Home
Class 11
PHYSICS
One end of a wire 2m long and 0.2 cm^2 i...

One end of a wire 2m long and 0.2 cm^2 in cross section is fixed in a ceiling and a load of 4.8 kg is attached to the free end. Find the extension of the wire. Young modulus of steel `=2.0xx10^11Nm^-2`. Take `g=10ms^-2`.

Text Solution

Verified by Experts

We have
`y=stress/strain=(T/A)/(l/L)`
with symbols having their usual meanings. The extension is
`l=(TL)/(AY)`
As the load is in equilibrium after the extension, the tension in the wire is equal to the weight of the load
`=4.8kgxx10ms^-2=48N`
Thus, `l=((48N)(2m))/((0.2xx10^-4m^2)xx(2.0xx10^11Nm^-2))`
`=2.4xx10^-5m`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Question For short Anser|18 Videos

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Objective-1|29 Videos

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA|Exercise Exercises|32 Videos

  • SIMPLE HARMONIC MOTION

    HC VERMA|Exercise Exercises|58 Videos

  • SOUND WAVES

    HC VERMA|Exercise All Questions|139 Videos

Similar Questions

Explore conceptually related problems

A wire of area of cross section 3.0mm^2 and natural length 50 cm is fixed at one end and a mas of 2.1 kg is hung from the other end. Find the elastic potential energy stored in the wire in steady state. Young modulus of the material of the wire =1.9xx10^11Nm^-2. Take g=10ms^-2

A vertical metal cylinder of radius 2 cm and length 2 m is fixed at the lower end and a load of 100 kg is put on it. find a. the stress b. the strain and c. the compression of the cylinder. Young modulus of the metal =2xx10^11Nm^-2

A load of 10 kg is suspended by a metal wire 3 m long and having a cross sectional area 4mm^2 . Find a. the stress b. the strain and c. the elongation. Young modulus of the metal is 2.0xx10^11Nm^-2

Two wires of equal cross section but one made of steel and the other of copper, are joined end to end. When the combination is kept under tension, the elongations in the two wires are found to be equal. Find the ratio of the lengths of the two wires. Young modulus of steel =2.0xx10^11Nm^-2 and that of copper =1.1xx10^11Nm^-2

One end of a metal wire is fixed to a ceiling and a load of 2 kg hangs from the other end. A similar wire is attached to the bottom of the load and another load of 1 kg hangs from this lower wire. Find the longitudinal strain in both wires. Area of cross section of each wire is 0.005 cm^2 and Young modulus of the metal is 2.0xx10^11 Nm^-2. Take g=10ms^-2

A steel wire of original length 1 m and cross-sectional area 4.00 mm^2 is clamped at the two ends so that it lies horizontally and without tension. If a load of 2.16 kg is suspended from the middle point of the wire, what would be its vertical depression ? Y of the steel =2.0xx10^11Nm^-2 . Take g=10 ms^-2

A steel wire of length 2.0 m is stretched through 2.0 mm. The cross sectional area of the wire is 4.0 mm^2. Calculate the elastic potential energy stored in the wire in the stretched condition. Young modulus of steel =2.0x10^11Nm^-2

A copper wire of cross sectional area 0.01 cm^2 is under a tension of 20 N . Find the decrease in the cross sectional area. Young modulus of copper =1.1xx10^11Nm^-2 and Poisson ratio 0.32 .

A steel wire and a copper wire of equal length and equal cross sectional area are joined end to end and the combination is subjected to a tension. Find the ratio of a. The stresses developed in the two wire and b. the strains developed. Y of steel =2xx10^11Nm^-2 . Y of copper =1.3xx10^11 Nm^-2 .

Calculate the speed of sound in a steel rod whose Young's modulus Y = 2 xx 10^(11) N m^(-2) and rho = 7800 kg m^(-3)

Home
Profile