Home
Class 11
PHYSICS
IF the elastic limit of a typical rock i...

IF the elastic limit of a typical rock is `3 times 10^8 N.m^-2` and its mean density is `3 times 10^3 kg.m^-3`, estimate the maximum height of a mountain on the earth. (`g=10 m.s^-2`)

Text Solution

Verified by Experts

Let us the assume that the maximum height of the mountain is h and g is nearly uniform along this height.
Then the maximum pressure at its bottom=`h rho g`.
According to the problem ,
` h rho g`= breaking stress= elastic limit.
`thereforeh=(ela sticlimit)/(rhog)`
Here, `rho=3times10^3kg.m^-3` and the elastic limit `=3times10^8N.m^-2`
`thereforeh=(3times10^8)/(3times10^3times10)=10^4m`
Promotional Banner

Topper's Solved these Questions

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise HIGHER ORDER THINKING SKILL (HOTS ) QUESTION|20 Videos

  • ELASTICITY

    CHHAYA PUBLICATION|Exercise EXERCISE (Multiple Choice Questions)|30 Videos

  • DOPPLER EFFECT IN SOUND

    CHHAYA PUBLICATION|Exercise CBSE SCANNER|2 Videos

  • EXPANSION OF GASES

    CHHAYA PUBLICATION|Exercise CBSE Scanner|1 Videos

Similar Questions

Explore conceptually related problems

Young's modulus of silver is 7.25 times 10^10 N.m^-2 and its bulk modulus is 11 times 10^10 N.m^-2 . Find the poisson's ratio for silver.

A rubber string of length 8 m is hanging vertically with one end fixed. If the density of rubber is 1.5 times 10^3 kg.m^-3 and young's modulus is 5 times 10^6 N.m^-2 , then increase of its length due to its own weight will be [ g=10 m.s^-2 ]

The radius of earth is 6.37xx10^6 m , its mean density is 5.5 g*cm^(-3) . Calculate the earth's surface potential.

Young's modulus for the material of a substance is 7.25 times 10^10 N.m^-2 and its bulk modulus is 11 times 10^10 N.m^-2 . Find modulus of rigidity of the substance.

A force of 10^6 N.m^-2 is required for breaking a material. IF the density of the material is 3 times 10^3 kg.m^-3 , then what should be the length of the wire made of this material , so that it breaks due its own weight? [ g=9.8 m.s^-2 ]

What will be the approximate terminal velocity of a rain drop of diameter 1.8xx10^-3 m , when density of rain water ~~10^3 kg. m^-3 and the coefficient of viscosity of air ~~1.8xx10^-5 N.s. m^-2 ?(Neglect buoyancy of air)

The density of gas is 6 times 10^22 kg.m^-3 and the root mean square speed of the gas molecules is 500 m.s^-1 The pressure exerted by the gas on the walls of the vessel in n times 10^3 N.m^-2 Find the value of n.

The density of water at the surface is 1030 kg .m^-3 and bulk modulus of water is 2 times 10^9 N.m^-2 . What is the approximate change in density ( I n kg.m^-3 ) of water in a lake at a depth of 400 m below the surface?

When a load of 10 kg is hung from one end of a wire of length 5 m, the wire elongates by 5 mm. IF the young modulus for the material of the wire is 9.8 times 10^10 N.m^-2 , then find the area of cross section of the wire. [g=9.8 m.s^-2 ]