Question

Sphere a and b are made of the same material. Sphere c is made of a different material. Spheres A and C have equal radii. The radius of sphere B is half that of A. Density of A double that of C. Now answer the following questions. Find the ratio of masses of spheres A and B, Find the ratio of spheres A and B., Find the ratio of masses of spheres A and C

Answer 1

Hey Dear,

● Answer -

mA/mB = 8

mA/mC = 8

◆ Explanation -

# Given -

ρA = ρB

ρA = 2ρC

rA = rC

rA = 2rB

# Solution -

Ratio of masses of A & B is given by -

mA/mB = (ρA/ρB) × (rA/rB)³

But we know, ρA = ρB & rA = 2rB,

mA/mB = (ρB/ρB) × (2rB/rB)³

mA/mB = 2³

mA/mB = 8

Ratio of masses of A & C is given by -

mA/mC = (ρA/ρC) × (rA/rC)³

But we know, ρA = 2ρC & rA = rC,

mA/mC = (2ρC/ρC) × (rC/rC)³

mA/mC = 2³

mA/mC = 8

Thanks for asking..