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

AI Generated Solution

To find the extension of the wire when a load is applied, we can use the formula derived from Young's modulus: \[ \Delta L = \frac{T \cdot L}{A \cdot Y} \] Where: - \(\Delta L\) = extension of the wire ...
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA ENGLISH|Exercise Exercises|32 Videos
  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA ENGLISH|Exercise Question For short Anser|18 Videos
  • SOME MECHANICAL PROPERTIES OF MATTER

    HC VERMA ENGLISH|Exercise Objective-2|7 Videos
  • SIMPLE HARMONIC MOTION

    HC VERMA ENGLISH|Exercise Question for short Answer|15 Videos
  • SOUND WAVES

    HC VERMA ENGLISH|Exercise All Questions|133 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

A 2 kg mass is suspended by a rubber cord 2 m long and of cross-section 0.5 cm. It is made to describe a horizontal circle of radius 50cm in 4 times a second. Find the extension of the cord.(Young's modulus Y=7xx10^(8) Nm^(-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 600cm and diameter 1.2 mm is stretched through 4 mm by a load. Calculate the work done. Young's modulus of steel = 2xx 10^(11) Nm^(-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 block of weight 10 N is fastened to one end of wire of cross-sectional area 4 mm^(2) and is rotated ina vertical circle of radius 30 cm. The speed of the block at the bottom of the circle is 3 ms^(-1) . Find the elongation of the wire when the block is at the bottom of the circle . Young's modulus of the material of the wire =2xx10^(11)Nm^(-2).(g=10ms^(-2))