Home
Class 12
PHYSICS
A steel wire having a radius of 2.0mm, c...

A steel wire having a radius of `2.0mm`, carrying a load of `4kg`, is hanging from a celling. Given that `g=3.1pi ms^(-2)`, what will be the tensile stress that would be developed in the wire?

A

`3.1xx10^(6)Nm^(-2)`

B

`4.8xx10^(6)Nm^(-2)`

C

`5.2xx10^(6)Nm^(-2)`

D

`6.2xx10^(6)Nm^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
A

Stress = `("load")/("area")=(mg)/(pir^2)`
`=(4xx3.1pi)/(pixx(2xx10^(-3))^2)`
`=3.1xx10^6N//m^2`
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN REVISION TEST - 10| JEE -2020

    VMC MODULES ENGLISH|Exercise PHYSICS (SECTION 2)|5 Videos
  • JEE MAIN REVISION TEST - 1 | JEE - 2020

    VMC MODULES ENGLISH|Exercise PHYSICS ( SECTION 2)|5 Videos
  • JEE MAIN REVISION TEST - 12

    VMC MODULES ENGLISH|Exercise PHYSICS|25 Videos

Similar Questions

Explore conceptually related problems

A wire 3m long and diameter 0.3 mm is stretched by a load of 2kg. If the elongation is 2mm, find the Young.s modulus of the material of the wire and the potential energy stored in the wire.

A steel wire has a length of 12.0 m and a mass of 2.10 kg. What should be the tension in the wire, so that the speed of transverse wave on the wire equals the speed of sound in dry air at 20^@C ? (i.e, 343ms^(-1))?

A fine steel wire of length 4 m is fixed rigidly in a heavy brass frame as ashown in figure . It is just taut at 20^(@)C . The tensile stress developed in steel wire it whole system is heated to 120^(@)C is :- ( Given alpha _("brass") = 1.8 xx 10^(-5) .^(@)C^(-1), alpha_("steel") = 1.2 xx 10^(-5) .^(@)C , Y_("steel") = 2 xx 10^(11) Nm^(-2), Y_("brass")= 1.7xx10^(7) Nm^(-2) )

A steel wire has a length of 12.0m and a mass of 2.10kg. What should be the tension in the wire so that speed of a transverse wave on the wire equals the speed of sound in dry air at 20^(@)C=343ms^(-1) .

A wire elongates by 1.0 mm when a load W is hanged from it. If this wire goes over a pulley and two weights W each are hung at the two ends the elongation of the wire will be

A steel wire of 1.5 m long and of radius 1 mm is attached with a load 3 kg at one end the other end of the wire is fixed it is whirled in a vertical circle with a frequency 2 Hz. Find the elongation of the wire when the weight is at the lowest position Y=2xx10^(11)N//m^(2) and (g=10m//s^(2))

Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1) , Y_("steel") = 200GNm^(-2) )

A wire longates by 9 mm when a load of 10kg is suspended from it. What is the elongation when its radius is doubled, iff all other quantities are same as before ?

A load of 4.0 kg is suspended from a ceiling through a steel wire of radius 2.0 mm. Find the tensile stress developed in the wire when equilibrium is achieved. Take g=3.1pi m/s^-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