$$ \text { Match the LIST-I with LIST-II } $$
| List-I | List-II | ||
| A. | Magnetic induction | I. | |
| B. | Magnetic flux | II. | |
| C. | Magnetic permeability | III. | |
| D. | Self inductance | IV. | |
Choose the correct answer from the options given below:
A circular loop of radius 7 cm is placed in uniform magnetic field of 0.2 T directed perpendicular to plane of loop. The loop is converted into a square loop in 0.5 s . The EMF induced in the loop is $\_\_\_\_$ mV.
Suppose a long solenoid of 100 cm length, radius 2 cm having 500 turns per unit length, carries a current $I=10 \sin (\omega \mathrm{t}) \mathrm{A}$, where $\omega=1000 \mathrm{rad} . / \mathrm{s}$. A circular conducting loop $(B)$ of radius 1 cm coaxially slided through the solenoid at a speed $v=1 \mathrm{~cm} / \mathrm{s}$. The r.m.s. current through the loop when the coil $B$ is inserted 10 cm inside the solenoid is $${\alpha \over {\sqrt 2 }}\mu A$$. The value of $\alpha$ is $\_\_\_\_$ .
[Resistance of the loop $=10 \Omega$ ]
A 20 m long uniform copper wire held horizontally is allowed to fall under the gravity $\left(g=10 \mathrm{~m} / \mathrm{s}^2\right)$ through a uniform horizontal magnetic field of 0.5 Gauss perpendicular to the length of the wire. The induced EMF across the wire when it travells a vertical distance of 200 m is $\_\_\_\_$ mV .
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