Physics Syllabus (JEE Main)
Q. What is the truth value of the expression A AND (B OR C) when A = 1, B = 0, C = 1?
-
A.
0
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B.
1
-
C.
2
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D.
Undefined
Solution
B OR C = 0 OR 1 = 1. Then, A AND 1 = 1 AND 1 = 1.
Correct Answer: B — 1
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Q. What is the typical band gap of germanium?
-
A.
0.66 eV
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B.
1.1 eV
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C.
1.5 eV
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D.
2.0 eV
Solution
The typical band gap of germanium is approximately 0.66 eV.
Correct Answer: A — 0.66 eV
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Q. What is the typical range of energy band gaps for semiconductors?
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A.
0.1 - 0.5 eV
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B.
0.5 - 1.5 eV
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C.
1.5 - 3.0 eV
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D.
3.0 - 5.0 eV
Solution
The typical range of energy band gaps for semiconductors is between 0.5 eV and 1.5 eV.
Correct Answer: B — 0.5 - 1.5 eV
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Q. What is the typical range of the energy band gap for semiconductors?
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A.
0.1 - 0.5 eV
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B.
0.5 - 2.5 eV
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C.
2.5 - 5 eV
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D.
5 - 10 eV
Solution
The typical range of the energy band gap for semiconductors is between 0.5 eV and 2.5 eV.
Correct Answer: B — 0.5 - 2.5 eV
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Q. What is the uncertainty in a measurement of 50.0 ± 0.5 g when converted to kilograms?
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A.
0.0005 kg
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B.
0.005 kg
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C.
0.05 kg
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D.
0.5 kg
Solution
To convert grams to kilograms, divide by 1000. The uncertainty in kilograms is 0.5 g / 1000 = 0.0005 kg.
Correct Answer: B — 0.005 kg
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Q. What is the uncertainty in position if the uncertainty in momentum of a particle is 1.0 x 10^-24 kg m/s?
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A.
1.0 x 10^-10 m
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B.
6.63 x 10^-10 m
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C.
1.0 x 10^-34 m
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D.
6.63 x 10^-34 m
Solution
Using Heisenberg's uncertainty principle, ΔxΔp ≥ ħ/2, we find Δx ≥ ħ/(2Δp) = (1.055 x 10^-34)/(2 x 1.0 x 10^-24) = 5.27 x 10^-11 m.
Correct Answer: D — 6.63 x 10^-34 m
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Q. What is the uncertainty in the measurement of a length of 5.00 cm ± 0.02 cm when calculating the area?
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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?
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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?
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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 unit of angular momentum in the SI system?
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A.
kg·m/s
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B.
kg·m^2/s
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C.
kg·m^2/s^2
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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?
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A.
Farad
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B.
Coulomb
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C.
Volt
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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 current?
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A.
Volt
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B.
Ohm
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C.
Ampere
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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?
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A.
Volt per meter
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B.
Coulomb per meter
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C.
Newton per coulomb
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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
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B.
Newton/Coulomb
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C.
Coulomb
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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?
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A.
Coulomb
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B.
Volt
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C.
Joule
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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 resistance?
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A.
Volt
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B.
Ampere
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C.
Ohm
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D.
Watt
Solution
The unit of electrical resistance is Ohm.
Correct Answer: C — Ohm
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Q. What is the unit of force in the SI system?
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A.
Joule
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B.
Newton
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C.
Pascal
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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?
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A.
Hertz
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B.
Decibel
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C.
Newton
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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?
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A.
J/kg
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B.
N/kg
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C.
J
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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?
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A.
Joule
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B.
Calorie
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C.
Watt
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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?
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A.
Ohm
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B.
Farad
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C.
Henry
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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?
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A.
Ohm
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B.
Henry
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C.
Farad
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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)?
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A.
Tesla
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B.
Weber
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C.
Henry
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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?
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A.
Tesla
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B.
Newton
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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?
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A.
Tesla
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B.
Ampere
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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?
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A.
Tesla
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B.
Newton per Coulomb
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C.
Volt per meter
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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?
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A.
Coulomb
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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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Q. What is the unit of magnetic field strength in the context of Ampere's Law?
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A.
Coulomb
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B.
Tesla
-
C.
Henry
-
D.
Ohm
Solution
The unit of magnetic field strength is Tesla (T).
Correct Answer: B — Tesla
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