What your broker has told you is half correct. It is correct that income earned from money transferred from father is clubbed in father's hand BUT this is only till the son in is a minor i.e. below 18 years of age.
In your case since you are above 18 therefore whatever income is earned on this accumulated money would be taxable in your hand and not your father's.
In your case since you are above 18 therefore whatever income is earned on this accumulated money would be taxable in your hand and not your father's.