Arrange the following in increasing order of solubility product :$$\mathrm{Ca(OH)_2, \ AgBr, \ PbS, \ HgS}$$

A

$$\mathrm{HgS < AgBr < PbS < Ca(OH)_2}$$

B

$$\mathrm{Ca(OH)_2 < AgBr < HgS < PbS}$$

C

$$\mathrm{PbS < HgS < Ca(OH)_2 < AgBr}$$

D

$$\mathrm{HgS < PbS < AgBr < Ca(OH)_2}$$