Q. What is the effect of the -M group on the stability of a carbocation?
A.
Destabilizes the carbocation
B.
Stabilizes the carbocation
C.
No effect on stability
D.
Increases acidity
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Solution
-M groups destabilize carbocations by withdrawing electron density through resonance.
Correct Answer: A — Destabilizes the carbocation
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Q. What is the effect of the author's tone throughout the passage? (2023)
A.
It creates a sense of urgency.
B.
It fosters a feeling of nostalgia.
C.
It encourages critical reflection.
D.
It promotes a carefree attitude.
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Solution
The author's tone encourages readers to reflect critically on the issues discussed, making option 2 the correct answer.
Correct Answer: C — It encourages critical reflection.
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Q. What is the effect of the author's use of rhetorical questions in the passage?
A.
To confuse the reader
B.
To provoke thought and engagement
C.
To provide clear answers
D.
To dismiss opposing viewpoints
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Solution
The use of rhetorical questions is intended to provoke thought and engagement from the reader, encouraging them to reflect on the issues presented.
Correct Answer: B — To provoke thought and engagement
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Q. What is the effect on the angular momentum of a system if an external torque is applied?
A.
It increases
B.
It decreases
C.
It changes
D.
It remains constant
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Solution
An external torque changes the angular momentum of the system.
Correct Answer: C — It changes
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Q. What is the effect on the fringe separation in a double-slit experiment if the distance between the slits and the screen is increased? (2021)
A.
Fringe separation decreases
B.
Fringe separation increases
C.
Fringe separation remains the same
D.
Fringe separation becomes zero
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Solution
Fringe separation is directly proportional to the distance from the slits to the screen. Increasing this distance increases the fringe separation.
Correct Answer: B — Fringe separation increases
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Q. What is the effect on the interference pattern if the wavelength of light used in a double-slit experiment is increased? (2023)
A.
Fringe width decreases
B.
Fringe width increases
C.
Fringe separation remains the same
D.
Fringe visibility decreases
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Solution
Increasing the wavelength increases the fringe width, as fringe width β is directly proportional to the wavelength.
Correct Answer: B — Fringe width increases
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Q. What is the effect on the total current in a circuit if an additional resistor is added in parallel to an existing resistor?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Adding a resistor in parallel decreases the total resistance, which increases the total current according to Ohm's law.
Correct Answer: A — Increases
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Q. What is the effect on the total resistance in a circuit when more resistors are added in series?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Adding more resistors in series increases the total resistance, as total resistance is the sum of individual resistances.
Correct Answer: A — Increases
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Q. What is the effect on the total resistance in a series circuit if one resistor is removed? (2023)
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Removing a resistor from a series circuit decreases the total resistance since the sum of the remaining resistances is less.
Correct Answer: B — Decreases
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Q. What is the effect on the total resistance when a resistor is added in parallel to an existing resistor?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Doubles
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Solution
Adding a resistor in parallel decreases the total resistance of the circuit.
Correct Answer: B — Decreases
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Q. What is the effect on the total resistance when more resistors are added in parallel?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on the resistors
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Solution
Adding resistors in parallel decreases the total resistance.
Correct Answer: B — Decreases
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Q. What is the effect on the total resistance when more resistors are added in parallel to a circuit?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Doubles
Show solution
Solution
Adding more resistors in parallel decreases the total resistance of the circuit.
Correct Answer: B — Decreases
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Q. What is the effect on the total resistance when more resistors are added in series to a circuit?
A.
It decreases
B.
It increases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
In series, the total resistance increases as more resistors are added.
Correct Answer: B — It increases
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Q. What is the effect on the total resistance when more resistors are added in series?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Depends on the resistors
Show solution
Solution
Total resistance increases when resistors are added in series.
Correct Answer: A — Increases
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Q. What is the effect on total resistance when more resistors are added in parallel? (2022)
A.
It increases
B.
It decreases
C.
It remains the same
D.
It becomes zero
Show solution
Solution
Adding resistors in parallel decreases the total resistance.
Correct Answer: B — It decreases
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Q. What is the efficiency of a Carnot engine operating between 300 K and 600 K? (2022)
A.
0.5
B.
0.33
C.
0.25
D.
0.67
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Solution
Efficiency = 1 - (T_c/T_h) = 1 - (300/600) = 0.5.
Correct Answer: A — 0.5
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Q. What is the efficiency of a Carnot engine operating between 500 K and 300 K? (2022)
A.
0.4
B.
0.5
C.
0.6
D.
0.7
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Solution
Efficiency = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.
Correct Answer: C — 0.6
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Q. What is the efficiency of a Carnot engine operating between a hot reservoir at 600 K and a cold reservoir at 300 K?
A.
0.5
B.
0.33
C.
0.25
D.
0.75
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Solution
Efficiency (η) = 1 - (T_c/T_h) = 1 - (300/600) = 0.5 or 50%.
