A small solid sphere of mass M 0 , of radius R 0 , and of uniform density 0 is p
ID: 1776368 • Letter: A
Question
A small solid sphere of mass M0, of radius R0, and of uniform density 0 is placed in a large bowl containing water. It floats and the level of the water in the dish is L. Given the information below, determine the possible effects on the water level L, (R-Rises, F-Falls, U-Unchanged), when that sphere is replaced by a new solid sphere of uniform density.
1. The new sphere has mass M = M0 and radius R > R0
2. The new sphere has mass M < M0 and density = 0
3. The new sphere has radius R = R0 and density > 0
4. The new sphere has mass M > M0 and density = 0
5. The new sphere has density < 0 and radius R > R0
6. The new sphere has radius R < R0 and mass M = M0
Explanation / Answer
1. since mass is same, so level rise will remain same i.e U
2. Since mass is less, level rise will be less i.e F
3. Since Density is more, mass will be more, so level rise will be more i.r. R
4. Since mass is more, level rise will be more i.e. R
5. Since density is less and radius is more, mass may remain same i.e. U
6. Same mass therefore unchanged i.e U
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