Lateral Displacement

Q.

What do you understand by the term lateral displacement?

Q. In a single slit diffraction experiment, first minimum for red light $\left(660\text{nm}\right)$ coincides with first maximum of some other light of wavelength $\lambda$. The value of $\lambda$ in $\text{nm}$ is

1. $470\text{nm}$
2. $540\text{nm}$
3. $510\text{nm}$
4. $440\text{nm}$

Q.

In a Young’s double slit experiment, the fringes are displaced by a distance x when a glass plate of refractive index $1.5$ is introduced in the path of one of the beams. When this plate is replaced by another plate of the same thickness, the shift of fringes is $3x/2$. The refractive index of the second plate is

1. $1.75$
2. $1.25$
3. $1.50$
4. $1.00$

Q.

A diverging beam of light from a point source S having divergence angle a, falls symmetrically on a glass slab as shown. The angles of incidence of the two extreme rays are equal. If the thickness of the glass slab is t and the refractive index n, then the divergence angle of the emergent beam is

1. Zero

2. a

3. 

4. 

Q. A beam of light is converging towards a point I on a screen. A plane glass plate whose thickness in the direction of the beam = t, refractive index =$\mu$ , is introduced in the path of the beam. The convergence point is shifted by

1. $t(1-\frac{1}{\mu })$ away
2. $t(1+\frac{1}{\mu })$ away
3. $t(1-\frac{1}{\mu })$ nearer
4. $t(1+\frac{1}{\mu })$ nearer

Q. In a single slit diffraction experiment, first minimum for red light $\left(660\text{nm}\right)$ coincides with first maximum of some other light of wavelength $\lambda$. The value of $\lambda$ in $\text{nm}$ is

1. $540\text{nm}$
2. $510\text{nm}$
3. $470\text{nm}$
4. $440\text{nm}$

Q. A slab of glass of thickness of $3$ units and refractive index $\sqrt{3}$ is surrounded by vacuum and is placed as shown. A light ray is incident at the point $(2,5\sqrt{3})$ as shown. The point where the ray will cut the $X-$ axis is:

1. $(6,0)$
2. $(5+\sqrt{3},0)$
3. $(9,0)$
4. $(8,0)$

Q.

A point object O is placed in front of a transparent slab at a distance x from its closer surface. It is seen from the other side of the slab by light incident nearly normally to the slab. The thickness of the slab is t and its refractive index is $\mu .$ The apparent shift in the position of the object is

1. $t(1+\frac{t}{\mu })$

2. $t(1-\frac{t}{\mu })$

3. $t(2-\frac{t}{\mu })$

4. $t(2+\frac{t}{\mu })$