Adjective : - An adjective is a word that generally modifies a noun or noun phrase or describes its referent. Its semantic role is to change information given by the noun.

Adjective of Quality : - It  shows the kind or quality of a person or thing . It is a type of adjective that indicates the kind or quality of something. In simple language, the adjective of quality defines the color, shape, and size of a noun. It can be anything, a person, animal, place, or thing.

Example : - Kolkata is a large city. Here , large is an adjective of quality as it shows the quality of a city that it is large .

In the question : -

1. Mom's busy schedule doesn't allow her much time to enjoy a quiet afternoon alone. In this sentence , busy and quiet is an adjective of quality as it states the feature that mom's schedule is busy and her schedule doesn't allow her to enjoy a quiet afternoon meal.

2. A lonely leaf floated down from the empty branches of the oak and settled on the ground. In this sentence , lonely and empty is an adjective of quality as it states that the leaf are lonely and floated from the branches that are empty .

Thus , the Correct Option is B , which is  Busy , Quiet , Lonely , Empty .

Adjective :- Adjective are words or group of words that describes people, places or things. for example :- This is a tasty apple. In this example tasty is an adjective which tells us the quality of apple.

Adjective of Quality : - An adjective which is used in the sentence to express the size, shape, and color of a person, thing, animal, or place An adjective which is used in the sentence to express the size, shape, and color of a person, thing, animal, or place . some words related to this are : beautiful , large , wise , honest , foolish etc .

Example : - Nina’s hair is very shining and smooth. Here , shining and smooth is an adjective of quality as it shows the quality of Nina 's hair that it is shining and smooth . 

Rules to remember adjective of quality : -

1. When two adjectives qualify the same noun , both the adjectives should be expressed in the same degree . For example

(i) She is the most active and energetic social worker in our club .

(ii) She is both cleverer and intelligent than her sister .

2. The order of adjectives qualifying a noun ( S S A C N M)

Size Shape Age Colour Nationality Material Noun

In the question : -

My sister is always __________________ in the morning. she gets angry at the slightest thing. In this sentence , Bad-tempered is the correct adjective of quality that can be placed in the blank part as it is used to show the quality of my sister that she is Bad-tempered .

Thus , the Correct Option is B , which is Bad-tempered .

Adjective : - Adjectives are words that describe the qualities or states of being of nouns: enormous, doglike, silly, yellow, fun, fast. They can also describe the quantity of nouns: many, few, millions, eleven.

Adjective of Quality : - Adjectives of quality refer to the kind, degree, or quality of something. Sometimes, adjectives of quality are called descriptive adjectives.

Example : - The greasy fries were just what I needed after a long, hot workout. Here , greasy , long , hot is an adjective of quality as it refers to the quality of fries that it were greasy hot and long .

In the question : -

1.  I don't want the blue shirt; instead, I want the red one. In this sentence , blue and red is an adjective of quality as it states the quality of shirts .

2. Could you help me with all of this dirty laundry ? In this sentence , dirty is an adjective of quality as it states the quality of a laundry that it is dirty .

3. Even though the room was messy, the children were content to play for hours. In this sentence , messy and content is an adjective of quality as it states the quality of room that it is messy . so , children were content to play for hours .

Thus , the Correct Option is C , which is blue , red , dirty , messy , content .