A mass of $6 \times {10^{24}}kg$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $3 \times {10^8}m\,/s$. Radius of the sphere should be $(G = 6.67 \times {10^{ - 11}}N - {m^2}/k{g^2})$
A mass of $6 \times {10^{24}}kg$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $3 \times {10^8}m\,/s$. Radius of the sphere should be $(G = 6.67 \times {10^{ - 11}}N - {m^2}/k{g^2})$
$9\, km$
$9\, m$
$9\, cm$
$9\, mm$
A mass of $6 \times {10^{24}}kg$ is to be compressed in a sphere in such a way that the escape velocity from the sphere is $3 \times {10^8}m\,/s$. Radius of the sphere should be $(G = 6.67 \times {10^{ - 11}}N - {m^2}/k{g^2})$
${v_e} = \sqrt {\frac{{2GM}}{R}} = \sqrt {\frac{{2 \times 6.67 \times {{10}^{ - 11}} \times 6 \times {{10}^{24}}}}{R}} $$ = 3 \times {10^8}$
By solving $R = 9\,\,mm$
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