Q. What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?
-
A.
0.04 cm²
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B.
0.10 cm²
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C.
0.20 cm²
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D.
0.50 cm²
Solution
Area = length² = (5.00 cm)² = 25.00 cm². The uncertainty in area is calculated using the formula: ΔA = 2LΔL = 2(5.00 cm)(0.02 cm) = 0.20 cm².
Correct Answer: B — 0.10 cm²
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Q. What is the uncertainty in the result of adding 5.0 cm and 3.0 cm, each with an uncertainty of 0.1 cm?
-
A.
0.1 cm
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B.
0.2 cm
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C.
0.3 cm
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D.
0.4 cm
Solution
When adding, the uncertainties are added: 0.1 cm + 0.1 cm = 0.2 cm.
Correct Answer: B — 0.2 cm
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Q. What is the uncertainty principle formulated by Heisenberg?
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A.
ΔxΔp ≥ ħ/2
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B.
ΔEΔt ≥ ħ
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C.
ΔxΔE ≥ ħ
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D.
ΔpΔt ≥ ħ
Solution
The uncertainty principle states that the product of the uncertainties in position (Δx) and momentum (Δp) is greater than or equal to ħ/2.
Correct Answer: A — ΔxΔp ≥ ħ/2
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Q. What is the uncertainty principle in quantum mechanics?
-
A.
ΔxΔp ≥ ħ/2
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B.
ΔEΔt ≥ ħ/2
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C.
Both A and B
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D.
None of the above
Solution
The uncertainty principle states that ΔxΔp ≥ ħ/2 and ΔEΔt ≥ ħ/2, where ħ is the reduced Planck's constant.
Correct Answer: C — Both A and B
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Q. What is the union of the sets I = {1, 2} and J = {2, 3}?
-
A.
{1, 2, 3}
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B.
{1, 2}
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C.
{2, 3}
-
D.
{1, 2, 2, 3}
Solution
The union of two sets includes all unique elements from both sets. Thus, I ∪ J = {1, 2, 3}.
Correct Answer: A — {1, 2, 3}
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Q. What is the union of the sets {1, 2} and {2, 3}?
-
A.
{1, 2}
-
B.
{1, 2, 3}
-
C.
{2, 3}
-
D.
{1, 2, 2, 3}
Solution
The union of two sets includes all elements from both sets without duplicates. Thus, {1, 2} ∪ {2, 3} = {1, 2, 3}.
Correct Answer: B — {1, 2, 3}
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Q. What is the union of the sets {a, b} and {b, c}?
-
A.
{a, b}
-
B.
{a, b, c}
-
C.
{b, c}
-
D.
{a, c}
Solution
The union of two sets is the set of elements that are in either set. Here, {a, b} ∪ {b, c} = {a, b, c}.
Correct Answer: B — {a, b, c}
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Q. What is the unit of angular momentum in the SI system?
-
A.
kg·m/s
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B.
kg·m^2/s
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C.
kg·m^2/s^2
-
D.
Joule
Solution
The unit of angular momentum is kg·m^2/s.
Correct Answer: B — kg·m^2/s
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Q. What is the unit of capacitance?
-
A.
Farad
-
B.
Coulomb
-
C.
Volt
-
D.
Ohm
Solution
The unit of capacitance is the Farad (F), which is defined as one coulomb per volt.
Correct Answer: A — Farad
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Q. What is the unit of electric charge?
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A.
Volt
-
B.
Ampere
-
C.
Coulomb
-
D.
Ohm
Solution
The unit of electric charge is the Coulomb.
Correct Answer: C — Coulomb
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Q. What is the unit of electric current?
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A.
Volt
-
B.
Ohm
-
C.
Ampere
-
D.
Coulomb
Solution
The unit of electric current is Ampere (A).
Correct Answer: C — Ampere
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Q. What is the unit of electric field strength?
-
A.
Volt per meter
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B.
Coulomb per meter
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C.
Newton per coulomb
-
D.
Joule per coulomb
Solution
The electric field strength is defined as the force per unit charge, which is measured in volts per meter (V/m).
Correct Answer: A — Volt per meter
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Q. What is the unit of electric field?
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A.
Volt
-
B.
Newton/Coulomb
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C.
Coulomb
-
D.
Joule
Solution
The electric field is defined as the force per unit charge, hence its unit is Newton per Coulomb (N/C).
