a 5 cm candle is placed 20 cm away from a concave mirror with a focal length of 10 cm what is the image distance of the candle
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HESI A2

HESI A2 Physics

1. A 5-cm candle is placed 20 cm away from a concave mirror with a focal length of 10 cm. What is the image distance of the candle?

Correct answer: C

Rationale: To find the image distance of the candle, we use the mirror formula: 1/f = 1/do + 1/di, where f is the focal length, do is the object distance, and di is the image distance. In this case, the focal length f = 10 cm and the object distance do = 20 cm. Substituting these values into the formula gives us 1/10 = 1/20 + 1/di. Solving for di, we get di = 60 cm. Therefore, the image distance of the candle is 60 cm. Choice A (20 cm) is incorrect because it represents the object distance, not the image distance. Choice B (40 cm) is incorrect as it does not consider the mirror formula calculation. Choice D (75 cm) is incorrect as it does not match the correct calculation based on the mirror formula.

2. What is the name of the bone in the human thigh?

Correct answer: B

Rationale: The correct answer is B. Femur. The femur, also known as the thigh bone, is located in the human thigh. It is the longest and strongest bone in the human body, extending from the hip to the knee. The ulna, radius, and humerus, on the other hand, are bones found in the arm. Therefore, choices A, C, and D are incorrect as they are bones of the arm, not the thigh.

3. What is another word for AEGIS?

Correct answer: B

Rationale: AEGIS is synonymous with protection, sponsorship, or support. Respectability aligns with this notion as it relates to being socially acceptable or esteemed, which can be seen as a form of protection or favorable regard. 'Relationship' (Choice A) does not capture the protective or supportive aspect of AEGIS. 'Ramifications' (Choice C) and 'Responsibility' (Choice D) are not synonyms for AEGIS. They do not convey the sense of protection or support associated with it.

4. Select the word or phrase that makes the following sentence grammatically correct. If Angela attends the seminar tomorrow, she ___________ the employee discount.

Correct answer: D

Rationale: The correct answer is 'D: will be given.' In the sentence, the future passive voice is needed to convey that Angela will receive the employee discount if she attends the seminar. 'Will be given' is the appropriate phrase to express this passive construction. Choices A, B, and C are incorrect as they do not form the correct future passive structure required in the sentence.

5. Dogs are part of a larger animal group, the Carnivora. What classification is this?

Correct answer: C

Rationale: The classification 'Carnivora' refers to an order in the taxonomic hierarchy. In the Linnaean classification system, the order comes below the class but above the family level. Therefore, Carnivora is a higher classification that includes dog species as well as other carnivorous mammals like cats, bears, and weasels. Option A (Kingdom) is too broad and refers to the highest taxonomic rank. Option B (Class) is a lower taxonomic rank than order. Option D (Genus) is a much more specific rank that comes below the family level in the Linnaean hierarchy.

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