Home
Class 12
PHYSICS
An iron rod B of length 1 m and mass 1 k...

An iron rod B of length 1 m and mass 1 kg is suspended with help of two wires as shwon in figure. The area of cross-section of iron wire is 0.3 `cm^(2)` and of copper wire is `0.6cm^(2)`.

At what distance from iron wire a weight can be hung to produce equal stress in wires?

A

a. 0.82 m

B

b. 0.38 m

C

c. 0.67 m

D

d. 0.47 m

Text Solution

Verified by Experts

The correct Answer is:
C
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - E)|2 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - F)|2 Videos
  • MECHANICAL PROPERTIES OF SOLIDS

    AAKASH INSTITUTE ENGLISH|Exercise Assignment (SECTION - C)|2 Videos
  • MECHANICAL PROPERTIES OF FLUIDS

    AAKASH INSTITUTE ENGLISH|Exercise SECTION - J|9 Videos
  • Mock test 03

    AAKASH INSTITUTE ENGLISH|Exercise EXAMPLE|44 Videos

Similar Questions

Explore conceptually related problems

An iron rod B of length 1 m and mass 1 kg is suspended with help of two wires as shwon in figure. The area of cross-section of iron wire is 0.3 cm^(2) and of copper wire is 0.6cm^(2) . In the above question, if Y_("iron"):Y_(Cu)=2:1 , then the ratio of elastics energy per unit volume stored in iron wire to copper wire is

Two blocks of masses 1 kg and 2 kg are suspended with the help of two wires having same area of cross section. If the ratio of Young's moduli i.e., Y_(1):Y_(2)=1:2 , then the ratio of extensions produced in wires is

Knowledge Check

  • A light rod of length 2 m is suspended from ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 0.1 cm sq. and the other of brass of cross-section 0.2 cm sq. Along the rod at what distance a weight may be hung to produce equal stresses in the wires? (Y_("Steel") = 2 xx 10^(11) Nm^(-2), Y_("Bass") = 1 xx 10^(11) Nm^(-2))

    A
    `(4)/(3)m` from steel wire
    B
    `(4)/(3)m` from brass wire
    C
    1 m from steel wire
    D
    `(1)/(4)m` from brass wire
  • Similar Questions

    Explore conceptually related problems

    A light rod AC of length 2.00 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross-section 10^(-3) m^(2) and the other is of brass of cross-section 2xx10^(-3) m^(2) . The position of point D from end A along the rod at which a weight may be hung to produce equal stress in both the wires is [Young's modulus of steel is 2xx10^(11) Nm^(2) and for brass is 1xx10^(11) Nm^(-2) ]

    A point mass m is suspended usin two wires of different material as shown in the figure. If corss-section of wire-1 and sore-2 are 3mm ^(2) and sqrt(3) mm^(2) respectively, which of the following is correct?

    A rod of length 1.05 m having negliaible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in fig. The cross-sectional area of wire A and B are 1 mm^(2) and 2 mm^(2) , respectively . At what point along the rod should a mass m be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires. Given, Y_(steel) = 2 xx 10^(11) Nm^(-2) and Y-(alumi n i um) = 7.0 xx 10^(10)N^(-2)

    A rod of length 1.05 m having negliaible mass is supported at its ends by two wires of steel (wire A) and aluminium (wire B) of equal lengths as shown in fig. The cross-sectional area of wire A and B are 1 mm^(2) and 2 mm^(2) , respectively . At what point along the rod should a mass m be suspended in order to produce (a) equal stresses and (b) equal strains in both steel and aluminium wires. Given, Y_(steel) = 2 xx 10^(11) Nm^(-2) and Y-(alumi n i um) = 7.0 xx 10^(10)N^(-2)

    A light rod of length 2 m is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its ends. One of the wires is made of steel and is of cross section 0.1 cm^(2) . The other wire is a brass of cross section 0.2 cm^(2) . A weight is suspended from a certain point of the rod such that equal stress are produced in both the wires. Which of the following are correct?

    A block of mass M is suspended from a wire of length L, area of cross-section A and Young's modulus Y. The elastic potential energy stored in the wire is

    The two wires shown in figure are made of the same material which has a breaking stress of 8xx10^8Nm^-2 . The area of cross section of the upper wire is 0.006 cm^2 and that of the lower wire is 0.003 cm^2 . The mass m_1=10 kg , m_2=20kg and the hanger is light. a. Find the maximum load that can be put on the hanger without breaking a wire. Which wire will break first if the load is increased? b. Repeat the above part m_1=10 kg and m_2=36kg .