**Core Concept**
Gonadotrophins, specifically follicle-stimulating hormone (FSH) and luteinizing hormone (LH), are hormones produced by the pituitary gland that regulate the reproductive cycle. In premenopausal women, gonadotrophin levels are tightly regulated by a negative feedback loop involving estrogen.

**Why the Correct Answer is Right**
After menopause, the ovaries stop producing estrogen, disrupting the negative feedback loop and leading to an increase in gonadotrophin levels. This is because the hypothalamus, responding to decreased estrogen levels, decreases its production of gonadotropin-releasing hormone (GnRH), which in turn leads to an increase in FSH and LH production by the pituitary gland. This increase in gonadotrophins is a hallmark of menopause.

**Why Each Wrong Option is Incorrect**
**Option A:** This option is incorrect because it does not accurately describe the physiological changes occurring after menopause.
**Option B:** This option is incorrect because it does not provide a clear explanation for the elevation of gonadotrophins after menopause.
**Option C:** This option is incorrect because it implies a decrease in gonadotrophin levels, which is not consistent with the physiological changes occurring after menopause.

**Clinical Pearl / High-Yield Fact**
It's essential to remember that the elevation of gonadotrophins after menopause is a physiological response to decreased estrogen levels, and it's not a pathological condition. This knowledge is crucial for differentiating between physiological and pathological causes of elevated gonadotrophins in postmenopausal women.

**Correct Answer: D.**