Acertain wire stretches 0.90 cm when outward forces with magnitude f are applied to each end. the same forces are applied to a wire of the same material but with three times the diameter and three times the length. the second wire stretches
a. 3 cm
b. 1 cm
c. 2.7 cm
d. 9 cm

Option A

Step-by-step explanation:

Given -

Length to which a wire stretches when outward forces with magnitude F are applied to each end cm

Let the length of first wire

Let the diameter of first wire

The dimension of the second wire is equal to

We know that

strain

and strain

Putting the above two equations together, we get -

For wire 1,

---------Eq(1)

For wire 2,

---------Eq(1)

Dividing equation 1 by equation 2, we get

cm

Hence, option A is correct

When the same forces are applied to a wire of the same material but with three times the diameter and three times the length of the first wire then the second wire stretches 3 cm.

Given :

Let the length of the first wire be 'L' and the diameter be 'D'. Then the length and diameter of the second wire will be:

L' = 3L

D' = 3D

The formula of strain is given by:

So, for the first wire :

  ---- (1)

For the second wire:

  ----- (2)

Now, divide equation (1) by equation (2).

Simplify the above equation.

Therefore, the correct option is A) 3 cm.

For more information, refer to the link given below:

link

“ a line segment that has the endpoints on the circle and passes through the midpoint is called the diameter. the diameter is twice the size of the radius. a line segment that has its endpoints on the circular border but does not pass through the midpoint is called a chord. a circle is the same as 360 small circle up the number 0 . i hope this .