The difference between Groove and Grove

When used as nouns, groove means a long, narrow channel or depression, whereas grove means a small forest.

When used as verbs, groove means to cut a groove or channel in, whereas grove means to cultivate in groves.

check bellow for the other definitions of Groove and Grove

Groove as a noun:

A long, narrow channel or depression; e.g., such a slot cut into a hard material to provide a location for an engineering component, a tyre groove, or a geological channel or depression.
Groove as a noun:

A fixed routine.
Groove as a noun:

The middle of the strike zone in baseball where a pitch is most easily hit.
Groove as a noun:

A pronounced, enjoyable rhythm.
Groove as a noun (mining):

A shaft or excavation.

Groove as a verb (transitive):

To cut a groove or channel in; to form into channels or grooves; to furrow.
Groove as a verb (intransitive):

To perform, dance to, or enjoy rhythmic music.

Examples:

"I was just starting to groove to the band when we had to leave."

Grove as a verb:

To cultivate in groves; to grow naturally so as to form groves.
Grove as a verb (forestry, of trees):

To cultivate with periodic harvesting that also serves to create order (gaps and lines of trees) to facilitate further harvesting.
Grove as a verb:

To plough or gouge with lines.