A) both \[{{c}_{1}}\] and \[{{c}_{2}}\] will move w.r.t. ground
B) neither \[{{c}_{1}}\] and \[{{c}_{2}}\] will move w.r.t. ground
C) \[{{c}_{1}}\] will move but \[{{c}_{2}}\] will be stationary w.r.t. ground
D) \[{{c}_{2}}\] will move but \[{{c}_{1}}\], will be stationary w.r.t. ground
Correct Answer: C
Solution :
\[\because \] The compartment is stationary, so the combined centre of mass of the compartment and passengers is fixed, i.e., \[P{{b}^{2+}}+2C{{l}^{-}}\xrightarrow{\,}\,PbC{{l}_{2}}\downarrow \,(\text{white}\,\text{ppt}\text{.})\] is fixed. When the passengers move here and there in the compartment, Then in an attempt to keep \[P{{b}^{2+}}+SO_{4}^{2-}\xrightarrow{\,}\,PbS{{O}_{4}}\downarrow \,(\text{white}\,\text{ppt}\text{.})\] fixed, \[\underset{0.15-x\sim 0.15}{\mathop{HCOOH}}\,\,\underset{x}{\mathop{HCO{{O}^{\odot -}}}}\,+\underset{0.1}{\mathop{{{H}^{\oplus }}}}\,\] has to move.
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