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(A) Statement $A$ is correct: $AlCl_3$ forms a dimer $(Al_2Cl_6)$ to complete its octet.Statement $B$ is correct: $BCl_3$ has only $6$ electrons in th

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$C$ & $D$ only

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(A) Statement $A$ is correct: $AlCl_3$ forms a dimer $(Al_2Cl_6)$ to complete its octet.Statement $B$ is correct: $BCl_3$ has only $6$ electrons in the valence shell of boron, making it electron-deficient.Statement $C$ is incorrect: The standard reduction potential $E^0_{Al^{3+}/Al}$ is $-1.66 \ V$, not $+1.26 \ V$.Statement $D$ is incorrect: Due to the inert pair effect, the $+1$ oxidation state of thallium $(Tl^+)$ is more stable than the $+3$ oxidation state $(Tl^{3+})$.Therefore, statements $C$ and $D$ are incorrect.

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Consider the following statements about group $13$ elements:$A$. $AlCl_3$ achieves stability by forming a dimer.$B$. $BCl_3$ is an electron-deficient molecule.$C$. $E^0_{M^{3+}/M^0} \ (V)$ is $+1.26 \ V$ for aluminium.$D$. In $+1$ oxidation state, thallium is unstable.The incorrect statements are: