A horizontal steel railroad track has a ...

A horizontal steel railroad track has a length of 100 m when the temperature is `25^(@)C`. The track is constrained from expanding or bending. The stress on the strack on a hot summer day, when the temperature is `40^(@)C`, is (Note : the linear coefficient of thermal expansion for steel is `1.1xx10^(-5)//.^(@)C` and the Young's modulus of steel is `2xx10^(11)` Pa)

`6.6xx10^7` pa

`8.8xx10^7` pa

`3.3xx10^7` pa

`5.5xx10^7` pa

Text Solution

Verified by Experts

The correct Answer is:

`F/A=gamma alpha Delta T=2xx10^(11)xx1.1xx10^(-5)xx15 implies 3.3xx 10^7` Pa

Topper's Solved these Questions

THERMODYNAMICS
ERRORLESS|Exercise NCERT BASED QUESTIONS (ISOTHERMAL PROCESS)|16 Videos
THERMODYNAMICS
ERRORLESS|Exercise NCERT BASED QUESTIONS (ADIABATIC PROCESS)|31 Videos
SURFACE TENSION
ERRORLESS|Exercise ASSERTION & REASON|11 Videos
THERMOMETRY, THERMAL EXPANSION AND CALORIMETRY
ERRORLESS|Exercise ASSERTION & REASON|10 Videos

Similar Questions

Explore conceptually related problems

A steel wire of length 20 cm and uniform cross-section 1mm^(2) is tied rigidly at both the ends. If the temperature of the wire is altered from 40^(@)C to 20^(@)C , the change in tension. [Given coefficient of linear expansion of steel is 1.1xx10^(5) .^(@)C^(-1) and Young's modulus for steel is 2.0xx10^(11) Nm^(-2) ]

A steel tape 1 m long is correctly calibrated for a temperature of 27.0^(@)C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45^(@)C . Coefficient of linear expansion of steel = 1.20 xx 10^(-5) //K . what is the actual length of the steel rod on that day?

A concrete slab has a length of 10 m on a winter night when the temperature is 0^C . Find the lenth of the slab on a summer day when the temperature is 35^C . The coefficient of linear expansion of concrete is 1.0 XX 10^(-5) 0^ C^(-1) .

A steel wire of uniform cross-sectional area 2mm^(2) is heated upto 50^(@) and clamped rigidly at two ends . If the temperature of wire falls to 30^(@) then change in tension in the wire will be , if coefficient of linear expansion of steel is 1.1 xx 10^(-5)//"^(@)C and young's modulus of elasticity of steel is 2 xx 10^(11) N//m^(2)

A steel wire 2 mm in diameter is just stretched between two fixed points at a temperature of 20^(@)C. If the temperature falls to 10^(@)C, then the tension in the wire is (The coefficient of linear expansion of steel = 11xx10^(-6)//^(@)C and Y for steel 2.1 xx10^(11)N//m^(2))

A steel wire of length 20 cm and unifrom crossection mm^(2) is tied rigidly at both the ends. If temperature of the wre is altered from 40^(@)C to 20^(@)C , calcutlate the change in tension. Given coeffeicient of linear expansion of steel is 1.1 xx 10^(-5) .^(@)C^(-1) and Young's modulus for steel is 2.0 xx 10^(11) Nm^(-2) .

A steel ball initially at a pressure of 10^5Pa is heated from 20^@ C to 120^@ C keeping its volume constant. Find the final pressure inside the ball. Given that coefficient of linear expansion of steel is 1.1xx10^(-5)//^@C and Bulk modulus of steel is 1.6xx10^(11)Nt//m^(2) .

A metre scale is made up of steel and measures correct length at 16^C . What will be the percentage error if this scale is used (a) on a summer day when the temperature is 46^C and (b) on a winter day when the temperature is 6^C ? Coefficient of linear expansion of steel =11 xx 10^(-6) o^C^(-1) .

The length of each steel rail is 10 m in winter. The coefficient of linear expansion of steel in 0.000012//^(@)C in summer. The gap to be left between the rails

ERRORLESS-THERMODYNAMICS-ASSERTION AND REASON

A horizontal steel railroad track has a length of 100 m when the tempe...
Text Solution
|
Assertion: Reversible systems are difficult to find in real world. R...
Text Solution
|
Assertion: Air quickly leaking out of a balloon becomes coolers. Rea...
Text Solution
|
Aseertion: Thermodynamics process in nature are irreversible. Reason...
Text Solution
|
Assertion: When a bottle of cold carbonated drink is opened, a slight...
Text Solution
|
Assertion: The isothermal curves intersect each other at a certain poi...
Text Solution
|
Assertion: In adiabatic compression, the internal energy and temperatu...
Text Solution
|
Statement-1: In isothermal process whole of the heat energy suppled to...
Text Solution
|
Assertion : We can not change the temperature of a body without givin...
Text Solution
|
Statement I: The specific heat of a gas in an adiabatic process is zw...
Text Solution
|
Assertion: The isothermal curves intersect each other at a certain poi...
Text Solution
|
Assertion: The heat supplied to a system is always equal to the increa...
Text Solution
|
Assertion: The temperature of the surface of the sun is approximately ...
Text Solution
|
Assertion : It is not possible for a system, unaided by an external a...
Text Solution
|
Assertion : If an electric fan be switched on in a closed room, the a...
Text Solution
|
Assertion : When a glass of hot milk is placed in a room and allowed t...
Text Solution
|
Statement-1 : In an adiabatic process, change in internal energy of a ...
Text Solution
|
Assertion : The Carnot cycle is useful in understanding the performanc...
Text Solution
|
A : Work done by a gas in isothermal expension is more than the work d...
Text Solution
|
Assertion : First law of thermodynamics is a restatement of the princi...
Text Solution
|
Assertion : Zeroth law of thermodynamic explain the concept of energy...
Text Solution
|