Step-by-step explanation:
It is given that,
Length of the simple pendulum, l = 36.9 cm = 0.369 m
If it takes 14.2 s to complete 10 oscillations,

(a) The time period of the simple pendulum is given by :




(b) On the surface of moon,

At earth,


As the value of g is less on the moon, so the time period on the moon increases.
(c) The time period on the earth, T = 3 s
On earth,
..............(1)
On moon,

..............(2)
On solving equation (1) and (2),
T' = 18.03 s
Hence, this is the required solution.