Frieza, in his first form, can destroy planets easily enough.
Fourth form received a 100x boost on screen.
So fourth form should be able to destroy planets at the size of earth without a problem, I'd say full physical planets at the size of uranus, about 64 times bigger than earth, like he did to vegeta.
Planets around the size of jupiter, however, are around 1317 times bigger than earth. So for one-shotting it, frieza will definitely need to go full-output.
Jupiter itself? It's a gas giant, I'm not sure about this, but it should be easier to blow up than completely rocky planets.
Going by that, I'd put frieza's maximum one shotting power to round 6.
So he should destroy a jupiter sized planet in 1-100 hits.
Now, even assuming he can fire hundred of them we reach the sun. There is no possible way for frieza to get around this.
Sun is at a temperature ranging from 5000 k to fifteen million k at core. This leads to exceptionally huge amount of energy released continuously, due to the reactions going around. It's mass is over 1000 times than jupiter, and volume is around 1000 times as well. There's no way frieza would be able to destroy something that size, with that much energy, howmuchever he hits.
Solar system is impossible for him.
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