A star may culminate at zenith if its declination is A. Greater than the longitude of the place B. Less than the latitude of the place C. Equal to the latitude of the place D. None of these

Greater than the longitude of the place
Less than the latitude of the place
Equal to the latitude of the place
None of these

The correct answer is: C. Equal to the latitude of the place.

A star culminates at zenith when it is directly overhead. This happens when the star’s declination is equal to the observer’s latitude. The declination of a star is its angular distance north or south of the celestial equator. The latitude of a place is its angular distance north or south of the Earth’s equator.

For example, if you are standing at a latitude of 30 degrees north, then a star with a declination of 30 degrees will culminate at zenith.

Options A and B are incorrect because the declination of a star cannot be greater than the longitude of a place. The longitude of a place is its angular distance east or west of the Prime Meridian. The declination of a star is its angular distance north or south of the celestial equator. The two are not related.

Option D is incorrect because a star can culminate at zenith if its declination is equal to the latitude of the place.

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