NSMQ 2025 Trier Questions and Answers; Fundamental Concepts (Set 2)

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NSMQ 2025 Trier Questions and Answers; Fundamental Concepts (Set 2).

  1. Find the current (I) in a 2.0 Ω resistor when the potential difference (V) is 16V.

Ans: 8.0 A

  1. Find the potential difference (V) across a 5.0Ω resistor when the current is 3.0A.

Ans: 15 V

  1. Find the resistance (R) of a component if a 12V potential difference produces a current of 2A.

Ans: 6 ohms

  1. Find the current (I) flowing through a 10Ω resistor with a potential difference of 5V.

Ans: 0.5 A

Preamble: Give the main site of action of the given hormone

  1. Progesterone

Ans: uterus

  1. Prolactin

Ans: mammary glands

  1. Glucagon

Ans: liver

  1. Aldosterone

Ans: kidney

  1. Adrenaline

Ans: muscles

  1. Preamble: Name only one element on the periodic table that is commonly recognized as a metalloid.

Ans:

  • Silicon
  • Arsenic
  • Germanium
  • Antimony
  • Polonium
  • Astatine

Preamble: Consider the following terms: Species, ecosystem, cell, population, and organism

  1. Which is the second most complex?

Ans: population

  1. Which is the second least complex?

Ans: organism

  1. Name the simplest?

Ans: cell

  1. Name the third complex?

Ans: species

  1. Which is most complex?

Ans: ecosystem

Preamble: Calculate the molar mass of the given compounds

  1. Potassium cyanide

Ans: 65 g/mol

  1. Sodium nitride

Ans: 83 g/mol

  1. Potassium fluoride

Ans: 58 g/mol

  1. Lithium sulphide

Ans: 46 g/mol

  1. Sodium peroxide

Ans: 78 g/mol

Preamble: Find an expression for the function f(x) given that

  1. f(3x – 5) = x2

Ans: (x+5/3)2

  1. f(2x + 7) = x2

Ans: (x – 3/2)2

  1. f(5x – 2) = x2

Ans: (x + 2/5)2

  1. f(2x + 5) = x2

Ans: (x – 5/2)2

Preamble: Solve the rational inequality

  1. 2/(x – 1) < 0

Ans: x: x < 1

  1. 1/(x + 1) > 0

Ans: x: x > -1

  1. 3/(2x – 1) > 0

Ans: x: x > ½

  1. 5/(3x + 1) < 0

Ans: x: x < -1/3

  1. 3/(2x + 3) > 0

Ans: x: x > -3/2

Preamble: Express in joules

  1. 15 electron Volts

Ans: 2.4 x 10-18 J

  1. 1 electron Volts

Ans:  1.8 x 10-19 J

  1. 2 electron Volts

Ans: 6.7 x 10-19 J

  1. 32 electron Volts

Ans: 5.1 x 10-18 J

  1. 72 electron Volts

Ans: 5.1 x 10-17 J

  1. Find the work done when the work of applying a 16 N force moves 4.0 m in the direction of the force

Ans: 64 J

  1. Find the distance the point of application of a 15 N constant force moves in the direction of the force if the work done by the force is 72 J

Ans: 4.8 m

  1. Find the magnitude of the constant force that does 56 J of work when the point of application moves 2 m in the direction of the force

Ans: 28 N

  1. Find the work done when the point of application of a constant 18 N force moves 3.0 m in the direction of the force

Ans: 54 N

  1. Find the distance the point of application of a 16 N constant force moves in the direction of the force if the work done is 64 J

Ans: 4.0 m

PREAMBLE: The coefficient of linear expansion of a metal rod is 2.0 × 10⁻⁵ K⁻¹.

  1. Find the elongation of a 10 mm rod when heated from 20°C to 30°C.

Ans: 2 x 10-6 m

  1. Find the length of a rod that elongates by 20 mm when heated from 15°C to 25°C.

Ans: 100 m or 1 x 105 mm

  1. Find the elongation of a 30.0 mm rod when heated from 15°C to 45°C.

Ans: 1.8 x 10-5 m

  1. Find the length of a rod that elongates by 10.0 mm when heated from 25°C to 45°C.

Ans: 25 m or 2.5 x 104 mm

PREAMBLE: Give the chemical formula of the product formed when the given pairs of hypothetical ions react:

  1. X³⁻ and A²⁺

Ans: A3X2

  1. Z²⁻ and D⁴⁺

Ans: DZ2

  1. B³⁺ and Y⁻

Ans: BY3

  1. W²⁻ and C2⁺

Ans: CW

  1. A radioactive sample decays to 6.25% of its original mass in 80 minutes. What is the half-life?

Ans: 20 minutes

  1. A substance with a half-life of 15.0 minutes decays from 100.0% to an unknown final percentage in 45.0 minutes. What is the remaining percentage?

