Q: The critical angle for total internal reflection is given by:

$$\$$\sin \theta_c = \frac{$$n_2$$}{$$n_1$$}\$$, where n_1$ \u003e n_2$

Q: The Rayleigh criterion for resolving two sources is given by:

$$\$$\theta_{min} = \frac{\lambda}{a}\$$, where a$ is the aperture

Question 1

A metal rod of length $$L$$ moves with velocity $$v$$ perpendicular to a uniform magnetic field $$B. $$What is the induced electromotive force (EMF) across the ends of the rod?

Accepted Answer

$$\$$\varepsilon = vBL\$

Question 2

A square loop of side $$L is $$moved at constant velocity $$v$$ into a region with uniform magnetic field $$B$$ perpendicular to the loop. What is the change in magnetic flux through the loop from start to finish?

Accepted Answer

$$\$$\Delta \Phi_B = $$BL^2$$\$

Question 3

According to Lenz's Law, the direction of the induced current in a loop entering a magnetic field is:

Accepted Answer

Such that it opposes the change in magnetic flux

Question 4

A loop of wire with resistance $$R is $$moved into a magnetic field at speed $$v. $$The induced current is:

Accepted Answer

$$\I$$ = \frac{vBL}{R}\$

Question 5

Once a loop is fully immersed in a constant magnetic field and held stationary, what happens to the induced current?

Accepted Answer

It decreases to zero

Question 6

Which variable(s) can change magnetic flux through a loop?

Accepted Answer

Magnetic field strength, area, and angle between field and area vector

Question 7

A generator produces alternating current (AC) by:

Accepted Answer

Rotating wire loops in a magnetic field

Question 8

The equation for constructive interference in a double-slit experiment is:

Accepted Answer

$$\r_2$ - r_1$ = m\lambda\$$, \$$m = 0, 1, 2, ...\$

Question 9

In the double-slit experiment, what happens to the interference pattern if the wavelength of light is increased?

Accepted Answer

The bright spots move further apart

Question 10

The critical angle for total internal reflection is given by:

Accepted Answer

$$\$$\sin 	heta_c = \frac{$$n_2$$}{$$n_1$$}\$$, where n_1$ \u003e n_2$

Question 11

A concave mirror forms an image of an object placed further than its focal point. The image is:

Accepted Answer

Real and inverted

Question 12

The mirror equation relates object distance $$s$$, image distance $$s'$$, and focal length $$f as$$:

Accepted Answer

$$\$$\frac{1}{s} + \frac{1}{s'} = \frac{1}{f}\$

Question 13

A thin lens forms an image of an object placed at $$s = 2f ($$twice the focal length). What is the magnification?

Accepted Answer

$$\M = 1$$\$

Question 14

In a multi-slit interference experiment, increasing the number of slits $$N$$ results in:

Accepted Answer

Sharper and more defined maxima

Question 15

The Rayleigh criterion for resolving two sources is given by:

Accepted Answer

$$\$$	heta_{min} = \frac{\lambda}{a}\$$, where a$ is the aperture

Question 16

For thin film interference, constructive interference occurs when:

Accepted Answer

$$\2nd = m$$\lambda\$$, m = 0$$, 1, 2, ...$

Question 17

A photon has energy $$E$$ given by:

Accepted Answer

$$\E = hf$$\$

Question 18

The speed of light $$c is $$related to wavelength $$\lambda$$ and frequency $$f by$$:

Accepted Answer

$$\c = f$$\lambda\$

Question 19

Destructive interference in a single-slit diffraction occurs when:

Accepted Answer

$$\a$$ \sin 	heta = m\lambda\$$, m$$ = \pm 1, \pm 2, ...$

Electromagnetic Induction, Wave Optics, and Interference Patterns

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