Q. In a transformer, if the primary coil has more turns than the secondary coil, what type of transformer is it? (2021)
A.
Step-up transformer
B.
Step-down transformer
C.
Isolation transformer
D.
Auto transformer
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Solution
If the primary coil has more turns than the secondary coil, it is a step-down transformer.
Correct Answer: B — Step-down transformer
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Q. In a transformer, the ratio of the number of turns in the primary coil to the secondary coil determines what?
A.
The voltage transformation ratio
B.
The current transformation ratio
C.
The power transformation ratio
D.
The frequency of the output
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Solution
The voltage transformation ratio in a transformer is determined by the ratio of the number of turns in the primary coil to that in the secondary coil.
Correct Answer: A — The voltage transformation ratio
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Q. In a triangle, if one angle is 45 degrees and the other is 45 degrees, what is the measure of the third angle? (2020)
A.
90 degrees
B.
45 degrees
C.
60 degrees
D.
30 degrees
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Solution
The sum of the angles in a triangle is always 180 degrees. Therefore, if two angles are 45 degrees each, the third angle = 180 - (45 + 45) = 90 degrees.
Correct Answer: A — 90 degrees
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Q. In a triangle, if one angle is 90 degrees, what can be inferred about the other two angles?
A.
They are both acute angles.
B.
One is obtuse and the other is acute.
C.
They are both obtuse angles.
D.
They are equal.
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Solution
In a right triangle, the sum of the other two angles must be 90 degrees, making them both acute.
Correct Answer: A — They are both acute angles.
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Q. In a triangle, if one angle is twice the size of another angle, and the third angle is 30 degrees less than the largest angle, what is the measure of the smallest angle?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
75 degrees
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Solution
Let the smallest angle be x. Then the second angle is 2x and the largest angle is 2x - 30. The sum of angles in a triangle is 180 degrees. Therefore, x + 2x + (2x - 30) = 180. Solving this gives x = 30 degrees.
Correct Answer: A — 30 degrees
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Q. In a triangle, if the angles are in the ratio 2:3:4, what is the measure of the largest angle? (2020)
A.
60 degrees
B.
80 degrees
C.
90 degrees
D.
120 degrees
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Solution
Let the angles be 2x, 3x, and 4x. Then, 2x + 3x + 4x = 180, so 9x = 180, x = 20. The largest angle is 4x = 80 degrees.
Correct Answer: D — 120 degrees
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Q. In a triangle, if the lengths of two sides are 7 cm and 10 cm, which of the following could be the length of the third side?
A.
3 cm
B.
15 cm
C.
5 cm
D.
17 cm
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Solution
According to the triangle inequality theorem, the length of the third side must be less than the sum and greater than the difference of the other two sides. Therefore, the third side must be greater than 3 cm and less than 17 cm.
Correct Answer: A — 3 cm
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Q. In a triangle, if two sides are 7 cm and 10 cm, what is the maximum possible length of the third side? (2019)
A.
16 cm
B.
17 cm
C.
18 cm
D.
19 cm
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Solution
The maximum length of the third side = sum of the other two sides - 1 = 7 + 10 - 1 = 16 cm.
Correct Answer: B — 17 cm
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Q. In a two-slit interference pattern, if the angle of the first order maximum is θ, what is the path difference?
A.
λ
B.
2λ
C.
λ sin θ
D.
2λ sin θ
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Solution
The path difference for the first order maximum is given by d sin θ = λ, hence the path difference is λ sin θ.
Correct Answer: C — λ sin θ
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Q. In a two-slit interference pattern, if the distance between the slits is increased, what happens to the number of visible fringes on the screen?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Increasing the distance between the slits (d) decreases the fringe width, which in turn reduces the number of visible fringes on the screen.
Correct Answer: B — Decreases
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Q. In a two-slit interference pattern, if the distance between the slits is increased, what happens to the fringe separation?
A.
Increases
B.
Decreases
C.
Remains the same
D.
Becomes zero
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Solution
Increasing the distance between the slits (d) decreases the fringe separation, as fringe separation is inversely proportional to d.
Correct Answer: B — Decreases
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Q. In a two-slit interference pattern, if the distance to the screen is doubled, what happens to the fringe spacing?
A.
It doubles
B.
It halves
C.
It remains the same
D.
It quadruples
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Solution
Fringe spacing (β) is directly proportional to the distance to the screen (D). If D is doubled, the fringe spacing also doubles.
Correct Answer: A — It doubles
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Q. In a two-slit interference pattern, if the intensity at the center is I0, what is the intensity at the first minimum?
A.
0
B.
I0
C.
I0/2
D.
I0/4
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Solution
At the first minimum, the intensity is 0 due to destructive interference.
Correct Answer: A — 0
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Q. In a two-slit interference pattern, if the intensity at the center is I_0, what is the intensity at the first minimum?
A.
0
B.
I_0
C.
I_0/2
D.
I_0/4
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Solution
At the first minimum, the intensity is 0 due to destructive interference.
