The answer to each of the questions is a single digit integer ranging from 0 to 9.

The velocity of water waves (V) may depend on their wavelength l, the density of water r and the acceleration due to gravity, g.

5

        V = kl^ap^bg^c

        [M⁰LT^–1] = L^a (ML^–3)^b (LT^–2)^c = M^b L^a–3b+c T^–2c

        \ b = 0; a – 3b + c = 1

        –2c = –1 ® c = ½                       \ a =

        V µ l^1/2 p⁰ g^1/2             or     V² µ l g

        \ 2x + 3y = 5