Final answer:
The optical power required to correct for myopia when a person can only see objects beyond 1 m is not listed in the given choices. However, the closest estimated value based on the formula P = 1/(-0.30 m) would be approximately -3 diopters.
Step-by-step explanation:
A person can see objects placed beyond a distance of 1 m indicates that they have a form of nearsightedness, otherwise known as myopia. The optical power of the spectacles compensating for the defect of vision for this eye can be found using the formula:
P = 1/f
Where P is the optical power in diopters (D) and f is the focal length in meters (m). For myopic correction, the spectacle lens must produce an image 30.0 cm from the eye for an object very far away. Since objects at infinity have a focal point 30 cm in front of a myopic eye, the lens power needed is simply the reciprocal of this distance converted to meters:
P = 1/(-0.30 m) = -3.33 D
As the power of the lens needs to be negative to correct for myopia, option (d) +4 D is incorrect. The correct optical power to compensate for this person's myopia is not listed among the provided options. However, if we assume a slight approximation to the nearest integer diopter, the closest value would be -3.33 D, which is approximately -3 D after rounding.