Monochromatic light from narrow slits produce a interference pattern of fridge width $\beta$ , for a certain slit separation. When the slit separation is doubled and distance between screen and slit distance between screen and slit is made $\large\frac{1}{3}$ rd the fringe width

Question

$(a)\;becomes \; 6\;times \\ (b)\;becomes \; \frac{1}{6} th\;times \\ (c)\;becomes \; 3\;times \\ (d)\;becomes \; \frac{1}{3} rd\;times$