Q. If two point charges are brought closer together, what happens to the electric potential energy of the system?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
Show solution
Solution
The electric potential energy increases as the charges are brought closer together if they are of the same sign.
Correct Answer:
A
— Increases
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Q. If two polarizers are oriented at 90 degrees to each other, what will be the intensity of light passing through them?
A.
Maximum intensity
B.
Half of the original intensity
C.
Zero intensity
D.
The same as the first polarizer
Show solution
Solution
When two polarizers are oriented at 90 degrees to each other, no light can pass through, resulting in zero intensity.
Correct Answer:
C
— Zero intensity
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Q. If two polarizers are placed at 90 degrees to each other, what will be the intensity of light passing through them?
A.
Equal to the intensity of the first polarizer
B.
Half of the intensity of the first polarizer
C.
Zero
D.
Equal to the intensity of the second polarizer
Show solution
Solution
When two polarizers are oriented at 90 degrees to each other, no light passes through, resulting in zero intensity.
Correct Answer:
C
— Zero
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Q. If two polarizers are placed in series with their axes at 90 degrees to each other, what will be the intensity of light passing through?
A.
It will be maximum
B.
It will be minimum
C.
It will be half of the original intensity
D.
It will be one-fourth of the original intensity
Show solution
Solution
When two polarizers are at 90 degrees to each other, no light passes through, resulting in minimum intensity.
Correct Answer:
B
— It will be minimum
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Q. If two resistors of 4 ohms and 6 ohms are connected in parallel, what is the current through the 4 ohm resistor when a 12V battery is connected?
A.
3 A
B.
2 A
C.
1 A
D.
4 A
Show solution
Solution
Using Ohm's law, I = V/R, for the 4 ohm resistor, I = 12V / 4 ohms = 3 A.
Correct Answer:
A
— 3 A
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Q. If two resistors of 4 ohms and 6 ohms are connected in series, what is the voltage drop across the 4 ohm resistor when a current of 2 A flows through the circuit?
A.
8 V
B.
4 V
C.
2 V
D.
6 V
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Solution
Using Ohm's law, V = I * R, the voltage drop across the 4 ohm resistor is V = 2 A * 4 ohms = 8 V.
Correct Answer:
A
— 8 V
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Q. If two resistors of 4Ω and 12Ω are connected in series, what is the total voltage across them if the current flowing is 2A? (2020)
A.
32V
B.
24V
C.
16V
D.
8V
Show solution
Solution
Total resistance R = 4Ω + 12Ω = 16Ω. Voltage V = I * R = 2A * 16Ω = 32V.
Correct Answer:
B
— 24V
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Q. If two resistors of 4Ω and 6Ω are connected in parallel, what is the equivalent resistance? (2022)
A.
2.4Ω
B.
10Ω
C.
24Ω
D.
1.5Ω
Show solution
Solution
Using the formula for parallel resistors, 1/R_eq = 1/R1 + 1/R2 = 1/4 + 1/6 = 5/12, R_eq = 12/5 = 2.4Ω.
Correct Answer:
A
— 2.4Ω
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Q. If two resistors of 4Ω and 6Ω are connected in series, what is the total resistance? (2023)
A.
10Ω
B.
24Ω
C.
2.4Ω
D.
12Ω
Show solution
Solution
In series, R_eq = R1 + R2 = 4Ω + 6Ω = 10Ω.
Correct Answer:
A
— 10Ω
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Q. If two resistors of 4Ω and 6Ω are connected in series, what is the total voltage across them if the current is 2A? (2022)
A.
20V
B.
12V
C.
8V
D.
10V
Show solution
Solution
Total resistance R = 4Ω + 6Ω = 10Ω. Voltage V = I * R = 2A * 10Ω = 20V.
Correct Answer:
A
— 20V
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Q. If two resistors of 5Ω and 10Ω are connected in series, what is the total resistance? (2021)
A.
5Ω
B.
10Ω
C.
15Ω
D.
20Ω
Show solution
Solution
In series, R_total = R1 + R2 = 5Ω + 10Ω = 15Ω.
Correct Answer:
C
— 15Ω
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Q. If two resistors of resistivity 5 x 10^-6 Ω·m are connected in series, what is the total resistivity?
A.
5 x 10^-6 Ω·m
B.
10 x 10^-6 Ω·m
C.
2.5 x 10^-6 Ω·m
D.
None of the above
Show solution
Solution
Resistivity is a property of the material, not the configuration; it remains 5 x 10^-6 Ω·m.
Correct Answer:
A
— 5 x 10^-6 Ω·m
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Q. If two resistors of resistivity 5 Ω·m and 10 Ω·m are connected in series, what is the total resistance?
A.
15 Ω
B.
5 Ω
C.
10 Ω
D.
20 Ω
Show solution
Solution
Total resistance in series is the sum: R_total = R1 + R2 = 5 + 10 = 15 Ω.
Correct Answer:
A
— 15 Ω
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Q. If two resistors of resistivity ρ are connected in series, what is the total resistivity of the combination?
A.
ρ
B.
2ρ
C.
ρ/2
D.