Ans: 12.5%

  1. A sample decays from 80.0% to 10.0% in 36 hours. What is the half-life?

Ans: 12 hours

  1. A material with a half-life of 8.0 days decays from an initial percentage to 25% in a certain time. How long did it take?

Ans: 16 days

PREAMBLE: Scientific epithets are Latin or Greek-derived descriptive terms used in taxonomy to highlight key traits of organisms. Give the meaning of the given scientific epithet: (Don’t give answers until the last one)

  1. Luminis

Ans: Luminous

  1. Aquatis

Ans: Aquatic

  1. Toxicus

Ans: Poisonous

  1. Fragris

Ans: Fragrant

PREAMBLE: Classify the following animals as either nocturnal or diurnal:

  1. Owl

Ans: Nocturnal

  1. Squirrel

Ans: Diurnal

  1. Butterfly

Ans: Diurnal

  1. Bat

Ans: Nocturnal

Preamble: Find the value of and

  1. log3 3x = y + 2, y = 2 log3 x

Ans: x = 1/3 and y = −2

  1. log5 5x = y + 1, y = 3 log5 x

Ans: x = 1 and y = 0

  1. log2 4x = y + 5, y = log2 x2

Ans: x = 1/8 and y = −6

  1. log10 10x = y + 1, y = log10 x2

Answer: x = 1 and y = 0

Preamble: Find () = 2  + + given

  1. f(1) = 2, f(2) = 3 and f(3) = 8

Ans: f(x) = 2x2 − 5x + 5

  1. f(0) = 3, f(1) = 0 and f(2) = 1

Ans: f(x) = 2x2 − 5x + 3

  1. f(0) = 1, f(2) = 9 and f(4) = 25

Ans: f(x) = x2 + 2x + 1

  1. f(0) = 2, f(1) = 1 and f(2) = 2

Ans: f(x) = x2 − 2x + 2

  1. The atomic mass of element X is twice that of element Y. Calculate the molar mass of compound XY₂ given that the atomic mass of Y is 8.0 g/mol.

Ans: 32 g/mol

  1. Element P has an atomic mass 4 times that of element Q. If the atomic mass of Q is 5 g/mol, find the molar mass of compound P₃Q₄.

Ans: 80 g/mol

  1. The atomic mass of element M is half that of element N. Given that N has an atomic mass of 30 g/mol, determine the molar mass of compound MN₃.

Ans: 105 g/mol

  1. In compound R₂S, element R has an atomic mass 1.5 times that of S. If the molar mass of R₂S is 80 g/mol, find the atomic masses of R and S.

Ans: R = 30 g/mol; S = 20 g/mol.

Preamble: Find the oxidation number of the given elements in each of the following hypothetical compounds:

  1. Antimony in Sb2F3

Ans: +1

  1. Tellurium in Te4S24+

Ans: +2

  1. Iodine in I4P3

Ans: +2

  1. Bismuth in Bi3O72-

Ans: +4

  1. What term describes an organism that feeds on primary consumers but is eaten by tertiary consumers?

Ans: Secondary consumer

  1. What term describes an organism that typically occupies the lowest trophic level in a terrestrial food chain?

Ans: Producer (or Autotroph)

  1. What term describes dead organic matter that fuels detrital food chains?

Ans: Detritus

  1. What do we call organisms that recycle nutrients by breaking down dead matter?

Ans: Decomposers

  1. What is the name of the white blood cells that produce antibodies?

Ans: B lymphocytes (B cells)

  1. Which blood cells engulf and digest bacteria and foreign particles?

Ans: Phagocytes (e.g., Neutrophils, Macrophages)

  1. What type of white blood cell is involved in allergic reactions and parasitic infections?

Ans: Eosinophils

  1. Which blood cells release histamine during inflammatory responses?

Answer: Basophils

Preamble: Take g = 10.0 m/s2

  1. An object of mass 5.0 kg rests on a plane inclined at 60.0o. Find the magnitude of the normal force.

Ans: 25 N

  1. An object of mass 2 kg rests on a plane inclined at 60°. Find the normal force.

Ans: 10 N

  1. A 12.0 kg crate sits on a 60.0° ramp. Calculate the normal force acting on it.

Ans: 60.0 N

  1. A 0.50 kg book rests on a 60.0° inclined desk. Determine the normal force.

Ans: 2.5N

  1. Find the magnitude of the magnetic force on a 5.0 μC charge moving at 3.0 m/s perpendicular to a uniform magnetic field of 0.40 T.

