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Young's modulus of steel is 2xx10^12 cgs...

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

Text Solution

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`Y=2xx10^12 "dyne"//cm^2=(2xx10^12 "dyne")/(1cm^2)=((1xx10^12)/(10^5)"Newton")/(1/10^4m^2)=(2xx10^12xx10^4)/10^5N//m^2=2xx10^11N//m^2`
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Knowledge Check

  • Young's modulus of steel is 1.9xx10^(11) N//m^2 When expressed is cgs units of "dynes"//cm^2 , it will be equal to (1N =10^5 "dyne", 1m^2 =10^4 cm^2)

    A
    `1.9xx10^(10)`
    B
    `1.9xx10^(11)`
    C
    `1.9xx10^(12)`
    D
    `1.9xx10^(13)`
  • A steel wire of cross-sectional area 3.0xx10^-5m^-2 stretches by the same amount as a copper wire of cross-sectional area 4.0xx10^-5m^2 under the same load. What is the ratio of the original length of the steel wire to that of the copper wire ? Young's modulus of steel is 2.0xx10^11 Nm^-2 and that of copper is 1.0xx10^11Nm^-2 .

    A
    1:2
    B
    1:1
    C
    3:2
    D
    2:1
  • The Young's modulus of a metal is 1.2xx10^11Pa and its interatomic force constant is 3.6xx10^-9Nm^-1 the average distance between atoms is

    A
    `3xx10^-16 m`
    B
    `3xx10^-18 m`
    C
    `3xx10^-20 m`
    D
    `3xx10^-20 cm`
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    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)]

    A sphere of mass 25 kg and radius 0.1 m is hung from the celling of a room with the help of a steel wire. The height of the ceiling from the floor is 5.21 m. When the sphere is hung just like a pendulam, its lower surface touches the floor of the room. What will be the velocity of the sphere at the lowest points of its oscillation? The young's modulus for steel = 2 times 10^11 N.m^-2 , the initial length of the wire =5 m and the radius of the wire =5 times 10^-4 m .

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