Correct Answer: A — 0
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Q. In a two-slit interference pattern, if the intensity of light from one slit is increased, what happens to the overall intensity of the pattern?
A.
It decreases
B.
It remains the same
C.
It increases
D.
It becomes zero
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Solution
Increasing the intensity from one slit increases the overall intensity of the interference pattern.
Correct Answer: C — It increases
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Q. In a uniform circular motion, which of the following quantities remains constant?
A.
Velocity
B.
Acceleration
C.
Speed
D.
Centripetal force
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Solution
In uniform circular motion, speed remains constant while velocity and acceleration change direction.
Correct Answer: C — Speed
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Q. In a uniform electric field, how does the electric potential change with distance?
A.
Linearly
B.
Quadratically
C.
Exponentially
D.
Remains constant
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Solution
In a uniform electric field, the electric potential changes linearly with distance.
Correct Answer: A — Linearly
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Q. In a uniform electric field, the equipotential surfaces are always:
A.
Perpendicular to the field lines
B.
Parallel to the field lines
C.
Curved
D.
None of the above
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Solution
Equipotential surfaces are always perpendicular to electric field lines.
Correct Answer: A — Perpendicular to the field lines
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Q. In a uniform electric field, the equipotential surfaces are:
A.
Curved
B.
Straight lines
C.
Concentric circles
D.
Parallel planes
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Solution
In a uniform electric field, the equipotential surfaces are parallel planes.
Correct Answer: D — Parallel planes
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Q. In a uniform electric field, the potential difference between two points is 10 V. If the distance between these points is 2 m, what is the strength of the electric field? (2023)
A.
5 N/C
B.
10 N/C
C.
20 N/C
D.
2 N/C
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Solution
E = V/d = 10 V / 2 m = 5 N/C.
Correct Answer: A — 5 N/C
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Q. In a uniform electric field, the potential difference between two points is directly proportional to what?
A.
Distance between the points
B.
Magnitude of the electric field
C.
Both A and B
D.
None of the above
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Solution
The potential difference is directly proportional to both the distance between the points and the magnitude of the electric field.
Correct Answer: C — Both A and B
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Q. In a uniform electric field, the potential difference between two points is given by which formula?
A.
V = Ed
B.
V = E/d
C.
V = d/E
D.
V = E × d
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Solution
In a uniform electric field, the potential difference (V) between two points is given by V = Ed, where d is the distance between the points.
Correct Answer: A — V = Ed
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Q. In a uniform electric field, the potential difference between two points is given by which of the following?
A.
E × d
B.
E/d
C.
d/E
D.
E + d
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Solution
In a uniform electric field, the potential difference (V) between two points separated by a distance (d) is given by V = E × d, where E is the electric field strength.
Correct Answer: A — E × d
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Q. In a uniform magnetic field, a charged particle moves in a circular path. What is the relationship between the radius of the path and the speed of the particle? (2022)
A.
Directly proportional
B.
Inversely proportional
C.
No relation
D.
Quadratic relation
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Solution
The radius of the circular path is directly proportional to the speed of the charged particle in a uniform magnetic field.
Correct Answer: A — Directly proportional
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Q. In a uniform magnetic field, the magnetic force on a charged particle is maximum when the angle between the velocity and the magnetic field is:
A.
0 degrees
B.
90 degrees
C.
180 degrees
D.
45 degrees
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Solution
The magnetic force is maximum when the angle between the velocity and the magnetic field is 90 degrees, as sin(90°) = 1.
Correct Answer: B — 90 degrees
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Q. In a uniform magnetic field, the magnetic force on a current-carrying conductor is maximum when the angle between the conductor and the field is: (2019)
A.
0 degrees
B.
90 degrees
C.
45 degrees
D.
180 degrees
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Solution
The magnetic force is maximum when the angle between the conductor and the magnetic field is 90 degrees, as sin(90°) = 1.
Correct Answer: B — 90 degrees
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Q. In a vacuum, sound cannot travel because there is no _____. (2020)
A.
Medium
B.
Frequency
C.
Amplitude
D.
Wavelength
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Solution
Sound requires a medium (solid, liquid, or gas) to travel; in a vacuum, there are no particles to transmit sound waves.
Correct Answer: A — Medium
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Q. In a vacuum, which mode of heat transfer is not possible?
A.
Conduction
B.
Convection
C.
Radiation
D.
All of the above
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Solution
Convection is not possible in a vacuum as it requires a medium (fluid) for heat transfer.
Correct Answer: B — Convection
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Q. In a vacuum, which of the following travels fastest?
A.
Sound
B.
Light
C.
Radio waves
D.
All travel at the same speed
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Solution
In a vacuum, light travels fastest at approximately 3 x 10^8 m/s.
Correct Answer: B — Light
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Q. In a vacuum, which of the following travels the fastest?
A.
Sound
B.
Light
C.
Water waves
D.
Radio waves
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Solution
In a vacuum, light travels the fastest at approximately 3 x 10^8 m/s, while sound and water waves require a medium to travel.
Correct Answer: B — Light
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