NEET 2025 Question Paper with Answers

# Q1 of 180

Consider a water tank shown in the figure. It has one wall at x = L and can be taken to be very wide in the z direction. When filled with a liquid of surface tension S and density ρ, the liquid surface makes angle θ00 << 1) with the x-axis at x = L. If y(x) is the height of the surface then the equation for y(x) is:


( take θ ( x ) = sin θ ( x ) = tan θ ( x ) = dy dx , g is the acceleration due to gravity )

Options :
A.

d 2 dx2 y = ρg S x

B.

d 2 dx2 y = ρg S y

C.

d 2 dx2 y = ρg S

D.

dy dx = ρg S x

Show Answer
Answer :

d 2 dx2 y = ρg S y

Solution :


F y = Sz dθ = ( dx ) z ρ g y


=weight of  liquid  lifted.......(1) 


tan θ θ = dy dx



dθ dx = d2 y d x2
    ....... ( 2 )


from  equations  (1)  and  (2)


Sz ( d2 y d x2 dx ) = ( dx ) z ρ g y


d2 y d x2 = ρg S y

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