Am I correctly showing a hydride shift on the alkyl halide?

I did this quiz and I forgot the hydride shift.
[![](https://i.stack.imgur.com/Znibx.png "source: imgur.com")](https://i.stack.imgur.com/PYGTZ.jpg)


With the hydride shift, would these be the right answer?
[![](https://i.stack.imgur.com/Qv3NT.png "source: imgur.com")](https://i.stack.imgur.com/a6wbE.jpg)




When you solvolyze the starting bromide a secondary carbocation would be generated. Since a secondary carbocation is not particularly stable, the molecule will explore other pathways such as hydrogen shift, alkyl shift, *etc*., in order to **produce a more stable carbocation**. The figure below, explores these options for your starting bromide. Realize that although I've drawn a discreet secondary carbocation that then undergoes rearrangement, in reality cation generation and alkyl or hydrogen shift may occur in a more or less concerted fashion.


![enter image description here](https://i.stack.imgur.com/14XDf.jpg)


In this case there are 3 options (actually there are 4 options, but the fourth one would produce a primary carbocation, so I left it out - can you find it?), a, b and c. Pathways a and c produce secondary carbocations; however pathway b, involving hydrogen shift, produces a more stable tertiary carbocation. Capture of the tertiary carbocation from pathway c by solvent should produce the expected product.


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