Two solid spheres of same size, of one iron and other of copper, are suspended by strings and submaerged in a beaker containing a certain liquid (the density of liquid is less than that of both iron and copper). If the density of copper is greater than that of iron, which of the following statements are true?
(a) The upthrust on copper sphere is greater than that on the iron sphere.
Upthrust is equal on both spheres.
(c) Tension in the string supporting copper sphere is greater than that in the string supporting iron sphere.
(d) Tension in both the strings is equal.

Explanation

To solve the problem, we need to analyze the forces acting on both the iron and copper spheres when they are submerged in a liquid. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Setup
We have two solid spheres, one made of iron and the other made of copper, both of the same size. They are submerged in a liquid that has a density less than that of both metals.

### Step 2: Determine the Buoyant Force
The buoyant force (upthrust) acting on an object submerged in a fluid is given by Archimedes' principle:
\[ F_b = V \cdot \rho_{liquid} \cdot g \]
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