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qUESTIONS

What is the minimum distance between two objects which can be resolved by a microscope having the visual angle of 30° when light of wavelength 500 nm is used ?

A telescope has an objective of diameter 2.5 m. What is its angular resolution when it observes at 5500Å ?

What must be the thickness of a thin film which, when kept near one of the slits shifts the central fringe by 5 mm for incident light of wavelength 5400 Å in Young’s double-slit interference experiment ? The refractive index of the material of the film is 1.1 and the distance between the slits is 0.5 mm.

In a double-slit arrangement the slits are separated by a distance equal to 100 times the wavelength of the light passing through the slits. (a) What is the angular separation in radians between the central maximum and an adjacent maximum? (b) What is the distance between these maxima on a screen 50.0 cm from the slits?

A double-slit arrangement produces interference fringes for sodium light (λ = 589 nm) that are 0.20° apart. What is the angular fringe separation if the entire arrangement is immersed in water (n=1.33)?

The Optical Path of a ray of light of a given wavelength travelling a distance of 3 cm in flint glass having refractive index 1.6 is same as that on travelling a distance x cm through a medium having refractive index 1.25. Determine the value of x.

White light consists of wavelengths from 400 nm to 700 nm. What will be the wavelength range seen , When white light is passed through glass of refractive index 1.55 ?

In a Young’s double slit experiment, the difference in optical path lengths between the rays starting from the two slits S₁ and S₂ and reaching a point a on the screen is 0.0075 mm and reaching another point B on the screen on the other side of the central fringe is 0.0015 mm. How many bright and dark fringes are observed between A and B if the wavelength of light used is 6000Å ?

A plane wavefront of light of wavelength 5500 Å is incident on two slits in a screen perpendicular to the direction of light rays. If the total separation of 10 bright fringes on a screen 2 m away is 2cm, find the distance between the slits.

A violin string vibrates with fundamental frequency of 440Hz. What are the frequencies of first and second overtones?

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