Question

14. measuring cylinder containing some water stands on a scale pan. A solid ball is lowered into the water. The water level rises from the 30cm mark to the 40cm' mark. The scale reading increases from 100g to 180. What is the density of the material of the ball?​

Answer 1

Let d be the density of fluid.

So , Initial reading of balance, F1 =30dg N

After the level reaches 50cm^3

Final reading of balance , F2 =50dg N

Given that difference between final and initial reading is 30g

i.e, F2 −F1

=30 g

⟹50dg−30dg=30g

⟹20dg=30g

⟹d=30g/20g

⟹d=1.5g/cm^3

So, density of fluid is 1.5g/cm^3