Answer:
Explanation:
Given
slit width 
wavelength of light 
Screen is placed at a distance of 
The angle for the first minima is given by

for m=1


and one half of central maxima is given by



Width of central maxima 
Answer:
(a)Work done and ΔE are negative
(b)Work done and ΔE are negative
(c)Work done and ΔE are positive
Explanation:
(a) When the two balls collide, the first billiard ball transfers its kinetic energy to the second ball which consequently starts rolling as the system ball comes to rest. Therefore, the decrease in internal energy takes places for both the system and energy transfer. Conclusively, Work done and ΔE are negative
(b) The drop of a book in this case system from a height transfers the potential energy to kinetic energy. Therefore, both the work is done by system on the floor and internal energy of the system decreases. In conclusion, Work done and ΔE are negative
(c) A father pushing daughter on swing which is system implies that he applied some force therefore transferring energy from the source to system. This means the internal energy of the system increases and so both the work done and ΔE are positive