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.

`1/2 sqrt(sigma/rho)`

`1/2 sigma/rho`

`sqrt(rho/sigma)`

`sqrt(sigma/rho)`

Text Solution

Verified by Experts

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 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 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 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 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 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) .

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].

KVPY PREVIOUS YEAR-MOCK TEST 10-EXERCISE

A uniform rod of density rho is placed in a wide tank containing a liq...
Text Solution
|
A plano convex lens of refractive index 1.5 and radius of curvature 30...
Text Solution
|
A micture of light, consisting of wavelength 590nm and an unknown wave...
Text Solution
|
A diatomic ideal gas is used in a Carnot engine as theworking substanc...
Text Solution
|
A very long (length L) cylindrical galaxy is made of uniformly distrib...
Text Solution
|
A point source of constant power P is emitting photon of wavelength la...
Text Solution
|
A car,starting from rest, accelerates at the rate f through a distance...
Text Solution
|
A barometer kept in an elevator accelerating upward reads 76 cm. The a...
Text Solution
|
The binding energy of deuteron .1^2 H is 1.112 MeV per nucleon and an ...
Text Solution
|
The magnetic field in a region is given by B=B0(1+x/a)hat k.A square l...
Text Solution
|
An ideal Black-body at room temperature is thrown into a furnace. It i...
Text Solution
|
A particle of charge q and mass m starts moving from the origin under ...
Text Solution
|
A train has just completed a U-curve in a trach which is a semi circle...
Text Solution
|
Four person K,L,M and N are initally at the corners of a square of sid...
Text Solution
|
A billiard ball, initially at rest, is given a sharp impulse by a cue....
Text Solution
|
A thin non-conducting ring or radius a has a linear charge density lam...
Text Solution
|
A particle of mass m undergoes oscillations about x = 0 in a potential...
Text Solution
|
A carpet of mass M is rolled along its length so as to from a cylinder...
Text Solution
|
The angle substanded by the first diffraction minimum for a point sour...
Text Solution
|
A simple pendulum is hanging from a peginserted in a vertical wall. It...
Text Solution
|