Observe the following statements about a dry cell:
$I$. It is a primary battery.
$II$. Zinc vessel acts as cathode.
$III$. $A$ paste of moist $NH_4Cl$,$MnO_2$ and $ZnCl_2$ is present between two electrodes.
$IV$. The potential of this cell is $1.5 \ V$.
The correct statements are:

Give true $(T)$ and false $(F)$ for following statements :
$(1)$ There is no difference between the galvanic and the electrolytic cell.
$(2)$ In electrolytic cell,anode of galvanic cell is cathode and cathodes are anode.
$(3)$ The flow of current and electron in electrolytic cell is opposite to the galvanic cell.
$(4)$ When $2.0 \ V$ external current in the opposite direction is passed through the Daniell cell,in such condition there is no effect on Daniell cell.

When does the galvanic cell become an electrolytic cell?

If $\Lambda _{NaCl}^{o}=126\,S\,cm^{2}mol^{-1}$,$\Lambda _{KBr}^{o}=152\,S\,cm^{2}mol^{-1}$,and $\Lambda _{KCl}^{o}=150\,S\,cm^{2}mol^{-1}$,then find $\Lambda ^{o}_{NaBr}$ in $S\,cm^{2}mol^{-1}$.

Match List-$I$ with List-$II$:

List-$I$ (Applications)	List-$II$ (Batteries/Cell)
$A$. Transistors	$I$. Anode $- Zn/Hg$; Cathode $- HgO + C$
$B$. Hearing aids	$II$. Hydrogen fuel cell
$C$. Inverters	$III$. Anode $- Zn$; Cathode $- Carbon$
$D$. Apollo space ship	$IV$. Anode $- Pb$; Cathode $- PbO_2$

Choose the correct answer from the options given below:

In the button cells widely used in watches and other devices,the following reaction takes place:
$Zn_{(s)} + Ag_2O_{(s)} + H_2O_{(l)} \rightarrow Zn^{2+}_{(aq)} + 2Ag_{(s)} + 2OH^{-}_{(aq)}$
Determine $\Delta_r G^\Theta$ and $E^\Theta$ for the reaction.