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A cylindrical vessel, whose diameter and height both are equal to 30 cm, is placed on a horizontal surface and a small particle P is placed in it at a distance of 5.0 cm from the centre. An eye is placed at a position such that the edge of the bottom is just visible (see figure 18-E8). The particle P is in the plane of drawing. Up to what minimum height should water be poured in the vessel to make the particle P visible ? |
| Answer» DIAMETER of cylindrical vessel =30cm R= 15cm H= 30cm SIN i/ sinr = 3/4 sin i = 3/4 X √2 since r= 45 °the point can be seen only when r= 45° at point of refraction Let x be the distance of point from X tan 45 = x+10/d d= x+10 tan i = x/d 3/√23= d-10/d since values of sin i =3/4√2 -> tan i = 3/√23 3/√23-1= - 10/d d= √23 x10/ √23- 3=26.7cm | |