A planet is discovered orbiting the star 51 Peg with a period of four days (0.01 years). 51 Peg has the same mass as the Sun. Mercury's orbital period is 0.24 years, and Venus's is 0.62 years.
The average orbital radius of this planet is:

a) less than Mercury's.
b) between Mercury's and Venus's.
c) greater than Venus's.

a) less than Mercury's.

Explanation:

For orbital time period  of a planet  , the expression is

T² = 4π² R³ / GM

T is time period , R is radius of orbit , G is universal gravitational constant , M is mass of the star or sun

T² ∝ R³

As radius of orbit increases , time period increases . The given planet is making around a star whose mass is equal that  of  sun so M is same as sun .

The given planet has time period equal to .01 years which is less than that of Mercury and Venus , hence its R will be less than orbit of both of them or less than mercury's .

this is an example of "committed" time.

committed time, as contracted time, takes need over essential and available time since it is seen as profitable work. it alludes to the time allotted to keep up a home and family. at the point when a man is commuting using committed time this individual may feel that the drive is an obligation to family, for example, strolling youngsters to class or driving a mate to work. contracted and committed time clients may feel that their commute could really compare to the commute of important or leisure time clients on the grounds that their commute is profitable work. in this manner, they might be more disposed to pick a mechanized method of movement.