For a certain transverse standing wave on a long string, an antinode is formed at x = 0 and next to it, a node is formed at x = 0.10, the displacement y (t) of the string particle at x = 0 is shown in figure.
(a) Transverse displacement of the particle at x = 0.05m and t = 0.05sec is - 2√2 cm
(b) Transverse displacement of the particle at x = 0.04m and t = 0.025sec is - 2√2cm
(c) Speed of travelling wave that interfere to produce this standing wave is 2m/s
(d) The transverse velocity of the string particle at x = 1/15m and b = 0.1sec is 20πcm sec
