^QUESTIONS ON CHAPTERS IX., X., AND XI. 59 



The solid is then allowed to rest on the bottom of the vessel, the string being 

 slack, and a further 16-8 grams have to be added to the other scale pan. 



What is the specific gravity of the solid ? 



Explain your method of calculation. 



45. In what circumstances will a solid body float in a liquid ? 

 Describe experiments to establish definitely the law of flotation. 



46. One gram of cork (Sp. gr. =0-25) is tied to 2 grams of brass (Sp. gr. =8). 

 What is the specific gravity of the heaviest liquid in which they will sink ? 



47. Find the ratio of the volume of an iceberg which is under water to 

 the volume above the surface. The specific gravity of the sea water is 

 1-03, and of the ice 0-92. 



48. A pound of iron and a pound of lead are hung on the two arms of a 

 lever, the distance of each from the fulcrum being 1 foot. If both weights 

 are allowed to hang completely immersed in water, find the distance through 

 which the lead weight must be shifted to restore the equilibriun of the lever. 

 The specific gravities of iron and lead are 7-5 and 11-3 respectively. 



