Acertain type of flower has two alleles for color (blue, purple), and two alleles for stem height (tall, short). a tall blue flower and a short purple flower are crossed, resulting in tall blue flowers, short blue flowers, tall purple flowers, and short purple flowers.
what law does this example to prove?

a) law of segregation
b) law of independent assortment
c) law of multiple alleles
d) law of genetic inheritance

b) Law of Independent Assortment

Explanation:

The example given in the question is about Mendel's 'Law of Independent Assortment'. The law states that the alleles of two genes seperated into gametes independent of each other. The allele received for one gene received in the gamete does not influence the allele received for another gene.

In the given question two traits being studied, the traits are flower color and stem height.  This is an example of Mendel’s dihybrid cross.

As per the question given  According to the question blue flower (P) and tall stem (T) are dominant traits because all F1 progeny were with tall blue flowers.  

When heterozygous tall blue flowered (TtPp) F1 progeny were crossed, four different types of plants were produced phenotypically in the ratio 9:3:3:1.

Out of 16 offspring, 9 were tall blue flower, 3 were short blue flowered, 3 tall purple flowered and 1 was shot purple flower.  

b is the correct answer