Answer:
The correct option is 'c': It stays same.
Explanation:
The focal length of any lens is obtained by using lens maker's formula as follows
[tex]\frac{1}{f}=(\frac{n_{2}}{n_{2}}-1)(\frac{1}{R_{1}}-\frac{1}{R_{2}})[/tex]
where
[tex]n_{2}[/tex] is the refractive index of the material of lens
[tex]n_{1}[/tex] is the refractive index of the medium surrounding the lens
[tex]R_{1},R_{2}[/tex] are the radii of the 2 surfaces of the lens.
As we see that in the formula the focal length of the lens only depends on the refractive indexes and the radius of the lens thus we conclude that the focal length of the lens is independent on the position of object or image.