Two superposing waves are represented by the following equations: 
\(y_1=5 \sin 2 \pi(10{t}-0.1 {x}), {y}_2=10 \sin 2 \pi(10{t}-0.1 {x}).\)
Ratio of intensities \(\frac{I_{max}}{I_{min}}\) will be:
1. \(1\)
2. \(9\)
3. \(4\)
4. \(16\)

In Young's double-slit experiment the light emitted from the source has \(\lambda = 6.5\times 10^{-7}~\text{m}\) and the distance between the two slits is \(1\) mm. The distance between the screen and slits is \(1\) metre. Distance between third dark and fifth bright fringe will be:
1. \(3.2\) mm 
2. \(1.63\) mm
3. \(0.585\) mm
4. \(2.31\) mm

In Young's double-slit experiment, the slit separation is doubled. This results in:

Two polaroids are kept crossed to each other. Now one of them is rotated through an angle of $\mathrm{}$\(45^{\circ}\). The percentage of incident light now transmitted through the system is:
1. \(15\%\)
2. \(25\%\)
3. \(50\%\)
4. \(60\%\)

Light travels faster in the air than in glass. This is in accordance with:

The distance of the moon from the earth is $3.8\times {10}^5 km$. The eye is most sensitive to light of wavelength 5500 Å. The minimum separation between two points on the moon that can be resolved by a 500 cm telescope will be:

1. 51 m                         

2. 60 m

3. 70 m                         

4. All the above

The ratio of resolving powers of an optical microscope for two wavelengths ${\lambda }_1=4000 \stackrel{o}{A } and {\lambda }_2=6000 \stackrel{o}{A}$ is:

1. 8:27

2. 9:4

3. 3:2

4. 16:81

A beam of light \(AO\) is incident on a glass slab \((\mu= 1.54)\) in a direction as shown in the figure. The reflected ray \(OB\) is passed through a Nicol prism. On viewing through a Nicole prism, we find on rotating the prism that: