Q31. Match List - I with List - II
List-I
(A)
Rod rotated with
angular velocity w
(B)
Coil is rotate

Q: What is the correct answer for CUET UG Physics Q31?

The correct answer is C. Let's match the items from List-I with their corresponding induced EMF expressions or characteristics in List-II: * **(A) Rod rotated with angular velocity ω:** The motional EMF induced across a conducting rod of length 'l' rotating with angular velocity 'ω' about one end in a uniform magnetic field 'B' (perpendicular to the plane of rotation) is given by e = Bωl²/2. So, (A) matches (IV). * **

Q: Q31. Match List - I with List - II List-I (A) Rod rotated with angular velocity w (B) Coil is rotated with angular velocity in a uniform magnetic field. (C) Rod is moved with linear velocity v…

The correct answer is C. Let's match the items from List-I with their corresponding induced EMF expressions or characteristics in List-II: * **(A) Rod rotated with angular velocity ω:** The motional EMF induced across a conducting rod of length 'l' rotating with angular velocity 'ω' about one end in a uniform magnetic field 'B' (perpendicular to the plane of rotation) is given by e = Bωl²/2. So, (A) matches (IV). * **

Q: What are the options for this CUET UG Physics question?

A. (A)-(IV), (B)-(I), (C)-(III), (D)-(II) · B. (A)-(I), (B)-(II), (C)-(III), (D)-(IV) · C. (A)-(IV), (B)-(I), (C)-(II), (D)-(III) · D. (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

Question

Q31. Match List - I with List - II
List-I
(A)
Rod rotated with
angular velocity w
(B)
Coil is rotated with
angular velocity in a
uniform magnetic
field.
(C)
Rod is moved with
linear velocity v in
uniform magnetic
field
(D)
When a rectangular
coil is moved in a
magnetic field
induced emf is
List-II
(1)
e = e sin wt
(II) E = Β/v
(III) Constant
(IV)
Βωl2
e=
2
Choose the correct answer from the options given
below:
(a) (A)-(IV), (B)-(I), (C)-(III), (D)-(II)
(b) (A)-(I), (B)-(II), (C)-(III), (D)-(IV)
(c) (A)-(IV), (B)-(I), (C)-(II), (D)-(III)
(d) (A)-(IV), (B)-(III), (C)-(II), (D)-(I)

FirstInTest · Accepted Answer

Let's match the items from List-I with their corresponding induced EMF expressions or characteristics in List-II:
*   **(A) Rod rotated with angular velocity ω:** The motional EMF induced across a conducting rod of length 'l' rotating with angular velocity 'ω' about one end in a uniform magnetic field 'B' (perpendicular to the plane of rotation) is given by e = Bωl²/2. So, (A) matches (IV).
*   **(B) Coil is rotated with angular velocity in a uniform magnetic field:** When a coil with N turns and area A is rotated with angular velocity 'ω' in a uniform magnetic field 'B', the magnetic flux linking the coil changes sinusoidally. This induces an EMF given by e = NABω sin(ωt), which can be written as e = E₀ sin(ωt), where E₀ = NABω is the peak EMF. So, (B) matches (I).
*   **(C) Rod is moved with linear velocity v in uniform magnetic field:** The motional EMF induced across a straight conductor of length 'l' moving with linear velocity 'v' perpendicular to a uniform magnetic field 'B' is given by e = Blv. So, (C) matches (II).
*   **(D) When a rectangular coil is moved in a magnetic field induced emf is:** If a rectangular coil moves through a uniform magnetic field at a constant velocity, and if the flux linkage changes at a constant rate (e.g., entering or leaving the field at a constant speed, or moving in a non-uniform field such that dΦ/dt is constant), a constant induced EMF can be produced. Therefore, 'Constant' (III) is the most appropriate match in this context. 
Combining these matches, we get (A)-(IV), (B)-(I), (C)-(II), (D)-(III). This corresponds to option (c).

Answer

(A)-(IV), (B)-(I), (C)-(III), (D)-(II)

Answer

(A)-(I), (B)-(II), (C)-(III), (D)-(IV)

Answer

(A)-(IV), (B)-(I), (C)-(II), (D)-(III)

Answer

(A)-(IV), (B)-(III), (C)-(II), (D)-(I)

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