A cylindrical vessel of 92 cm height is kept filled up to the brim. It has four holes 1,2,3,4 which are respectively at heights of 20 cm, 30 cm, 46 cm, and 80 cm from the horizontal floor. The water falling at the maximum horizontal distance from the vessel comes from
Know your College Admission Chances Based on your Rank/Percentile, Category and Home State.
Get your JEE Main Personalised Report with Top Predicted Colleges in JoSA
The horizontal distance water travels from a hole in a container is given by , where H is the total height of water (92 cm) and h is the height of the hole from the bottom. For maximum R, the term h(H-h) must be maximized. This is a quadratic function, and its maximum occurs at h = H/2 = 46 cm. Therefore, the hole at 46 cm (hole no. 3) will produce the water jet with the maximum horizontal range.
Final Answer: hole no. 3