$A$ heterozygous purple flower is crossed with a recessive white flower. What is the ratio of the progeny?

When a homozygous tall plant is crossed with a homozygous dwarf plant,what is the percentage of dwarf progeny obtained in the $F_1$ generation by Mendel (in $\%$)?

In the case of $PTC$ tasters and non-tasters in humans,$T$ represents the dominant allele and $t$ represents the recessive allele. Which of the following genotypes is unable to taste $PTC$?

In Mendel's experiments,the nature of seed coat,flower colour,position of flower,pod colour,stem height,etc.,are referred to as:

Mating of an organism to a double recessive in order to determine whether it is homozygous or heterozygous for a character under consideration is called

Given below are two statements:
Statement $I$: Back cross is the crossing of $F_1$ hybrid with one of the two parents from which they were derived.
Statement $II$: Test cross involves the crossing of $F_1$ hybrid with its homozygous recessive parent.
In light of the above statements,choose the correct answer from the options given below.