Magnetism

Section: Physics
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Question : 7 of 46
 
Marks: +1, -0
A small circular loop of area A and resistance R is fixed on a horizontal xy-plane with the center of the loop always on the axis
∧
n
of a long solenoid. The solenoid has m turns per unit length and carries current I counterclockwiseas shown in the figure. The magnetic field due to the solenoid is in
∧
n
direction. List-I gives time dependences of
∧
n
in terms of a constant angular frequency ω. List-II gives the torques experienced by the circular loop at time t=‌
Ï€
6ω
, Let α=‌
A2µ02m2I2ω
2R
.
List-I List-II
(I) ‌
1
√2
(sin‌ω‌t‌
∧
j
+cos‌ω‌t‌
∧
k
)
(P) 0
(II) ‌
1
√2
(sin‌ω‌t‌
∧
i
+cos‌ω‌t‌
∧
j
)
(Q) −‌
α
4
∧
i
(III) ‌
1
√2
(sin‌ω‌t‌
∧
i
+cos‌ω‌t‌
∧
k
)
(R) ‌
3α
4
∧
i
(IV) ‌
1
√2
(cos‌ω‌t‌
∧
i
+sin‌ω‌t‌
∧
k
)
(S) ‌
α
4
∧
j
(T) −‌
3α
4
∧
i
Which one of the following options is correct?
[JEE Adv 2022 P1]
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