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You are given two converging lenses of focal length 1.25 cm and 5 cm to design a compound microscope. If it is desired to have a magnification of 30, then find out the separation between the objective and
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A small telescope has an objective lens of focal length 150 cm and eyepiece of focal length 5 cm. What is the magnifying power of the telescope for viewing distance objects in normal adjustments. If this telescope is used to view a 100 m tall tower 3 km away, then what is the height of the tower formed by the objective
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Use the mirror equation to show that on object placed between F and 2F of a concave mirror produces a real image beyond 2
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Two monochromatic rays of light are incident normally on the face AB of an isosceles right-angled prism AB C. The refractive indices of the glass prism for the two rays 1 and 2 are respectively 1.35 and 1.45. Trace the path of these rays after entering through the prism.
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A ray of light falls on a transparent sphere with centre C as shown in the figure. The ray emerges from the sphere parallel to the line AB. Find the angle of refraction of A if the refractive index of material of sphere is
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Figure shows a ray of light passing through a prism. If the refracted ray QR is parallel to the base BC, show that (i) `r_1= r_2 = A/2` and (ii) Angle of minimum decoration, `D_m = 2i —
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Write the conditions for observing a rainbow. Show by drawing suitable diagram how one understands the formation of a
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A ray PQ is incident normally on the face AB of a triangular prism of refracting angle of 60° made of a transparent material of refractive index `2/sqrt3` as shown in the figure. Trace the path of the ray as it passes through the prism. Also, calculate the angle of emergence and angle of deviation.
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A convex lens of focal length `f_1` is kept in contact with a concave lens of focal length `f_2`. Find the focal length of the
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When monochromatic light travels from a rarer to a denser medium, explain the following giving reasons. (i) Is the freguency of reflected and refracted light same as the frequency of incident light?(ii) Does the decrease in speed imply a reduction in the energy carried by light
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(i) Write the necessary conditions for the phenomenon of total internal reflection to occur. (ii) Write the relation between the refractive index and critical angle for a given pair of optical
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Trace the path of a ray of light passing through a glass prism ABC as shown in the figure. If the refractive index of glass is `sqrt3`, then find out the value of the angle of emergence from the
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A ray of light incident on an equilateral glass prism `(mu_g =sqrt3)` moves parallel to the base line of the prism inside it. Find the angle of incidence for this
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An object AB is kept in front of a concave mirror as shown in the figure.(i) Complete the ray diagram showing the image formation of the object. (ii) How will the position and intensity of the image be affected if the lower half of the mirror's reflecting surface is painted
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Draw a ray diagram to show the image formation by a concave mirror. When the object is kept between its forms and the pole. Using this diagram, derive the magnification formula for the image
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A beam of light converges at a point P. A concave lens of focal length 16 cm is placed in the path of this beam 12 cm from P. Draw a ray diagram and find the location of the point at which the beam would now
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Draw a diagram showing the formation of primary rainbow and explain at what angles the primary rainbow is
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The radii of curvature of the faces of a double convex lens are 10 cm and 15 cm. If focal length of the lens is 12 cm, find the refractive index of the material of the
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(i) The bluish colour predominates in clear sky. (ii) Violet colour is seen at the bottom of the spectrum when , white light is dispersed by a prism. State reasons to explain these
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A biconvex lens has a focal length 2/3 times the radius of curvature of either surface. Calculate the refractive index of lens
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