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One end of uniform wire of length L and ...

One end of uniform wire of length L and of weight W is attached rigidly to a point in the roof and a weight N is suspended from its lower end if s is the area of cross-section of the wire the stress in the wire at a height `(L)/(4)` from its lower end is

A

`(W_(1))/(s)`

B

`([W_(1)+(W)/(4)])/(s)`

C

`([W_(1)+(3W)/(4)])/(s)`

D

`(W_(1)+W)/(4)`

Text Solution

Verified by Experts

The correct Answer is:
B
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Knowledge Check

  • A wire is suspended from the ceiling and stretched under the action of a weight F suspended from its other end. The force exerted by the ceiling on it is equal and opposite to the weight.

    A
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    B
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    Tension at any cross section A of the wire is F.
  • The Young's modulus of steel is twice that of brass. Two wires of same length and of same area of cross section, one of steel and another of brass are suspended from the same roof. If we want the lower ends of the wires to be at the same level, then the weights added to the steel and brass wires must be in the ratio of:

    A
    `1:1`
    B
    `1:2`
    C
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    D
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