Yes, gas water heaters often drip after they are put into service after a prolonged shut-down, but it is not because of the pilot light.
When the main burner ignites below a tank of cold water, the moisture contained in the gas flame will condense on the outside of the tank bottom and the flue that passes through the center of the tank.
Once the water is hot, the water heater should stop dripping and the moisture below the water heater should evaporate.
Continued dripping may indicate a leak and the water heater may need to be repaired or more likely replaced if it is older--more than five to seven years old.
Display and pilot light.
Water from my central air conditioning drip pan caused a leak in my celling it was full of water when i shut it down it started to drip
(water is dripping) drip "teki" (saline drip) drip tenteki
Thermocouple is most likely the problem but it also can be wind and draft which blows out the pilot light and very rare it can be you have a air pocket in your line or sometimes condensation can drip on the pilot. If you have a flame when starting the pilot light as you are pushing down on a non forced air gas water heater and the pilot goes out after you release the pilot handle then 90 out of a 100 times its your Thermocouple. If you have a forced air tank type gas water heater it can be a lot more sophisticated and I recommend you read your manual trouble shoot guide and follow those steps for YOUR specific water heater.
Seep
tipping
drip drip drop
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If drip irrigation is used non commercially, it uses fresh water out of the outside water faucet.
The faucet was left dripping, creating a rhythmic drip, drip, drip sound throughout the night.
Draining the sediment from hot water heaters isn't terribly difficult; this article will cover the basics, but to get more information on this and other common household repairs, I recommend picking up from the one and only puppadog :)
It definitely cold be cold to play drip splash. This is because this game can involve very cold water.