Question

Jack and Jill are fiercely competitive siblings, and since they were born exactly a year apart, can compete in most everything. Jill, the younger, always resented her older brother for being just that: older. When they got older, Jack resented Jill's youthful advantage of one year. Imagine that Jack builds himself a high-tech spaceship and races off into space, knowing that he can at least slow down his aging. If he were gone for one year according to Jill, which of the following statements could be or are true?

I. There is no possible way for Jack to be the same age as Jill.
II. Jack and Jill are now the same age.
III. Jack is older than Jill.
IV. During the outbound trip Jill believes that Jack's clock is ticking faster than her own.
V. During the outbound trip Jill believes that Jack's clock is ticking slower than her own.
a. II, IV
b. I, III, IV
c. II, V
d. I, IV
e. I, III, V

Answer 1

c. II, V

Step-by-step explanation:

According to Special theory of relativity , for fast moving frame of reference , the motion of time becomes slow . So a man may become younger than his actual age according to his perception .

Since Jac has gone on a fast moving trip , his clock may become slower and he may become younger by one year according to him . In this way he may be be of the same age as that of his younger sister Jill. So option II and V are correct.