JEE Advanced 2020 Full Test 1 Paper 1

In the given diagram, there is a cylindrical can of cross sectional area A and length ℓ=0.4m completely filled with liquid of density ' p '. It is attached to massless pulley. A small hole of area ' a′=‌

A

100

is made at the base of can. A wave pulse is generated at point A at an instant when small hole is made at base of can. When can gets empty, the wave pulse reaches point B. Then, find length AB (in meter) (‌

ρA

µ

=‌

1

16

S.I unit )µ is linear mass density of string 'AB' Neglect mass of can and thrust force due to efflux of liquid.