To determine the day of the week for Rachit's birthday, we need to use a concept called "Zeller's Congruence." This formula allows us to calculate the day of the week for any given date.

Zeller's Congruence Formula:
\[ h = (q + [(13(m + 1))/5] + K + [(K/4)] + [(J/4)] + 5J) mod 7 \]

Where:
- h is the day of the week (0 = Saturday, 1 = Sunday, 2 = Monday, ..., 6 = Friday)
- q is the day of the month
- m is the month (3 = March, 4 = April, ..., 12 = December for the Gregorian calendar)
- K is the year of the century (year % 100)
- J is the zero-based century (actually ⌊ year/100 ⌋)

Now let's apply this formula to find the day of the week for Rachit's birthday.
- Rachit's birthday is on November 17th, so q = 17 and m = 11.
- To find K and J, we need to know the year. However, the year is not mentioned in the question. Therefore, we cannot determine the exact day of the week for Rachit's birthday without the year.

However, we can make an assumption and proceed with the calculation using a hypothetical year. Let's assume the year is the same as Bhavin's birthday, 2023.
- For the year 2023, K = 23 and J = 20 (⌊ 2023/100 ⌋ = 20).
- Plugging these values into the formula, we get:
\[ h = (17 + [(13(11 + 1))/5] + 23 + [(23/4)] + [(20/4)] + 5*20) mod 7 \]

Simplifying this equation, we get:
\[ h = (17 + 156/5 + 23 + 5 + 5 + 100) mod 7 \]
\[ h = (17 + 31.2 + 23 + 5 + 5 + 100) mod 7 \]
\[ h = (181.2) mod 7 \]
\[ h ≈ 1 \]

Therefore, if Rachit's birthday is on November 17th, in the same year as Bhavin's birthday (2023), it would fall on a Sunday (h = 1). However, please note that this calculation is based on the assumption of the year being 2023. If the actual year is different, the result may vary.