Hi, you likely do need to upgrade, yet it's probably not possible.
Open Java Preferences in Applications>Utilities>Java, do you see these versions...
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So we know more about it...
At the Apple Icon at top left>About this Mac, then click on More Info, then click on Hardware> and report this upto but not including the Serial#...
Hardware Overview:
Model Name: eMac
Model Identifier: PowerMac6,4
Processor Name: PowerPC G4 (1.2)
Processor Speed: 1.42 GHz
Number Of CPUs: 1
L2 Cache (per CPU): 512 KB
Tiger Os X 10.4 Download
Memory: 2 GB
Bus Speed: 167 MHz
Boot ROM Version: 4.9.2f1
Java Download For Mac Os X 10.4 11
Jan 30, 2012 6:42 PM