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Q1. A cylindrical vessel, whose diameter and height both are equal to 30 cm, is placed on horizontal surface and a small particle P is placed in it at a distance of 5 cm from the centre. An eye is placed at a position such that the edge of the bottom is just visible. The particle P is in the plane of drawing. Upto what minimum height should water be poured in the vessel to make the particle P visible?Q2. An object is placed 20 cm in front of a block of glass 10cm thick and its farther surface is silvered. The image is formed 23.2cm behind the silvered face. Find the refractive index of the glass.Q3. In a river 2 m deep, a water level measuring post embedded itno the river stands vertically with 1 m of it above the water surface. If the angle of inclination of the sun above the horizon is 30°, calculate the length of the post on the bottom of the river (refractiv index of water = 4/3)Q4. how long will light take in travelling a distance of 500 metre in water? given that refractiv index for water is 4/3 and the velocity of light in vacuum is 3 x 10(to the power 10) cm/sec. Also calculate equivalent path.
Q5. A ray of sunlight enters a spherical water droplet (refractiv index = 4/3) at an angle of incidence 53° measured with respect to the normal to the surface. It is reflected from the back surface of the droplet and re-enters into air. The angle between the incoming and outgoing ray is [take sin53° = 0.8]Q6. A cubical vessel with non transparent walls is so loacated that the eye of an observer does not see its bottom, but sees all of the front wall upto bottom corner D. Upto what height water should be poured into ther vessel for the observer to see an object O arranged at a distance of 10 cm from the corner D? The face of vessel is a= 40 cm.
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