Apendulum and a block hanging at the end of a spring are both carefully adjusted to make one vibration per second while on the earth's surface. will the period of vibration of the pendulum or of the block on a spring be affected if they are moved to the moon?

For  the pendulum , yes and for the spring ,No

Explanation:

We will examine the two cases,

For pendulum;

we see that for a pendulum, the period depends on the gravitational acceleration of the region it is. so the period for earth will differ compared to that of the moon.

For a spring;

form the equation above is obvious that the period of a spring in vibration is independent of gravitational acceleration of the region it is.