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The pressure that has to be applied to t...

The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by `100^@C` is
(For steel Young's modulus is `2 xx 10^11 Nm^-2` and coefficient of thermal expansion is `1.1 xx 10^-5 K^-1`)

A

`2.2xx10^8Pa`

B

`2.2xx10^9Pa`

C

`2.2xx10^7Pa`

D

`2.2xx10^6Pa`

Text Solution

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The correct Answer is:
A
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The pressure that has to be applied to the ends of a steel wire of length 10 cm to keep its length constant when its temperature is raised by 100^(@)C is (For steel, Young's modulus is 2 times 10^(11)N*m^(-2) and coefficient of linear expansion is 1.1 times 10^(-5)K^(-1))

Two ends of a steel rod are rigidly fixed with two supports. At 30^(@)C its area of cross-section is 4 cm^(2) . How much force will be exerted on the supports by the ends of the rod if the temperature of the rod is raised by 60^(@)C ? [Young's modulus of steel =2.1 times 10^(12)dyn*cm^(-2) and its coefficient of linear expansion is 12 times 10^(-6@)C^(-1)]

How much load should be hung from the end of a steel wire of length 3.14 m and of diameter 1 mm so that it increases in length by 1mm? Y for steel is 2 times 10^11 SI unit.

The temperature of a steel rod is increased by 15^(@)C .To resist its expansion in length, what stress should be applied? Young's modulus (Y) for steel =2 times 10^(12)dyn*cm^(-2) and its coefficient of linear expansion, alpha=1.2 times 10^(-5@)C^(-1) .

What will be the increase in length of a steel wire of length 10 m and of diameter 2mm when subjected to a tension due to application of a load of 168 kg on it? Young's modulus of steel= 21 times 10^10 N.m^-2 .

Young's modulus of steel is 2xx10^12 cgs unit. Find its value in St unit.

Cross sectional area of a steel wire is 1 cm^2 .How much force is required to increase its length to twice its initial length? Young's modulus for steel is 2 times 10^12 dyn.cm^-2 .

The length of the steel structure of a bridge is 0.5 km and it has to withstand temperature change from 44^(@)F to 116^(@)F . What allowance should be kept for its expansion if the coefficient of linear expansion of steel is 1 times 10^(-5@)C^(-1) ?

A steel and a brass wire .each of length 50 cm and cross sectional area 0.005cm^(2) hang from a ceiling and are 15 cm apart Lower ends of the wires are attached to a light horizontal bar .A suitable downward load is applied to the bar so that each of the wires extends in length by 0.1 cm . At what distance from the steel wire the load must be applied ? [ Young 's modulus of steel is 2xx10^(12) dynes /cm^(2) and that of brass is 1xx10^(12)"dynes"//cm^(2)]

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