Fluids+Efflux+Range

Classical Mechanics Level 4

A vessel having two immiscible fluids having density ρ 1 \rho_1 and ρ 2 \rho_2 filled upto height h 1 h_1 and h 2 h_2 placed on a block of height d d as shown in figure. There is a hole at a distance x x from the bottom of vessel. For all x ∈ ( 0 , h 1 ) x \in (0, h_1) if x x increases, range R R increases. Choose the correct relation.

ρ 2 h 2 ρ 1 > d − h 1 \frac{\rho_2 h_2}{\rho_1} > d - h_1 ρ 1 h 2 ρ 2 > d + h 1 \frac{\rho_1 h_2}{\rho_2} > d + h_1 ρ 1 h 2 ρ 1 > d + h 2 \frac{\rho_1 h_2}{\rho_1} > d + h_2 ρ 1 h 2 ρ 2 > d − h 1 \frac{\rho_1 h_2}{\rho_2} > d - h_1 ρ 2 h 2 ρ 1 > d + h 1 \frac{\rho_2 h_2}{\rho_1} > d + h_1

Nishant Rai by Nishant Rai , 25, India

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2 solutions

Abhi Kumbale
Oct 28, 2015

A good problem. Solution is given below.

8 Helpful 0 Interesting 0 Brilliant 0 Confused

This is some next level shit ! Beats !!!

nishchith s - 4 years, 8 months ago

I f t h e ρ 2 > ρ 1 t h e p r e s s u r e i s l e s s e f f e c t e d . ∴ ρ 2 ρ 1 > 1. W e a r e i n t h e r a n g e 0 t o h 1 a b o v e d ∴ i t i s + h 1 . If ~the ~\rho_2 > \rho_1~ the ~pressure~ is~ less~ effected. \\\therefore~\dfrac{\rho_2}{\rho_1}>1. \\We ~are~ in ~the ~range~ 0 ~to~ h_1~above~d\therefore~it~ is~ \color{#D61F06}{+}~h_1. ~

3 Helpful 0 Interesting 0 Brilliant 0 Confused

I used mere observation .......actually it was very interesting . .

cheers to the challenge master

ashutosh mahapatra - 6 years, 1 month ago

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@Nishant Rai what solution u have

Kyle Finch - 6 years ago

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Published a solution

Abhi Kumbale - 5 years, 7 months ago

@Niranjan Khanderia I couldn't understand your solution. Can you please explain me?

Ankit Kumar Jain - 3 years, 3 months ago

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