Extended Object Image Formation

Q.

One end of a horizontal cylindrical glass rod $(\mu =1.5)$ of radius 5.0 cm is rounded in the shape of a hemisphere. An object 0.5 mm high is placed perpendicular to the axis of the rod at a distance of 20.0 cm from the rounded edge. Locate the image of the object and find its height.

1. Same height as that of object & erect.

2. Same height as that of object & inverted.

3. Double the height of the object & inverted.

4. Half the height of the object & inverted.

Q.

For the spherical interface shown in the figure, the two different media with refractive indices$n_1=1.4$and $n_2=1.25$are present as shown. The image will be formed at

1. $-\frac{125}{3}cm$

2. $-\frac{50}{6}cm$

3. $-\frac{25}{2}cm$

4. $-20cm$

Q. A jar contains two immiscible liquids A and B with a coin at its bottom. The depths of liquid A and liquid B are $6cm$ and $8cm$ respectively. If the apparent depth of the coin is $9cm$ and refractive index of liquid A is $1.5$, what is the refractive index of liquid B ?

Q.

One end of a horizontal cylindrical glass rod $(\mu =1.5)$ of radius 5.0 cm is rounded in the shape of a hemisphere. An object 0.5 mm high is placed perpendicular to the axis of the rod at a distance of 20.0 cm from the rounded edge. Locate the image of the object and find its height.

1. Same height as that of object & erect.

2. Same height as that of object & inverted.

3. Double the height of the object & inverted.

4. Half the height of the object & inverted.

Q. A cubical block of glass, refractive index $1.5$, has a spherical cavity of radius $r=9cm$ inside it as shown in Fig. A luminous point object $O$ is at a distance of $18cm$ from the cube (see figure). What is the apparent position of $O$ as seen from $A$?

1. $17cm$, left of $S_4$
2. $25cm$, right of $S_4$
3. $13cm$, left of $S_4$
4. $10cm$, left of $S_4$

Q. Consider a transparent hemisphere $(n=2)$ in front of which a small object is placed in air $(n=1)$ as shown.
For which value of $x$, of the following, will the final image of the object at $O$ be virtual?

1. $2R$
2. $R/2$
3. $3R$
4. $1.5R$

Q. The capacitance of a spherical condenser is $1mF$. If the spacing between the two spheres is $1mm$, then the radius of the outer space is

1. $6m$
2. $30cm$
3. $5cm$
4. $3m$

Q. At what angle should a ray of light be incident on one of the face of an equilateral prism, so that the emergent ray may graze the surface of the prism having refractive index $(\mu =2)$ ?

1. ${30}^{\circ }$
2. ${90}^{\circ }$
3. ${60}^{\circ }$
4. ${45}^{\circ }$

Q.

One end of a horizontal cylindrical glass rod $(\mu =1.5)$ of radius 5.0 cm is rounded in the shape of a hemisphere. An object 0.5 mm high is placed perpendicular to the axis of the rod at a distance of 20.0 cm from the rounded edge. Locate the image of the object and find its height.

1. Same height as that of object & erect.

2. Same height as that of object & inverted.

3. Double the height of the object & inverted.

4. Half the height of the object & inverted.

Q. In a Newton's Ring experiment, the diameter of the ${20}^{th}$ dark ring was found to be $5.82mm$ and that the $10th$ ring $3.36mm$. If the radius of the planoconvex lens is $1m$, calculate the wavelength of light used

Q. A candle flame $1.6$ cm high is imaged in a ball bearing of diameter 0.4 cm. If the ball bearing is $20cm$ away from the flame, find the location and the height of the image.

Q. Converging rays are incident on a sphere of radius 10 cm $(\mu =1.4).$. in the absence of sphere the rays would have converged to 40 cm. Find the position of image