An applicant for admission to the bar, or a lawyer in connection with a bar admission application or in connection with a disciplinary matter, shall not:
(a) knowingly make a false statement of material fact; or
(b) fail to disclose a fact necessary to correct a misapprehension known by the person to have arisen in the matter, or knowingly fail to respond to a lawful demand for information from an admissions or disciplinary authority, except that this rule does not require disclosure of information otherwise protected by Rule 1.6.