Optics Answers

Plz help solve this question :-

A plano-convex lens of radius 1.0 m is placed on an optically flat glass plate and is
illuminated by an extended monochromatic source. Assume that the point of contact
is perfect. The diameters of the 15th and 5th dark rings in the reflected light are
.5 90 10 m
−3
× and .3 36 10 m. −3
× Next, the space between the lens and the glass
plate is filled with a liquid. The diameter of the 5th ring changes to 0.3 10 m. −3
×
Calculate the refractive index of the liquid when the ring is (i) dark, and (ii) bright,
if the wavelength of light is 589 nm.

In a youngs slit with a grating if 1 micrometer is used to investigate the specteum a stong yellow line is observed in the first order spectrum at an angle of 36 calculate the wavelength

A parallel plate capacitor is charged with 100v. It plate separation is 2mm and the area of each plate is 10cm². Calculate an account for the increase/decrease in the steed energy when the plate separation is reduced to 1mm

A double slit interference pattern is produced by a parallel beam of light passing through two slits of unequal widths 20 λ and 40 λ, respectively, where λ is the wavelength of the light used. The distance between the centres of the slits is 1,000 λ. If the fringes are observed on a screen far off from the slits (D >> 1,000 λ), calculate the separation of two adjacent maxima.

A real image of transverse magnification n is formed by a concave mirror of focal length l show that the object is placed at a distance of (n+1)f/n from the mirror

A particle moving at 30 ms-1 west has a momentum of 1598kg.ms-1 west, calculate the mass of the particle

For a step index fiber with core of refractive index 1.54 and cladding
refractive index 1.50 calculate the following when fiber is kept in water:
fractional refractive index, numerical aperture, acceptance angle and
number of modes The diameter of fiber is 15mm, it is operated at a
wavelength of 1.5 mm and its length is 10 Km.

a 0.3kg is attached to spring and oscillates at 2 hz with q of 60 find spring constant and damping constant

While outside watching the projection of the eclipse with their very nice pinhole projector, the students noticed images of the eclipse on the ground under the tree nearby The images were not only larger than their pinhole projection, but there were many images of the sun to see all at once.
One student took out a ruler and measured the image of the sun on the ground to have a diameter of 6 cm. Approximately how tall was the tree? Enter your answer in meters.

A group of students wanted to watch the solar eclipse, but were unable to get eclipse glasses. They decided to build a pinhole projector out of a cardboard box. They would like the image of the sun to be at least 2 cm in diameter. If the pinhole is on one end of the box, and the screen on the other, how long should the box be? Enter the answer in meters.