Depends on the configuration
Show solution
Solution
Resistivity is a property of the material and does not change with series or parallel connections.
Correct Answer:
A
— ρ
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Q. If two rigid bodies have the same mass and shape but one is rotating faster than the other, how does their moment of inertia compare?
A.
The same
B.
The faster one has a larger moment of inertia
C.
The slower one has a larger moment of inertia
D.
Cannot be determined
Show solution
Solution
The moment of inertia depends only on the mass distribution and shape, not on the angular velocity.
Correct Answer:
A
— The same
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Q. If two sound waves of the same frequency interfere constructively, what happens to the resultant amplitude?
A.
It decreases
B.
It remains the same
C.
It doubles
D.
It becomes zero
Show solution
Solution
In constructive interference, the amplitudes of the waves add up, resulting in a doubled amplitude.
Correct Answer:
C
— It doubles
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Q. If two tangents are drawn from a point outside a circle and they are equal in length, what can be said about the point?
A.
It is inside the circle
B.
It is on the circle
C.
It is outside the circle
D.
It is the center of the circle
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Solution
The point from which the tangents are drawn is outside the circle, as tangents can only be drawn from external points.
Correct Answer:
C
— It is outside the circle
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Q. If two tangents are drawn from a point outside a circle and they are equal in length, what can be said about the point and the circle?
A.
The point is inside the circle
B.
The point is on the circle
C.
The point is outside the circle
D.
The point is the center of the circle
Show solution
Solution
The point must be outside the circle for the tangents to be equal in length.
Correct Answer:
C
— The point is outside the circle
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Q. If two tangents are drawn from a point outside a circle, and the lengths of the tangents are 7 cm each, what is the distance from the point to the center of the circle?
Show solution
Solution
The distance from the point to the center is given by the formula: distance = √(tangent length² + radius²). Here, radius = 7, so distance = √(7² + 7²) = √(49 + 49) = √98 = 7√2.
Correct Answer:
A
— 7√2
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Q. If two tangents are drawn from a point outside a circle, and the lengths of the tangents are 7 cm and 7 cm, what is the distance from the point to the center of the circle?
Show solution
Solution
The distance from the point to the center is equal to the length of the tangent divided by cos(45°), which is 7√2.
Correct Answer:
A
— 7√2
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Q. If two waves have a phase difference of π radians, what type of interference occurs?
A.
Constructive interference
B.
Destructive interference
C.
No interference
D.
Complete interference
Show solution
Solution
A phase difference of π radians results in destructive interference.
Correct Answer:
B
— Destructive interference
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Q. If two waves interfere constructively, what is the condition for the path difference?
A.
(n + 1/2)λ
B.
nλ
C.
(n - 1/2)λ
D.
n/2 λ
Show solution
Solution
Constructive interference occurs when the path difference is nλ, where n is an integer.
Correct Answer:
B
— nλ
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Q. If two waves of equal amplitude interfere destructively, what is the phase difference between them?
A.
0 rad
B.
π/2 rad
C.
π rad
D.
3π/2 rad
Show solution
Solution
Destructive interference occurs when the phase difference is π rad.
Correct Answer:
C
— π rad
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Q. If two waves of equal amplitude interfere destructively, what is the resultant amplitude?
Show solution
Solution
For destructive interference, the resultant amplitude is zero when two equal amplitudes cancel each other out.
Correct Answer:
A
— 0
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Q. If two waves of equal amplitude interfere, what is the maximum intensity observed?
A.
A^2
B.
2A^2
C.
4A^2
D.
A
Show solution
Solution
Maximum intensity (I_max) = 4A^2 for two waves of equal amplitude A.
Correct Answer:
B
— 2A^2
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Q. If two waves of the same frequency interfere constructively, what is the result?
A.
A wave of lower amplitude
B.
A wave of higher amplitude
C.
No wave
D.
A standing wave
Show solution
Solution
Constructive interference results in a wave of higher amplitude.
Correct Answer:
B
— A wave of higher amplitude
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Q. If two waves traveling in opposite directions interfere constructively, what is the result?
A.
A smaller amplitude wave
B.
A larger amplitude wave
C.
No wave
D.
A standing wave
Show solution
Solution
Constructive interference occurs when two waves meet in phase, resulting in a wave with a larger amplitude.
Correct Answer:
B
— A larger amplitude wave
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Q. If two wires of the same material are connected in series, how does their combined resistance compare to the individual resistances?
A.
Less than both
B.
Equal to the sum
C.
Greater than both
D.
Depends on length
Show solution
Solution
In series, the total resistance is the sum of individual resistances.
Correct Answer:
B
— Equal to the sum
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Q. If u = (1, 2) and v = (3, 4), what is the dot product u · v?
Show solution
Solution
Dot product u · v = 1*3 + 2*4 = 3 + 8 = 11.
Correct Answer:
A
— 10
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Q. If u = (1, 2) and v = (3, 4), what is u + v?
A.
(4, 6)
B.
(2, 3)
C.
(1, 2)
D.
(3, 4)
Show solution
Solution
u + v = (1 + 3, 2 + 4) = (4, 6)
Correct Answer:
A
— (4, 6)
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