Home
Class 12
PHYSICS
An object of mass m is submerged complet...

An object of mass m is submerged completely inside water filled in a container kept on a horizontal surface as shown. The object is tied to the bottom of the vessel by a massless, thin thread. In equilibrium, the tension in the thread is T. The relative density of the object is :

A

`(mg-T)/(mg)`

B

`(T)/(mg)`

C

`(mg)/(T)`

D

`(mg)/(mg+T)`

Text Solution

Verified by Experts

The correct Answer is:
D
Let the relative density of the object be x and density of water be `rho`
Then, buoyant force, `B=rhovg=rho(m)/(xrho)g=(mg)/(x)`
In equilibrium, `T+mg=Bimpliesx=(mg)/(mg+T)`
Promotional Banner

Similar Questions

Explore conceptually related problems

Force is applied on an object of mass 2 kg at rest on a frictionless horizontal surface as shown in the graph. The speed of object at t=1 s will be

An object of mass M and radius R is performing pure rolling motion on a smooth horizontal surface under the action of a constant force F as shown in Fig. The object may be

An object of mass m is released from rest at a height h above the surface of a table. The object slides along the inside of the loop. The loop track consisting of a ramp and a circular loop of radius R shown in the figure. Assume that the track is frictionless. When the object is at the top of the circular track it pushes against the track with a force equal to three times its weight. What height was the object dropped from?

A solid object is immersed in water in a vessel by a string attached to the base,immediately on cutting the string,the object travels 1m in 1 sec.The relative density of solid is "(g=10m/s^(2))

An object of mass m is performing simple harmonic motion on a smooth horizontal surface as shown in Fig. just as the oscillating object reaches its extreme position, another object of mass 2 m is dropped on to oscillating object, which sticks to it. For this situation mark out the correct statement (s).

Find the apparent depth and apparent shift of an object placed at the bottom of the vessel containing a glass slap of thickness 10 cm and water of height 50 cm. as shown in the figure.

An open cubical tank completely filled with water is kept on a horizontal surface. Its acceleration is then slowly increasesd to 2m//s^(2) as shown in the figure. The side of the tank is 1m. Find the mass of water that would spill out of the tank.

A small object of mass m, on the end of a light cord, is held horizontally at a distance r from a fixed support as shown. The object is then released. What is the tension in the cord when the object is at the lowest point of its swing?