Question 1 :
A ray of light is normally incident on one face of an equilateral glass prism. What is the angle of refraction from the first face of the prism ?

Question 2 :
The beautiful natural phenomenon of the rainbow is acombination of which of the following different phenomena ?

Question 3 :
A symmetric double convex lens is cut in two equal parts by a plane perpendicular to the principal axis. If the power of the original lens is $4 D$, the power of cut lens will be ________.

Question 4 :
An object 20 cm from lens, has a virtual image at 10 cm from the object. The power of the lens is

Question 6 :
The refractive indices of glass and quartz w.r.t. air are 3/2 and 12/5 respectively. The refractive index of quartz w.r.t. glass is:

Question 7 :
The power of a double convex lens of radius of curvature $R$ each is $Y$. The power of a plano convex lens of same material and of radius of curvature $2R $ is

Question 8 :
It is given that $_{a}\mu&#160;_{g} =$ <br> $\dfrac{3}{2}$ and $_{a}\mu&#160;_{w} =$ <br> $\dfrac{4}{3}$. An equi-convex&#160;lens with radius of each surface equal to $20 cm$ is placed in the water. Then its focal length is&#160;<br/>

Question 9 :
A ray of light is incident on the hypotenuse of a right-angled prism after travelling parallel to the base inside the prism. If $\mu $ is the refractive index of the material of the prism, the maximum value of the base angle for which light is totally reflected from the hypotenuse is :<br/>

Question 10 :
A beam of light consisting of red, green, and blue colors is incident on a right-angled prism. The refractive indices of the material of the prism for the above red, green, and blue wavelengths are 1.39, 1.44, and 1.47, respectively. The prism will<br>

Question 11 :
A short linear object of length $L$ lies on the axis of a spherical mirror of focal length $f$ at a distance $u$ from the mirror. Its image has an axial length $L$ equal to :

Question 12 :
A lens has a convex surface one side and a concave&#160;surface another side. If the radius of curvature of&#160;convex and concave are equal to $R$ each and&#160;$\mu&#160;$ is&#160;refractive index of lens then its focal length is:

Question 13 :
Monochromatic light is refractive from air into the glass of refractive index $\mu$. The ratio of the wavelength of incident and refracted waves is

Question 14 :
A double convex lens of glass ($\mu =$1.5)&#160;is immersed in water($\mu =$4/3). &#160;If the focal length in air is $F$, focal length in water is&#160;<br/>

Question 15 :
A plane mirror and concave mirror are $50\ cm$ apart. An object is $30\ cm$ from a concave mirror such that image of the two coincide. The focal length of the concave mirror is <br/>

Question 16 :
A ray of light moving along the unit vector $\dfrac{1}{\sqrt5}(\hat { -i&#160; } -2\hat { j } )$ undergoes refraction at an interface of two media, which is the x-z plane. The refractive index for y &gt; 0 is 2 while for y &lt; 0, it is $\sqrt{5}$/2. The unit vector along which the refracted ray moves is

Question 17 :
A convex lens of focal length 50 cm, a concave lens of focal length 50 cm and another concave lens of focal lens 20 cm are placed in contact. The power of this combination in dioptres will be:

Question 18 :
Assertion: The focal length of a lens does not depend on the medium in which it is submerged. Reason: $\dfrac {1}{f}=\dfrac {\mu_2-\mu_1}{\mu_1}\left (\dfrac {1}{R_1}-\dfrac {1}{R_2}\right )$

Question 19 :
A beam of red light ($7000$ A.U. in air) in passing from air into a medium making an angle of incidence of $61^o$ and angle of refraction of $34^o$. find the wavelength of red light in the medium.

Question 20 :
A thin plano - convex lens fits exactly into a thin plano - concave lens. Their plane surfaces are parallel to each other. If the lenses are made of different materials of refractive indices $\mu _{1}$ and $\mu _{2}$ and R is the radius of curvature of the curved surfaces of the lenses, then the focal length of the combination is :<br/>

Question 21 :
The reflecting surface is given by $y = \dfrac{10L}{\pi} \sin \dfrac{\pi x}{5L}$. The co-ordinates of the point where a horizontal ray becomes vertical after reflection is:

Question 22 :
A cubical room is formed with $6$ plane mirror. An insect moves along diagonal of the floor with uniform speed. The velocity of its image in two adjacent walls are $20\sqrt 2 $ cm/s. Then the velocity of image formed by the roof is ;

Question 23 :
The focal lengths of the objective and the eyepiece of a compound microscope are $2.0\ cm$ and $3.0\ cm$, respectively. The distance between the objective and the eyepiece is $15.0\ cm$. The final image formed by the eyepiece is at infinity. The two lenses are thin. The distance, in $cm$, of the object and the image produced by the objective, measure from the objective lens, are respectively.