1. We need the increasing order of density for the elements:

   $\text{Cr, Fe, Co, Cu, Zn}$

2. Recall approximate densities of these 3d-series metals:

   • Chromium, $\text{Cr} \approx 7.2\,\text{g cm}^{-3}$
   • Iron, $\text{Fe} \approx 7.9\,\text{g cm}^{-3}$
   • Cobalt, $\text{Co} \approx 8.9\,\text{g cm}^{-3}$
   • Copper, $\text{Cu} \approx 8.96\,\text{g cm}^{-3}$
   • Zinc, $\text{Zn} \approx 7.1\,\text{g cm}^{-3}$

3. Arrange them from lowest to highest density:

   $\text{Zn} < \text{Cr} < \text{Fe} < \text{Co} < \text{Cu}$

4. Match with the options:

   • A: $\text{Cr} < \text{Zn} < \text{Co} < \text{Cu} < \text{Fe}$ \quad ❌
   • B: $\text{Cr} < \text{Fe} < \text{Co} < \text{Cu} < \text{Zn}$ \quad ❌
   • C: $\text{Zn} < \text{Cr} < \text{Fe} < \text{Co} < \text{Cu}$ \quad ✅
   • D: $\text{Zn} < \text{Cu} < \text{Co} < \text{Fe} < \text{Cr}$ \quad ❌

5. Final Answer:

   $\boxed{\text{Zn} < \text{Cr} < \text{Fe} < \text{Co} < \text{Cu}}$

So, the correct option is C.