The velocity of particle executing S.H.M. varies with displacement ( x ) as 4 ~V ^2=50- x ^2 . The time period of oscillation is x 7 second. The value of ' x ' is (Take = 22 7 )

Step-by-step solution

array ll & 4 V^2=50- x ^2 & ~V ^2= 1 4 (50- x ^2 ) & V = 1 2 (50- x ^2 ) array For the given particle velocity is given by, We know that, V = ( A ^2- x ₁^2 )^ 1 / 2 aligned & = 1 2 T= 2 =4 & T=4 =4 22 7 = 88 7 & x=88 aligned