Ans: 6.0 μN

  1. A charge of 8.0 nC experiences a magnetic force of 2.4 μN when moving at 1.5 m/s perpendicular to a magnetic field. Calculate the field strength.

Ans: 2.0 x 102 T

  1. How far will a 4 μC charge travel in 5 s if it moves at 6.0 m/s perpendicular to a 0.30 T field? (Ignore other forces.)

Ans: 30 m

  1. A particle with unknown charge moves at 4.0 m/s perpendicular to a 0.50 T field, experiencing a force of 1.0 mN. Find the charge.

Ans: 0.50 mC

PREAMBLE: The linear momentum of a particle varies with time as with respect to . Find the net force on the particle at the following given instances:

  1. p(t) = 5t2i at t = 3 s

Ans: 30i N

  1. p(t) = (2.0t3 + 4.0t) j at t = 2.0 s

Ans: 28j N

  1. p(t) = (8.0t2 + 2.0t) j at t = 1.0 s

Ans: 18j N

  1. p(t) = 3.0t3 i at t = 2.0 s

Ans: 36i

  1. A particle of mass m = 3.0 kg moves with velocity u = 6.0 m/s toward a wall and rebounds with velocity v = −2.0 m/s. Find the change in linear momentum.

Ans: -24 kgm/s or Ns

  1. A particle (m = 4.0 kg) approaches a wall at u = 8.0 m/s and rebounds at v =−5.0m/s. Determine the change in its linear momentum.

Ans: -52 kgm/s or Ns

  1. A rubber ball (m = 2.0 kg) strikes a wall at u=15 m/s and returns with v = −9.0m/s. Calculate the change in momentum.

Ans: -48 kgm/s or Ns

  1. A ball of mass m=0.5 kg hits a wall at u=10 m/s and bounces back at v = −6m/s. What is its change in momentum?

Ans: -8 kgm/s or Ns

Preamble: State if the following organisms or species are autotrophs or heterotrophs

  1. Bacteria

Ans: heterotrophs or autotrophs

  1. Algae

Ans: autotrophs

  1. Fungi

Ans: heterotrophs

  1. Protozoans

Ans: heterotrophs

Preamble: Name the order of insect to which each of the following insects belongs.

  1. Cricket

Ans: Orthoptera

  1. Grasshopper

Ans: Orthoptera

  1. Dragonflies

Ans: Odonatan

  1. Beetles

Ans: Coleoptera

Preamble: Give the systematic name of each of the following covalent compounds

  1. PCl5

Ans: phosphorus pentachloride

  1. Cl2O7

Ans: dichlorine heptoxide (do not accept heptaoxide)

  1. N2O4

Ans: dinitrogen tetroxide (do not accept tetraoxide)

  1. BrF3

Ans: bromine trifluoride

Preamble: Take the Gas constant R = 8.0 J/K.mol

  1. What is the number of moles of an ideal gas occupying 50.0 dm³ at 300.0 K and 100.0 kPa?

Ans: 2.1 moles

  1. What is the volume occupied by 2.0 moles of an ideal gas at 320.0 K and 150.0 kPa?

Ans: 34 dm3

  1. A 4.0 mole sample of an ideal gas occupies 100.0 dm³ at 200.0 kPa. What is its temperature?

Ans: 625 K

  1. What pressure is exerted by 2.0 moles of an ideal gas at 280.0 K in a 60.0 dm³ container?

Ans: 75 kPa

Preamble: Find the circumference of the circle given

  1. (x − 3)2 + (y + 2)2 = 25

Ans: 10π

  1. (x + 1)2 + (y − 4)2 = 49

Ans: 14π

  1. (x − 5)2 + (y − 1)2 = 36

Ans: 12π

  1. (x + 2)2 + (y + 3)2 = 81

Ans: 18π

Preamble: Find the length of the bases of an isosceles trapezium given the leg, altitude, and area:

  1. Leg = 13cm, altitude = 5cm and area = 120cm2

Ans: 36cm and 10cm

  1. Leg = 13cm, altitude = 12cm and area = 180cm2

Ans: 20cm and 10cm

  1. Leg = 10cm, altitude = 6cm and area = 108cm2

Ans: 26cm and 10cm

  1. Leg = 15cm, altitude = 9cm and area = 216cm2

Ans: 36cm and 12cm.


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