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We know that,
![escape \: velocity \: of \: earth \: = \sqrt{ \frac{2gm}{r} } escape \: velocity \: of \: earth \: = \sqrt{ \frac{2gm}{r} }](https://tex.z-dn.net/?f=escape+%5C%3A+velocity+%5C%3A+of+%5C%3A+earth+%5C%3A+%3D+%5Csqrt%7B+%5Cfrac%7B2gm%7D%7Br%7D+%7D+)
Now,
![escape \: velocity \: of \: planet = \sqrt{ \frac{2g(8m)}{2r} } escape \: velocity \: of \: planet = \sqrt{ \frac{2g(8m)}{2r} }](https://tex.z-dn.net/?f=escape+%5C%3A+velocity+%5C%3A+of+%5C%3A+planet+%3D+%5Csqrt%7B+%5Cfrac%7B2g%288m%29%7D%7B2r%7D+%7D+)
![escape \: velocity \: of \: planet = \sqrt{ \frac{(4)2gm}{r} } escape \: velocity \: of \: planet = \sqrt{ \frac{(4)2gm}{r} }](https://tex.z-dn.net/?f=escape+%5C%3A+velocity+%5C%3A+of+%5C%3A+planet+%3D+%5Csqrt%7B+%5Cfrac%7B%284%292gm%7D%7Br%7D+%7D+)
![escape \: velocity \: of \: planet = 2\sqrt{\frac{2gm}{r} } escape \: velocity \: of \: planet = 2\sqrt{\frac{2gm}{r} }](https://tex.z-dn.net/?f=escape+%5C%3A+velocity+%5C%3A+of+%5C%3A+planet+%3D+2%5Csqrt%7B%5Cfrac%7B2gm%7D%7Br%7D+%7D+)
![escape \: velocity \: of \: planet escape \: velocity \: of \: planet](https://tex.z-dn.net/?f=escape+%5C%3A+velocity+%5C%3A+of+%5C%3A+planet+)
Now,
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