is there any difference between broad wide ?
You can say to be wide awake but not to be broad awake
a wide boulevard
wide-opened eyes / wide eyes
Wide, broad refer to dimensions.
They are often interchangeable, but wide especially applies to things of which the length is much greater than the width: a wide road, piece of ribbon.
Broad is more emphatic, and applies to things of considerable or great width, breadth, or extent, esp. to surfaces extending laterally: a broad valley.
wide - Definitions from Dictionary.com