A parallel narrow beam of light traveling through the water in a container incident on an air bubble of radius 8 mm. What will be the distance of the image obtained due to the refraction of the beam on the first face of the air bubble from the centre of the bubble? [${\mu }_{water}=\frac{4}{3}$]

Two slabs P & Q of transparent materials have a thickness in ratio 2:5. If a ray of light take same time to move from A to B and B to C then refractive index of Q with respect to P will be:

A ray of light strikes on a glass sphere at point A. If A is midway between P and Q, then the deviation of the ray as it emerges out of the sphere will be

If $C_1, C_2 and C_3$ are the critical angle of glass-air interface for red, violet and yellow color, then:

A thin lens of focal length 10 cm is cut into two equal halves and is kept as shown in the figure. If an object O is placed at a distance 10 cm from the optical centre of combination, then the distance of the image from the object will be

A concave and convex lens has the same focal length of 20 cm and are put into contact to form a lens combination. The combination is used to view an object of 5 cm length kept at 20 cm from the lens combination. As compared to the object, the image will be

What should be the angle between two plane mirror, if an object placed symmetrically between them has five images?

The maximum magnification which can be obtained with the help of a simple microscope is 6. If a point object is placed at distance 3 cm from the microscope, then what was be the position of the image?

A converging spherical wavefront is obtained from

A concave lens of glass of refractive index 1.5 has both surfaces of the same radius of curvature R. On immersion in a medium of refractive index 1.75, it will have as a

A ray is incident normally on a right-angled prism whose R.I is $\sqrt{3}$ and prism angle $\mathrm{A}=30°$. Deviation to the ray is equal to

A convex lens forms the image of the point object O on the screen. If a glass slab of thickness 3 cm and refractive index 1.5 is put as shown below, then to have the image of the object on the screen the object should be shifted

Two convex lenses of focal lengths $f_1 and f_2$ are separated co-axially by a distance d. The power of the combination will be zero if d equals to

In the following diagram what is the distance x if the radius of curvature R=15 cm?

A thin equiconvex lens of power P is cut into three parts A, B, and C as shown in the figure. If $P_1, P_2 \mathrm{and} P_3$ are powers of the three parts respectively, then 

In the diagram shown below, the image of the point object O is formed at l by the convex lens of focal length 20 cm, where $F_1 and F_2$ are foci of the lens. The value of x' is

An astronomical telescope has an angular magnification of 40 in normal adjustment. If the focal length of the eyepiece is 5 cm, the length of the telescope is:

The angle of a distant object formed at the objective of a telescope is 2 minutes. If the focal length of objective and eyepiece of the telescope is 200 cm and 20 cm, then the size of the image formed by the objective is approximately

The focal length of a convex lens is 40 cm and the size of the inverted image formed is half of the object. The object distance is

The condition of minimum deviation is achieved in an equilateral prism kept on the prism table of a spectrometer. If the angle of incidence is 50$°$, the angle of deviation is:

A small air bubble is at the centre of a glass sphere of radius 10 cm and refractive index 1.5. The distance of the bubble from the surface, when viewed from outside the sphere, is

Focal lengths of objective and eyepiece of a compound microscope are 2 cm and 6.25 cm respectively. An object AB is placed at a distance of 2.5 cm from the objective which forms the image A'B' as shown in the figure. Maximum magnifying power in this case is

The refractive index of the material of prism is $\sqrt{2}$. The angle of prism A is equal to

An object is placed 20 cm in front of a concave mirror of a radius of curvature of 10 cm. The position of the image from the pole of the mirror is:

A plane mirror is moving with velocity $4\hat{i}+5\hat{j}+8\hat{k}$. A point object in front of the mirror moves with a velocity  $3\widehat{i }+4\hat{j}+5\hat{k},$ here $\hat{k}$ is along the normal to the plane mirror and facing towards the object. The velocity of the image is

A candle is held 3 cm away from a concave mirror of focal length 12 cm, then the nature of the image formed by the mirror is

A plane mirror is placed at x = 0 along the y-axis and an object starts moving with velocity $\left(2\hat{i}+2\hat{j}\right)$ m/s from x = 3. Relative velocity of the image in the mirror with respect to the object is:

The angle of minimum deviation for a glass prism of refractive index $\mu = \sqrt{3}$ equals the refracting angle of the prism. The angle of the prism is

What is the focal length of a convex lens of focal length 30 cm in contact with a concave lens of focal length 20 cm?

A diverging lens of focal length 20n cm and a converging mirror of focal length 10 cm are placed 5 cm apart coaxially. Where should an object be placed so that object and its real image coincide?