Oxidation of diols using periodic acid


> 
> What are the orders of rates of oxidation with $\ce{HIO4}$ of the following diols? Explain with reasons.
> 
> 
> (**a**) $\ce{Me2C(OH)C(OH)Me2}$  
> 
> (**b**) $\ce{Me2C(OH)CH(OH)Me}$  
> 
> (**c**) $\ce{CH2(OH)CH2(OH)}$  
> 
> (**d**) $\ce{MeCH(OH)CH(OH)Me}$
> 
> 
> 


I know that the reaction proceeds by forming a cyclic diester of periodic acid followed by cleavage of $\ce{C-C}$ bond and formation of $\ce{C=O}$ bond. But how do we compare the rates of the given compounds?


My first thought was to think $\ce{C-C}$ cleavage as formation of a pseudo carbocation which would be stabilised by +*I* effect of the alkyl groups and also the hyperconjugation, but I don't think it is right.


