A metallic rod of length `1m` has one end free and other end rigidly clamped. Longitudinal stationary waves are set up in the rod in such a way that there are total six antinodes present along the rod. The amplitude of an antinode is `4 xx 10^(-6) m`. young's modulus and density of the rod are `6.4 xx 10^(10) N//m^(2)` and `4 xx 10^(3) Kg//m^(3)` respectively. Consider the free end to be at origin and at `t=0` particles at free end are at positive extreme.
The equation describing stress developed in the rod is

Explanation

(a) `lambda =4/(11)m`, (b) 11000 Hz (c ) `2sqrt2xx 10^(-6) cos (22000pit)`
`y_1 = 2 xx 10^(-6) sin ((11pix)/2-22000pit) and y_2=2 xx10^(-6)sin ((11pix)/2+220000 pit)`