Home
Class 11
PHYSICS
Two Steel wires of the same length but r...

Two Steel wires of the same length but radii `r` and `2r` are connected together end to end and tied to a wall as shown.

The force stretches the combination by `10 mm`. How far does the midpoint A move? (in mm)

Text Solution

Verified by Experts

The correct Answer is:
8
`F/A_1=Y(/_\l_1)/limplies/_\l-1=(Fl)/(A_1Y)`
`F/A_2=Y(/_\l_2)/limplies/_\l-2=(Fl)/(A_2Y)=(Fl)/(4A_1)=8mm`
`/_\l-1+/_\l_2=10mm`
`(Fl)/(A_1y)+(Fl)/(4A_1Y)=10mmimplies (Fl)/(A_1Y)=8mm`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS VOLUME 2

    CENGAGE PHYSICS ENGLISH|Exercise LC_TYPE|34 Videos

  • MISCELLANEOUS KINEMATICS

    CENGAGE PHYSICS ENGLISH|Exercise Interger type|3 Videos

  • NEWTON'S LAWS OF MOTION 1

    CENGAGE PHYSICS ENGLISH|Exercise Integer|5 Videos

Similar Questions

Explore conceptually related problems

A Copper wire and steel of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

A Copper wire and steel of the same diameter and length are connected end to end and a force is applied, which stretches their combined length by 1 cm. The two wires will have

A steel wire and copper wire of the same diameter and of length 1m and 2m respectively are connected end to end and a force is applied. The increase in length of the combination is 0.01m.Calculate the elongation produced in the individual wires. Given that Y of copper is 12 xx 10^(10) Nm^(2) and that of steel is 20 xx 10^(10) N m^(-2) .

Two wires of the same material and same length have radii 1 mm and 2 mm respectively. Compare : their resistances,

Two wires of the same material (Young's modulus=Y) and same length L but radii R and 2R respectively are joined end to end and a weight w is suspended from the combination as shown in the figure. The elastic potential energy in the system is

Two wires of the same material (Young's modulus=Y) and same length L but radii R and 2R respectively are joined end to end and a weight w is suspended from the combination as shown in the figure. The elastic potential energy in the system is

Two wires of same material of radii 2r and r are welded together end to end The combination is used as a sonometer wire and is kept under tension T. The welded point lies midway between the bridges. What wil be the ratio of the number of loops formed in the wires, such that the joint is node when the stationary waves are set up in the wire?

Two wires of the same material and same length have radii 1 mm and 2 mm respectively. Compare : their specific resistance.

Two wires each of radius of cross section r but of different materials are connected together end to end (in series). If the densities of charge carries in the two wires are in the ratio 1:4 , the drift velocity of electrons in the two wires will be in the ratio:

Two wires each of radius of cross section r but of different materials are connected together end to end (in series). If the densities of charge carries in the two wires are in the ratio 1:4 , the drift velocity of electrons in the two wires will be in the ratio: