Design a pda to accept each of the following languages. you may accept either by final state or by empty stack, whichever is more convenient.
a) { 0n1n | n ≥ 1 }
b) the set of all strings of 0’s and 1’s such that no prefix has more 1’s than 0’s.
c) the set of all strings of 0’s and 1’s with an equal number of 0’s and 1’s.

Air flows over a heated plate àt a velocity of 50m/s. the local skin factor coefficient at a point on a plate is 0.004. estimate the local heat transfer coefficient at this point.the following property data for air are given: density = 0.88kg/m3 , viscosity 2.286 x 10 ^-5 kgm/s , k = 0.035w/mk ,cp = 1.001kj/kgk. use colburn reynolds analogy.