NEET-XII-Physics

exam-1 year:2016

with Solutions - page 3
  • #33
    Two non-mixing liquids of densities  and
    n``\rho `` (n > 1) are put in a container. The height of
    each liquid is h. A solid cylinder of length L and
    density d is put in this container. The cylinder floats
    with its axis vertical and length pL(p < 1) in the
    denser liquid. The density d is equal to :-
    (1) {1 + (n + 1)p}``\rho `` (2) {2 + (n + 1)p}``\rho ``
    (3) {2 + (n - 1)p}``\rho `` (4) {1 + (n - 1)p}``\rho ``
    digAnsr:   4
    Ans : 4
    Sol.
    d
     (1 - p)L
    n pL
    L A d g = (pL) A (n)g + (1 - p) L A g
    &implies; d = (1 - p) + pn  = [1 + (n - 1)p]