Question

Two bars a and B are equal length by b has an area of of the top of a and b as young modulus double that of B when yellow is applied to the 2 bars the ratio of deformation between a and b is

Answer 1

Answer:

Correct option is

A

16

Using

Y=

△L/L

F/A

Y=

△L

1

/L

1

F/△

1

−(1)For bar A

Y=

△L

2

/L

2

F/△

2

−(2)For bar B

Volume is same for A and B

So,R(

2

d

1

)

2

L

1

=R(

2

d

2

)

2

L

2

d

1

2

L

1

=4d

1

2

L

2

(givend

1

=

2

1

d

2

)

L

2

L

1

=4

Dividing 1 and 2

1=

L

2

△L

1

A

1

L

1

△L

2

A

2

△L

2

△L

1

=4×4(∵

A

1

A

2

=(

d

1

d

2

)

2

=4)

△L

2

△L

1

=16