Physics Syllabus (JEE Main)
Q. In a toroidal solenoid with N turns and carrying current I, what is the magnetic field inside the toroid?
A.
μ₀NI/2πr
B.
μ₀NI/r
C.
μ₀NI/4πr
D.
μ₀NI/2r
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Solution
Using Ampere's Law, B = μ₀NI/2πr inside a toroidal solenoid.
Correct Answer: B — μ₀NI/r
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Q. In a toroidal solenoid, how does the magnetic field strength depend on the number of turns per unit length?
A.
Directly proportional
B.
Inversely proportional
C.
Independent
D.
Exponential relation
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Solution
The magnetic field strength in a toroidal solenoid is directly proportional to the number of turns per unit length.
Correct Answer: A — Directly proportional
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Q. In a toroidal solenoid, what is the expression for the magnetic field inside the toroid?
A.
B = μ₀nI
B.
B = μ₀I/2πr
C.
B = μ₀I/n
D.
B = μ₀I/4πr²
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Solution
The magnetic field inside a toroidal solenoid is given by B = μ₀nI, where n is the number of turns per unit length along the circular path.
Correct Answer: A — B = μ₀nI
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Q. In a toroidal solenoid, what is the magnetic field inside the toroid?
A.
0
B.
μ₀nI
C.
μ₀I/2πr
D.
μ₀I/n
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Solution
The magnetic field inside a toroidal solenoid is given by B = μ₀nI.
Correct Answer: B — μ₀nI
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Q. In a total internal reflection scenario, if the angle of incidence is 45° and the refractive index of the medium is 1.5, what is the angle of refraction?
A.
45°
B.
30°
C.
60°
D.
Total internal reflection occurs
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Solution
Since the angle of incidence (45°) is less than the critical angle (approximately 41.8° for glass to air), total internal reflection does not occur, and the angle of refraction cannot be calculated.
Correct Answer: D — Total internal reflection occurs
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Q. In a total internal reflection, what is the minimum angle of incidence for light traveling from water to air?
A.
30 degrees
B.
45 degrees
C.
60 degrees
D.
90 degrees
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Solution
The critical angle for water to air is approximately 48.6 degrees. Therefore, the minimum angle of incidence is 60 degrees.
Correct Answer: C — 60 degrees
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between the primary and secondary voltages?
A.
V_primary = V_secondary
B.
V_primary < V_secondary
C.
V_primary > V_secondary
D.
V_primary = 2 * V_secondary
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Solution
In a transformer, the voltage ratio is directly proportional to the turns ratio. Therefore, if the secondary coil has more turns, the secondary voltage will be greater than the primary voltage.
Correct Answer: B — V_primary < V_secondary
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 200 turns, what is the relationship between primary and secondary voltages?
A.
Vp/Vs = 1/2
B.
Vp/Vs = 2
C.
Vp/Vs = 1
D.
Vp/Vs = 2/1
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Solution
The voltage ratio in a transformer is given by Vp/Vs = Np/Ns, so Vp/Vs = 100/200 = 1/2, hence Vs = 2Vp.
Correct Answer: B — Vp/Vs = 2
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary voltage (Vp) and the secondary voltage (Vs)?
A.
Vp = Vs
B.
Vp = 2Vs
C.
Vs = 2Vp
D.
Vp = 0.5Vs
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Solution
The voltage ratio in a transformer is given by the turns ratio: Vp/Vs = Np/Ns. Here, Vp = 2Vs.
Correct Answer: B — Vp = 2Vs
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Q. In a transformer, if the primary coil has 100 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
A.
V1/V2 = 2
B.
V1/V2 = 0.5
C.
V1/V2 = 1
D.
V1/V2 = 4
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Solution
The voltage ratio in a transformer is equal to the turns ratio: V1/V2 = N1/N2. Here, V1/V2 = 100/50 = 2.
Correct Answer: A — V1/V2 = 2
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Q. In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the turns ratio?
A.
4:1
B.
1:4
C.
2:1
D.
1:2
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Solution
Turns ratio = Np/Ns = 200/50 = 4:1.
Correct Answer: B — 1:4
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Q. In a transformer, if the primary coil has 200 turns and the secondary coil has 50 turns, what is the relationship between the primary and secondary voltages?
A.
Vp/Vs = 4
B.
Vp/Vs = 0.25
C.
Vp/Vs = 2
D.
Vp/Vs = 1
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Solution
The voltage ratio in a transformer is inversely proportional to the turns ratio: Vp/Vs = Np/Ns = 200/50 = 4.
Correct Answer: A — Vp/Vs = 4
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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 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 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 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 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 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 viscometer, what does the time taken for a fluid to flow through a capillary tube indicate?
A.
Density of the fluid
B.
Viscosity of the fluid
C.
Temperature of the fluid
D.
Pressure of the fluid
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Solution
The time taken for a fluid to flow through a capillary tube is directly related to its viscosity.
Correct Answer: B — Viscosity of the fluid
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Q. In a wave equation y(x, t) = A sin(kx - ωt), what does 'A' represent?
A.
Wavelength
B.
Frequency
C.
Amplitude
D.
Wave number
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Solution
'A' represents the amplitude of the wave, which is the maximum displacement from the equilibrium position.
Correct Answer: C — Amplitude
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