That's the definition of local noon, everywhere. In "standard" time zones, near the middle.
equator
There will be no shadow because the sun will be directly over your head on the equator at 12 noon.
This is typically referred to as solar noon, when the sun is at its highest point in the sky. It happens halfway between sunrise and sunset. At solar noon, shadows appear shortest because the sun is directly overhead.
Starting about noon the sun is almost directly over head in most deserts so it is at its strongest intensity.
Because the clocks across the whole of India are based on when the sun is overhead in Delhi. You are West of Delhi and so when the sun is overhead in Jaipur, it has already passed its overhead / noon position in Delhi.
You might be anywhere along the Tropic of Cancer, where the latitude is 23.44 degrees north.
it is shortest at noon when the sun is directly over you
Noon, pending on latitude and longitudinal location. EDIT: Noon is kind of a misconception. Typically the hottest hour of the day is 3pm. This is due to water vapor charging up with heat and finally radiating with the sunlight. Noon is merely when the sun is the most directly over head.
Solar noon is the time when the Sun appears to contact the local celestial meridian. This is when the Sun apparently reaches its highest point in the sky, at 12 noon apparent solar time and can be observed using a sundial. The local or clock time of solar noon depends on the longitude and date.
In noon near the equator, the sun is high in the sky.
The sun is directly over the Tropic of Cancer on the Summer Solstice.
Probably at noon when the sun is directly over you unless it is a cloudy day. 10-2