Hindi · Pronunciation Guide
bohr — a plain b, a motionless long o, and one quick flick of the tongue tip.
bor
The vowel holds the entire syllable and the tap adds nothing. English speakers hear their own word "bore" and give the r as much time as the vowel, which roughly doubles the syllable's apparent length.
Listen: बोर
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मैं बहुत बोर हो रहा हूँ।
Maiṁ bahut bor ho rahaa hooṁ.
I am very bored.
Listen: मैं बहुत बोर हो रहा हूँ।
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"Maiṁ bahut bor ho rahaa hooṁ" uses bor with ho rahaa hooṁ rather than any inflected form, because the loanword functions as a fixed predicate. Bahut before it contracts heavily in speech, so bor stands out.
The English word supplies a diphthongised vowel and a long rhotic. Freeze the lips through the vowel and touch the ridge once at the end. Adding breathiness to the b would also move it into the भ series, which is a distinct letter.