Correct Answer: B — Newton/Coulomb
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Q. What is the unit of electric potential?
-
A.
Coulomb
-
B.
Volt
-
C.
Joule
-
D.
Newton
Solution
The unit of electric potential is the Volt (V), which is defined as one Joule per Coulomb.
Correct Answer: B — Volt
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Q. What is the unit of electrical charge?
-
A.
Volt
-
B.
Ampere
-
C.
Coulomb
-
D.
Ohm
Solution
The unit of electrical charge is the Coulomb.
Correct Answer: C — Coulomb
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Q. What is the unit of electrical resistance?
-
A.
Volt
-
B.
Ampere
-
C.
Ohm
-
D.
Watt
Solution
The unit of electrical resistance is Ohm.
Correct Answer: C — Ohm
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Q. What is the unit of enthalpy?
-
A.
Joules per mole (J/mol)
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B.
Calories per mole (cal/mol)
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C.
Both A and B
-
D.
Liters per mole (L/mol)
Solution
Enthalpy can be expressed in both Joules per mole and Calories per mole.
Correct Answer: C — Both A and B
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Q. What is the unit of entropy?
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A.
J/mol·K
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B.
J/K
-
C.
K
-
D.
J/mol
Solution
The unit of entropy is Joules per mole per Kelvin (J/mol·K).
Correct Answer: A — J/mol·K
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Q. What is the unit of force in the SI system?
-
A.
Joule
-
B.
Newton
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C.
Pascal
-
D.
Watt
Solution
The SI unit of force is the Newton.
Correct Answer: B — Newton
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Q. What is the unit of frequency?
-
A.
Hertz
-
B.
Decibel
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C.
Newton
-
D.
Joule
Solution
The unit of frequency is Hertz (Hz), which measures cycles per second.
Correct Answer: A — Hertz
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Q. What is the unit of gravitational potential?
-
A.
J/kg
-
B.
N/kg
-
C.
J
-
D.
kg
Solution
The unit of gravitational potential is Joules per kilogram (J/kg).
Correct Answer: A — J/kg
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Q. What is the unit of heat in the SI system?
-
A.
Joule
-
B.
Calorie
-
C.
Watt
-
D.
Newton
Solution
The SI unit of heat is the Joule.
Correct Answer: A — Joule
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Q. What is the unit of impedance in an AC circuit?
-
A.
Ohm
-
B.
Farad
-
C.
Henry
-
D.
Coulomb
Solution
The unit of impedance in an AC circuit is Ohm, which is the same as resistance.
Correct Answer: A — Ohm
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Q. What is the unit of inductance?
-
A.
Ohm
-
B.
Henry
-
C.
Farad
-
D.
Coulomb
Solution
The unit of inductance is Henry (H).
Correct Answer: B — Henry
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Q. What is the unit of magnetic field strength (B)?
-
A.
Tesla
-
B.
Weber
-
C.
Henry
-
D.
Ampere
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer: A — Tesla
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Q. What is the unit of magnetic field strength as defined by the Biot-Savart Law?
-
A.
Tesla
-
B.
Newton
-
C.
Coulomb
-
D.
Ampere
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer: A — Tesla
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Q. What is the unit of magnetic field strength as derived from Biot-Savart Law?
-
A.
Tesla
-
B.
Ampere
-
C.
Weber
-
D.
Henry
Solution
The unit of magnetic field strength is Tesla (T), which is derived from the Biot-Savart Law.
Correct Answer: A — Tesla
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Q. What is the unit of magnetic field strength as derived from the Biot-Savart Law?
-
A.
Tesla
-
B.
Newton per Coulomb
-
C.
Volt per meter
-
D.
Ampere
Solution
The unit of magnetic field strength is Tesla (T), which is derived from the Biot-Savart Law.
Correct Answer: A — Tesla
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Q. What is the unit of magnetic field strength as per Ampere's Law?
-
A.
Coulomb
-
B.
Tesla
-
C.
Henry
-
D.
Ohm
Solution
The unit of magnetic field strength is Tesla (T), which is derived from Ampere's Law.
Correct Answer: B — Tesla
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Q. What is the unit of magnetic field strength as per Biot-Savart Law?
-
A.
Tesla
-
B.
Ampere
-
C.
Newton
-
D.
Coulomb
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer: A — Tesla
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