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Physics

Chapter 1 - Electric Current, Ohms Law and Kirchhoffs Laws

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Chapter 2 - Magnetic Effects of Electric Current and Measuring Instruments

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Chapter 3 - Electromagnetic Induction and AC Dynamo and Transformer

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Chapter 4 - Alternating Current AC Circuits

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Chapter 5 - Dual Nature of Wave and Particle

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Chapter 6 - Atomic Spectra and X-Rays

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Chapter 7 - Lasers and Principles

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Chapter 8 - Modern Electronics and Semiconductors

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Quiz

Lesson 3 Quiz: Kirchhoffs First and Second Laws for Complex Circuits

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1.
STEM Physics Problem 27: A copper wire of resistance 8.0 Ω is drawn out uniformly so that its length increases to three times its original value. Assuming constant mass and density, what is the new resistance of the wire?
72.0 Ω
24.0 Ω
16.0 Ω
2.67 Ω
2.
STEM AC Transformer Problem 9: An ideal step-down transformer connected to a 220 V mains supply delivers power to a 12 V, 24 W lamp. What is the current flowing in the primary coil?
2.0 A
1.5 A
0.545 A
0.109 A
3.
Pascal's principle states that when pressure is applied to an enclosed, incompressible fluid, it is transmitted:
Only downwards towards the bottom of the vessel
Strictly to compressible gases
With an exponential decay as distance increases
Undiminished to every portion of the fluid and to the walls of the containing vessel
4.
STEM Semiconductor Electronics Problem 16: How is a p-type semiconductor crystal produced from pure intrinsic silicon?
By doping the silicon crystal with trivalent impurity atoms (such as Boron or Aluminum), creating positive holes as majority carriers
By cooling silicon to absolute zero Kelvin
By heating pure silicon above 1,000°C without impurities
By doping with pentavalent Phosphorus atoms
5.
STEM Kirchhoff's Laws Problem 28: In a closed circuit junction, currents I1 = 2 A and I2 = 3 A flow toward junction A, while I3 = 1 A flows away. According to Kirchhoff's First Law (KCL), what is the magnitude and direction of the remaining current I
4 A flowing away from junction A
6 A flowing away from junction A
2 A flowing toward junction A
4 A flowing toward junction A
6.
STEM Kirchhoff's Laws Problem 23: In a closed circuit junction, currents I1 = 2 A and I2 = 3 A flow toward junction A, while I3 = 1 A flows away. According to Kirchhoff's First Law (KCL), what is the magnitude and direction of the remaining current I
4 A flowing away from junction A
6 A flowing away from junction A
2 A flowing toward junction A
4 A flowing toward junction A
7.
STEM Physics Problem 42: A copper wire of resistance 8.0 Ω is drawn out uniformly so that its length increases to three times its original value. Assuming constant mass and density, what is the new resistance of the wire?
16.0 Ω
2.67 Ω
24.0 Ω
72.0 Ω
8.
STEM Alternating Current Dynamo Problem 1: An AC generator coil of 100 turns and area 0.05 m2 rotates at 3,000 rpm in a uniform magnetic field of 0.14 T. What is the maximum electromotive force (EMF_max) generated? (Use π = 22/7)
110 V
220 V
440 V
311 V
9.
STEM Alternating Current Dynamo Problem 28: An AC generator coil of 100 turns and area 0.05 m2 rotates at 3,000 rpm in a uniform magnetic field of 0.14 T. What is the maximum electromotive force (EMF_max) generated? (Use π = 22/7)
110 V
440 V
311 V
220 V
10.
STEM Magnetic Force Problem 27: A straight conductor of length 0.50 m carries a current of 4.0 A in a uniform magnetic field of flux density 0.20 T. What is the magnetic force acting on the wire when it is inclined at 30° to the field lines?
0.40 N
0.10 N
0.346 N
0.20 N
11.
STEM Modern Physics Laser Problem 14: What fundamental condition is strictly required to achieve laser amplification via stimulated emission?
Complete absence of resonant optical mirrors
Thermal equilibrium where ground state atoms dominate
Population inversion, where the number of atoms in the metastable excited state exceeds that in the lower energy state
High electrical resistance in the discharge tube
12.
STEM AC Transformer Problem 3: An ideal step-down transformer connected to a 220 V mains supply delivers power to a 12 V, 24 W lamp. What is the current flowing in the primary coil?
0.545 A
0.109 A
2.0 A
1.5 A
13.
STEM Compton Effect Problem 8: In the Compton scattering effect, when a high-energy X-ray photon collides with a free stationary electron, which change occurs to the scattered photon?
Its speed decreases significantly while wavelength remains constant
Its frequency increases and energy increases
Its mass increases while kinetic energy decreases
Its frequency decreases, its wavelength increases, and its speed remains strictly c (speed of light)
14.
STEM Physics Problem 35: A copper wire of resistance 8.0 Ω is drawn out uniformly so that its length increases to three times its original value. Assuming constant mass and density, what is the new resistance of the wire?
16.0 Ω
2.67 Ω
72.0 Ω
24.0 Ω
15.
STEM Alternating Current Dynamo Problem 32: An AC generator coil of 100 turns and area 0.05 m2 rotates at 3,000 rpm in a uniform magnetic field of 0.14 T. What is the maximum electromotive force (EMF_max) generated? (Use π = 22/7)
220 V
440 V
311 V
110 V
16.
STEM Semiconductor Electronics Problem 30: How is a p-type semiconductor crystal produced from pure intrinsic silicon?
By cooling silicon to absolute zero Kelvin
By doping the silicon crystal with trivalent impurity atoms (such as Boron or Aluminum), creating positive holes as majority carriers
By doping with pentavalent Phosphorus atoms
By heating pure silicon above 1,000°C without impurities
17.
STEM Compton Effect Problem 40: In the Compton scattering effect, when a high-energy X-ray photon collides with a free stationary electron, which change occurs to the scattered photon?
Its frequency increases and energy increases
Its mass increases while kinetic energy decreases
Its speed decreases significantly while wavelength remains constant
Its frequency decreases, its wavelength increases, and its speed remains strictly c (speed of light)
18.
STEM AC Transformer Problem 30: An ideal step-down transformer connected to a 220 V mains supply delivers power to a 12 V, 24 W lamp. What is the current flowing in the primary coil?
0.109 A
0.545 A
1.5 A
2.0 A
19.
STEM Magnetic Force Problem 28: A straight conductor of length 0.50 m carries a current of 4.0 A in a uniform magnetic field of flux density 0.20 T. What is the magnetic force acting on the wire when it is inclined at 30° to the field lines?
0.10 N
0.20 N
0.40 N
0.346 N
20.
STEM Semiconductor Electronics Problem 36: How is a p-type semiconductor crystal produced from pure intrinsic silicon?
By doping the silicon crystal with trivalent impurity atoms (such as Boron or Aluminum), creating positive holes as majority carriers
By heating pure silicon above 1,000°C without impurities
By doping with pentavalent Phosphorus atoms
By cooling silicon to absolute zero Kelvin
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