If the screen is moved away from the plane of the slits in a Young's double slit experiment, then the

In Young's double slit experiment the linear fringe width is given by the expression, 

$\mathrm{\beta }=\frac{\mathrm{\lambda D}}{\mathrm{d}}.$
where λ is the wavelength of light used, d is separation between the slits, and D is the distance between slit and the screen.
Whereas, angular fringe width is given by, 

$\mathrm{\omega }=\frac{\mathrm{\beta }}{\mathrm{D}}=\frac{\mathrm{\lambda }}{\mathrm{d}}$
In the problem, D is increased.
So, $\beta =\frac{\lambda D}{d}$ also increases.
But $\omega =\frac{\lambda }{d}$ remain same.