Q. What is the magnetic field inside a long solenoid carrying current?
A.
Zero
B.
Uniform and parallel to the axis
C.
Varies with distance
D.
Depends on the current only
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Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel to the axis
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Q. What is the magnetic field inside a long solenoid when it carries a current? (2023)
A.
Zero
B.
Uniform and directed along the axis
C.
Varies with distance
D.
Depends on the temperature
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Solution
The magnetic field inside a long solenoid is uniform and directed along the axis of the solenoid when it carries a current.
Correct Answer: B — Uniform and directed along the axis
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Q. What is the magnetic field inside a long solenoid when the current is flowing through it? (2023)
A.
Zero
B.
Uniform and parallel
C.
Concentric circles
D.
Radial
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Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel
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Q. What is the magnetic field inside a long solenoid when the current is steady? (2023)
A.
Zero
B.
Uniform and parallel to the axis
C.
Varies with distance
D.
Depends on the temperature
Show solution
Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid when the current is steady.
Correct Answer: B — Uniform and parallel to the axis
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Q. What is the magnetic field inside a long solenoid with n turns per unit length carrying a current I?
A.
μ₀nI
B.
μ₀I/n
C.
μ₀I/2n
D.
μ₀I/4n
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Solution
The magnetic field inside a long solenoid is given by B = μ₀nI.
Correct Answer: A — μ₀nI
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Q. What is the magnetic field inside a long solenoid? (2023)
A.
Zero
B.
Uniform and parallel
C.
Concentric circles
D.
Decreasing
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Solution
The magnetic field inside a long solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel
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Q. What is the magnetic field inside a long straight conductor carrying a current I?
A.
0
B.
μ₀I/2πr
C.
μ₀I/4πr
D.
μ₀I/πr
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Solution
Using Ampere's Law, B = μ₀I/2πr for a long straight conductor.
Correct Answer: B — μ₀I/2πr
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Q. What is the magnetic field inside a long straight conductor carrying current I?
A.
0
B.
μ₀I/2πr
C.
μ₀I/4πr
D.
μ₀I/πr
Show solution
Solution
Using Ampere's Law, B = μ₀I/2πr for a long straight conductor.
Correct Answer: B — μ₀I/2πr
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Q. What is the magnetic field inside a long, ideal solenoid carrying current I?
A.
Zero
B.
μ₀I
C.
μ₀I/n
D.
μ₀nI
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Solution
The magnetic field inside a long, ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer: D — μ₀nI
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Q. What is the magnetic field inside a long, ideal solenoid carrying current?
A.
Zero
B.
Uniform and parallel
C.
Concentric circles
D.
Decreasing
Show solution
Solution
The magnetic field inside a long, ideal solenoid is uniform and parallel to the axis of the solenoid.
Correct Answer: B — Uniform and parallel
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Q. What is the magnetic field inside a long, ideal solenoid with n turns per unit length carrying a current I?
A.
B = μ₀nI
B.
B = μ₀I/n
C.
B = nI/μ₀
D.
B = μ₀I
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Solution
The magnetic field inside an ideal solenoid is given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer: A — B = μ₀nI
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Q. What is the magnetic field inside a long, ideal solenoid?
A.
Zero
B.
Uniform and parallel
C.
Concentric circles
D.
Diverging lines
Show solution
Solution
The magnetic field inside a long, ideal solenoid is uniform and parallel.
Correct Answer: B — Uniform and parallel
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Q. What is the magnetic field inside a long, straight solenoid carrying current I?
A.
0
B.
μ₀I
C.
μ₀nI
D.
μ₀nI/2
Show solution
Solution
The magnetic field inside a long, straight solenoid is given by B = μ₀nI, where n is the number of turns per unit length and μ₀ is the permeability of free space.
Correct Answer: C — μ₀nI
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Q. What is the magnetic field inside a long, straight solenoid carrying current?
A.
Zero
B.
Uniform and parallel to the axis
C.
Varies with distance
D.
Concentric circles
Show solution
Solution
The magnetic field inside a long, straight solenoid is uniform and parallel to the axis of the solenoid, given by B = μ₀nI, where n is the number of turns per unit length.
Correct Answer: B — Uniform and parallel to the axis
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Q. What is the magnetic field inside a solenoid carrying current I with n turns per unit length?
A.
μ₀nI
B.
μ₀I/n
C.
μ₀I
D.
μ₀nI/2
Show solution
Solution
The magnetic field inside a long solenoid is given by B = μ₀nI.
Correct Answer: A — μ₀nI
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Q. What is the magnetic field inside a toroidal solenoid? (2023)
A.
Zero
B.
Uniform and non-zero
C.
Varies with position
D.
Depends on the current only
Show solution
Solution
The magnetic field inside a toroidal solenoid is uniform and non-zero, and it is given by B = (μ₀NI)/(2πr), where N is the number of turns, I is the current, and r is the distance from the center.
