In a strongly acidic solution, the pOH approaches 14 at room temperature.

Ans: True

Preamble: A 3m long stretched string clamped at both ends vibrates in a mode with two nodes between its ends.

4. The wavelength of the vibration mode of the string is 3m.

Ans: False

5. The distance between the two nodes is two meters.

Ans: False

6. The wavelength of the vibration mode of the string is 2m.

Ans: True

7. All birds have the same degree of skeletal pneumatization.

Ans: False

8. A bird’s heart is of the same basic design as that of a mammal.

Ans: True

9. The rhythm of a bird’s respiratory two-cycle pump is related to the beat of its wings.

Ans: False

10. Sine 210 degrees equals sine 30 degrees.

Ans: False

11. Cos 210 degrees equals cos 30 degrees.

Ans: False

12. Tan 210 degrees equals tan 30 degrees.

Ans: True

13. The rate of a zero-order reaction is independent of the concentration of the reactants.

Ans: True

14. For a first-order reaction, the half-life depends on the initial concentration of the reactants.

Ans: False

15. The rate law of a reaction can be determined from the stoichiometry of the balanced chemical equation.

Ans: False

16. The induced EMF in a closed loop equals the time rate change of the magnetic flux through the loop.

Ans: False

17. The induced EMF in a closed loop is in such a direction as to oppose the change in flux causing it.

Ans: True

18. The time rate of change of the magnetic flux through a closed loop equals the negative of the EMF induced in the loop.

Ans: True

Preamble: The following is a common characteristic shared by members of the classes under the phylum Mollusca.

19. The presence of a muscular foot.

Ans: True

20. The presence of a visceral mass.

Ans: True

21. The presence of a mantle.

Ans: True

Source: Galmeek.com

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