Correct option is (a) 0.0375 M
1:1 mixture by weight of H2 and He means if 4 g each of He and H2 are taken, 1 mole of He is present then number of moles of H2 will be 2.

According to Dalton's law of partial pressure pT = p1 + p2

Using, pT , total number of moles(n) can be found out T
1.26 = n x 0.0821 x 273
n = 0.0562
Number of moles of H2 = n2 = 2/3 x 0.0562 = 0.0375 mol
Volume = 1 L Therefore,
concentration of H2 = 0.0375 M