Home
Class 12
PHYSICS
A uniform rod of density rho is placed i...

A uniform rod of density `rho` is placed in a wide tank containing a liquid of density `rho_0 (rho_0 gt rho)`. The depth of liquid in the tank is half the length of the rod. The rod is in equilibrium, with its lower end resting on the bottom of the tank. In this position the rod makes an angle `theta` with the horizontal.

A

`1/2 sqrt(sigma/rho)`

B

`1/2 sigma/rho`

C

`sqrt(rho/sigma)`

D

`sqrt(sigma/rho)`

Text Solution

Verified by Experts

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MOCK TEST 1

    KVPY PREVIOUS YEAR|Exercise EXERCISE|23 Videos

  • MOCK TEST 2

    KVPY PREVIOUS YEAR|Exercise EXERCISE|26 Videos

Similar Questions

Explore conceptually related problems

Consider a rod of length l resting on a wall and the floor. If the velocity of the upper end of a rod A is v_(0) in downward direction, find the velocity of the lower end B at this iinstant, when the rod makes an angle theta with horizontal

A body of density rho is released gently on the surface of a layer of liquid of depth d and density rho'(rho' lt rho) . Show that it will reach the bottom of the liquid after a time. [(2 d rho)/(g(rho-rho'))]^(1//2) .

Knowledge Check

  • A beaker containing a liquid of density rho moves up with an acceleration a . The pressure due to the liquid at a depth h below the free surface of the liquid is.

    A
    `h rho g`
    B
    `h rho(g + a)`
    C
    `h rho(g - a)`
    D
    `2 h rho g((g - a)/(g + a))`

  • A sealed tank containing a liquid of density rho moves with a horizontal acceleration a, as shown in the figure. The difference in pressure between the points A and B is

    A
    `h rho g`
    B
    `l rho a`
    C
    `h rhog-l rho a`
    D
    `h rho g + l rho a`

  • A sealed tank containing a liquid of density rho moves with horizontal acceleration a as shown in the figure. The difference in pressure between two points A and B will be

    A
    `hrhog`
    B
    `lrhog`
    C
    `hrhog-lrhoa`
    D
    `hrhog-lrhoa`

    • Similar Questions

    Explore conceptually related problems

    A liquid of density rho_0 is filled in a wide tank to a height h. A solid rod of length L, cross-section A and density rho is suspended freely in the tank. The lower end of the rod touches the base of the tank and h=L/n (where n gt 1). Then the angle of inclination theta of the rod with the horizontal in equilibrium position is

    A narrow U-tube placed on a horizontal surface contains two liquids of densities rho_(1) and rho_(2) . The columns of the liquids are indicated in the figure. The ratio (rho_(1))/(rho_(2)) is equal to :

    A uniform rod of length L pivoted at the bottom of a pond of depth L//2 stays in stable equilibrium as shown in the figure. Find the angle 0 if the density of the material of the rod is half of the density of water.

    A trolley containing a liquid of density rho slides down a smooth inclined plane of angle alpha with horizontal. The angle of inclination theta of the free surface with the horizontal is

    There are two holes, each of cross-sectional area a, on the oppisite side of a wide rectangular tank containing a liquid of density rho . When the liquid flows out of the holes the net force on the tank is [ h is the vertical distance between the two holes].

    Home
    Profile