# Electromagnetic Induction - Class 12 - Physics

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## Extra Questions - Electromagnetic Induction | NCERT | Physics | Class 12

A particle moves in a circular path of radius 40 cm as shown. Find the angular velocity of the particle with respect to an axis passing through the centre of the circle and perpendicular to the plane of the circle.

A) $15 \text{ rad/s}$

B) $12 \text{ rad/s}$

C) $16 \text{ rad/s}$

D) $14 \text{ rad/s}$

The correct answer is **B) $12 , \text{rad/s}$**.

We utilize the relationship between linear speed and angular velocity, given by: $$ \omega = \frac{v_{\text{perpendicular}}}{r} $$

From the information provided, the linear speed $v_A$ is **4.8 m/s**, and since the particle is moving in a circle, this is the perpendicular speed.

The radius of the circle is given as 40 cm, which needs to be converted to meters: $$ r = 40 , \text{cm} = \frac{40}{100} , \text{m} = 0.4 , \text{m} $$

Now, substituting these values into the formula for angular velocity: $$ \omega = \frac{4.8}{0.4} = 12 , \text{rad/s} $$

Thus, **option B** is the correct answer.

On a cylindrical rod, two coils are wound one over the other. If the inductance of each coil is 0.1 H, the mutual inductance of the pair of coils is:

A) 0.01 H

B) 0.1 H

C) 1 mH

D) 1 ยตH

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