Correct Answer: B — 0.33
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Q. What is the efficiency of a Carnot engine operating between temperatures of 500 K and 300 K?
A.
0.4
B.
0.5
C.
0.6
D.
0.7
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Solution
Efficiency (η) = 1 - (T2/T1) = 1 - (300/500) = 0.4 or 40%.
Correct Answer: C — 0.6
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Q. What is the efficiency of a Carnot engine operating between temperatures T1 and T2?
A.
(T1 - T2) / T1
B.
T2 / T1
C.
(T1 - T2) / T2
D.
1 - (T2 / T1)
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Solution
The efficiency of a Carnot engine is given by the formula: efficiency = 1 - (T2 / T1), where T1 is the higher temperature and T2 is the lower temperature.
Correct Answer: D — 1 - (T2 / T1)
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Q. What is the efficiency of a Carnot engine operating between temperatures T1 and T2? (2019) 2019
A.
(T1 - T2) / T1
B.
T2 / T1
C.
(T1 - T2) / T2
D.
1 - (T2 / T1)
Show solution
Solution
The efficiency (η) of a Carnot engine is given by η = 1 - (T2 / T1), where T1 is the higher temperature and T2 is the lower temperature.
Correct Answer: D — 1 - (T2 / T1)
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Q. What is the electric field at a distance d from an infinitely long charged wire with linear charge density λ?
A.
λ/(2πε₀d)
B.
λ/(4πε₀d²)
C.
λ/(2πε₀d²)
D.
0
Show solution
Solution
The electric field due to an infinitely long charged wire is given by E = λ/(2πε₀d).
Correct Answer: A — λ/(2πε₀d)
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Q. What is the electric field at a distance of 1 m from a charge of +10 µC? (2019)
A.
9000 N/C
B.
10000 N/C
C.
11000 N/C
D.
12000 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (10 × 10^-6 C) / (1 m)² = 9000 N/C.
Correct Answer: B — 10000 N/C
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Q. What is the electric field at a distance of 1 m from a charge of -4 μC? (2019)
A.
-3600 N/C
B.
-900 N/C
C.
900 N/C
D.
3600 N/C
Show solution
Solution
E = k * |q| / r² = (9 × 10^9 N m²/C²) * (4 × 10^-6 C) / (1 m)² = 3600 N/C, directed towards the charge.
Correct Answer: A — -3600 N/C
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Q. What is the electric field at a distance of 1m from a charge of +1μC?
A.
9 × 10^9 N/C
B.
9 × 10^6 N/C
C.
9 × 10^3 N/C
D.
9 × 10^12 N/C
Show solution
Solution
Electric field E = k * q / r^2 = (9 × 10^9) * (1 × 10^-6) / (1)^2 = 9 × 10^3 N/C.
Correct Answer: B — 9 × 10^6 N/C
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Q. What is the electric field at a distance r from a uniformly charged disk of radius R and surface charge density σ?
A.
σ/(2ε₀)
B.
σ/(4ε₀)
C.
σ/(2ε₀) * (1 - r/√(R² + r²))
D.
Zero
Show solution
Solution
The electric field at a distance r from a uniformly charged disk is given by E = σ/(2ε₀) * (1 - r/√(R² + r²)).
Correct Answer: C — σ/(2ε₀) * (1 - r/√(R² + r²))
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Q. What is the electric field at a distance r from a uniformly charged sphere of radius R and total charge Q, when r > R?
A.
Q/(4πε₀r²)
B.
Q/(4πε₀R²)
C.
Zero
D.
Q/(4πε₀R)
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Solution
For r > R, the electric field behaves as if all the charge were concentrated at the center, thus E = Q/(4πε₀r²).
Correct Answer: A — Q/(4πε₀r²)
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Q. What is the electric field at a distance r from an infinitely long line charge with linear charge density λ?
A.
λ/2πε₀r
B.
λ/4πε₀r²
C.
λ/ε₀r
D.
λ/2ε₀r²
Show solution
Solution
The electric field due to an infinite line charge is given by E = λ/2πε₀r.
Correct Answer: A — λ/2πε₀r
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Q. What is the electric field at a distance r from an infinitely long line of charge with linear charge density λ?
A.
λ/(2πε₀r)
B.
λ/(4πε₀r²)
C.
λ/(2πε₀r²)
D.
0
Show solution
Solution
The electric field due to an infinitely long line of charge is given by E = λ/(2πε₀r), directed radially outward from the line.
Correct Answer: A — λ/(2πε₀r)
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Q. What is the electric field at a point due to a positive charge?
A.
Directed towards the charge
B.
Directed away from the charge
C.
Zero
D.
Depends on the distance from the charge
Show solution
Solution
The electric field due to a positive charge is directed away from the charge.
Correct Answer: B — Directed away from the charge
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