An elastic string of length 42 cm and cross section area 10–2m2 is attached between two pegs at distance 6 mm as shown in the figure. A particle of mass m is kept at midpoint of string stretched as shown in figure by 20 cm and released. As the string attains natural lengths, the particle attains a speed of 20 m/s. Then young modulus Y of string is of order
(1) 108
(2) 1012
(3) 106
(4) 104