Correct Answer - Option 1 :
70% due to Moon and 30% due to Sun
Concept:
Tidal forces are based on the gravitational attractive force.
The tidal forces are due to sun and moon and the force is proportional to
\(F \propto \frac{M}{{{r^3}}}\)
Force due to moon is given by
\({F_m} = k\frac{{7.3\; \times \;{{10}^{19}}\;metric\;ton}}{{{{\left( {384835\;km} \right)}^3}}} = 1886k\)
Force due to sun is given by
\({F_s} = k\frac{{2\; \times\; {{10}^{27}}\;metric\;ton}}{{{{\left( {149785000\;km} \right)}^3}}} = 595k\)
Percentage of sun = \(\frac{{595}}{{595\; + \;1280}} \times 100 = 31.73\%\)
Percentage of Moon = \(\frac{{1280}}{{595\; + \;1280}} \times 100 = 68.26\;\%\)
Nearest option is 70% due to Moon and 30% due to Sun