Correct Answer: B — Uniform and non-zero
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Q. What is the magnetic field strength at a distance 'r' from a long straight conductor carrying current 'I'? (2020)
A.
μ₀I/2πr
B.
μ₀I/4πr
C.
2μ₀I/πr
D.
μ₀I/πr
Show solution
Solution
The magnetic field strength (B) at a distance 'r' from a long straight conductor is given by the formula B = μ₀I/2πr.
Correct Answer: A — μ₀I/2πr
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Q. What is the magnetic field strength at the center of a circular loop of radius 0.1 m carrying a current of 5 A?
A.
0.1 T
B.
0.2 T
C.
0.5 T
D.
1 T
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Solution
The magnetic field at the center of a circular loop is given by B = (μ₀ * I) / (2 * R). Using μ₀ = 4π x 10^-7 Tm/A, B = (4π x 10^-7 * 5) / (2 * 0.1) = 0.1 T.
Correct Answer: B — 0.2 T
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Q. What is the magnetic field strength at the center of a circular loop of radius 0.1 m carrying a current of 3 A?
A.
0.03 T
B.
0.1 T
C.
0.15 T
D.
0.2 T
Show solution
Solution
The magnetic field (B) at the center of a circular loop is given by B = (μ₀ * I) / (2 * R). Using μ₀ = 4π x 10^-7 Tm/A, B = (4π x 10^-7 * 3) / (2 * 0.1) = 0.1 T.
Correct Answer: B — 0.1 T
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Q. What is the magnetic field strength at the center of a circular loop of radius r carrying a current I?
A.
μ0I/2r
B.
μ0I/r
C.
μ0I/4r
D.
μ0I/πr
Show solution
Solution
The magnetic field at the center of a circular loop is given by B = (μ0I)/(2r).
Correct Answer: B — μ0I/r
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Q. What is the magnetic field strength at the center of a square loop of side a carrying a current I?
A.
(μ₀I)/(2a)
B.
(μ₀I)/(4a)
C.
(μ₀I)/(√2a)
D.
(μ₀I)/(8a)
Show solution
Solution
The magnetic field at the center of a square loop is given by B = (μ₀I)/(√2a).
Correct Answer: C — (μ₀I)/(√2a)
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Q. What is the magnetic moment of a circular loop of radius r carrying a current I? (2021)
A.
πr²I
B.
2πrI
C.
Ir²
D.
πrI
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Solution
The magnetic moment (μ) of a circular loop is given by μ = I × A, where A is the area of the loop. For a circular loop, A = πr², thus μ = I × πr² = πr²I.
Correct Answer: A — πr²I
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Q. What is the magnetic quantum number for a 3d orbital?
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Solution
The magnetic quantum number (m_l) for a 3d orbital can be -2, -1, 0, 1, or 2.
Correct Answer: A — -2
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Q. What is the magnification produced by a concave lens if the object distance is 20 cm and the image distance is -10 cm?
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Solution
Magnification m = -v/u = -(-10)/20 = 0.5.
Correct Answer: A — 0.5
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Q. What is the magnification produced by a concave lens if the object is placed at a distance of 30 cm and the focal length of the lens is 15 cm? (2022)
A.
-0.5
B.
-1
C.
-2
D.
-3
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Solution
Using the lens formula and magnification formula, we find the magnification m = -v/u = -1.
Correct Answer: B — -1
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Q. What is the magnification produced by a concave mirror if the object distance is 10 cm and the image distance is 5 cm? (2019)
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Solution
Magnification (m) = -v/u. Here, v = -5 cm and u = -10 cm, so m = -(-5)/(-10) = 2.
Correct Answer: C — 2
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Q. What is the magnification produced by a concave mirror if the object is placed at a distance of 15 cm and the image is formed at 5 cm?
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Solution
Magnification (m) = -v/u = -(-5)/(-15) = 1/3. Therefore, the magnification is 3.
Correct Answer: C — 3
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Q. What is the magnification produced by a concave mirror when the object is placed at the focus? (2019)
A.
1
B.
0
C.
Infinity
D.
Less than 1
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Solution
When the object is placed at the focus of a concave mirror, the image is formed at infinity, leading to infinite magnification.
Correct Answer: C — Infinity
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Q. What is the magnification produced by a convex lens if the object is placed at twice the focal length?
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Solution
Magnification (m) = v/u. For an object at 2f, the image distance v = 2f, so m = 2f/(2f) = 1.
Correct Answer: A — 1
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Q. What is the magnification produced by a lens if the object distance is 15 cm and the image distance is 45 cm?
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Solution
Magnification (m) = image distance/object distance = 45/15 = 3.
Correct Answer: C — 3
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