The shawls were bought from Kashmir between 1959 and 1976. The police have no clue about the accused as the cameras at the museum are not in working condition.
The museum was closed on Sunday and Monday. Yesterday, when the shawls were counted, 16 were found to be missing, said a senior police officer.
A case was registered at the Tilak Marg police station on the basis of a complaint from the museum authorities.
They had shared the phone number of the man with the police and were also helping them draw his sketch, the officer said.