find the mole fraction of 10g/l aquous solution H2So4 having density 0.01 g/ml

Answer 1

Surely you don't mean 0.01 g/mL density. I might believe 1.01. Steps to follow after you know the density.
mass solution = 1000 mL x density = ?
mass solution - 10 g H2SO4 = ? g H2O

Then mols H2SO4 = 10/molar mass = ?
mols H2O = grams/molar mass = ?

XH2SO4 = mols H2SO4/total mols
XH2O = mols H2O/total mols.