Question

why copper does not react with dilute sulphuric acid

Answer 1

because cu is less reactive than H so I.e.,why its doesn't react with H2SO4.
and no displacement reaction occur

Answer 2

Copper comes after hydrogen in reactivity series so copper cannot displace hydrogen atoms from sulphuric acid to form copper sulphate. Therefore, it doesn't react with dilute sulphuric acid.
Reactivity series:
Lithium > Potassium > Sodium > Calcium > magnesium > aluminium > iron > zinc > tin > lead > hydrogen > copper > silver > gold.

Thanks.