a 5 cm candle is placed 20 cm away from a concave mirror with a focal length of 15 cm about what is the image height of the candle in the mirror
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HESI A2

HESI Exams Quizlet Physics

1. A 5-cm candle is placed 20 cm away from a concave mirror with a focal length of 15 cm. About what is the image height of the candle in the mirror?

Correct answer: B

Rationale: The magnification formula for a mirror is given by M = -f / (f - d), where f is the focal length of the mirror, and d is the object distance from the mirror. Using the mirror equation and magnification formula, the image height is found to be negative because it is inverted. Plugging in the values (f = 15 cm, d = 20 cm) into the formula gives M = -15 / (15 - 20) = -15 / -5 = 3. The negative sign indicates that the image is inverted. The image height is then calculated by multiplying the magnification by the object height: 3 * 5 cm = 15 cm. Therefore, the correct image height is approximately -15 cm. Choice A (30.5 cm) and Choice D (-30.5 cm) are incorrect as they do not consider the inversion of the image. Choice C (-15 cm) is also incorrect because it neglects the negative sign, which indicates the inversion of the image.

2. A female ran a 24-mile course. Her first 6 miles she ran in 1 hour. The second set of 6 miles in 1.2 hours. The third set of 6 miles in 1.5 hours. The fourth set of 6 miles in 1.6 hours. How long did it take her to complete the course?

Correct answer: B

Rationale: To find the total time, add the times for each set of 6 miles: 1 + 1.2 + 1.5 + 1.6 = 5.3 hours. Therefore, it took her 5.3 hours to complete the 24-mile course. Choice A, 5 hours, is incorrect because the total time is slightly more than that. Choice C, 4 hours, is incorrect as it doesn't account for the total time taken. Choice D, 6 hours, is incorrect as it's an overestimation of the actual time taken.

3. What does the quoted word 'fundamental' mean in the following sentence?

Correct answer: D

Rationale: The correct answer is 'D: Basic.' In this context, 'fundamental' means basic or essential, referring to the core or foundational dissimilarity between the two medications. Choice A, 'Appropriate,' is incorrect as it does not reflect the meaning of 'fundamental' in this sentence. Choice B, 'Underlying,' is incorrect because although it is related, it does not capture the primary or essential nature of the difference being discussed. Choice C, 'Dosage,' is unrelated to the meaning of 'fundamental' and does not align with the context of the sentence.

4. Ocean waves may tear sponges into pieces, each of which may grow into a new sponge. What is this form of reproduction called?

Correct answer: D

Rationale: Fragmentation is the form of asexual reproduction where an organism breaks into fragments, and each fragment can grow into a new individual. In the case of sponges being torn into pieces by ocean waves, each piece has the potential to develop into a new sponge, making fragmentation the correct answer in this scenario. Budding is a form of asexual reproduction where a new organism develops as an outgrowth from the parent organism. Vegetative propagation involves the growth of new individuals from plant parts like stems or roots. Binary fission is a method of reproduction seen in some single-celled organisms where one cell divides into two identical cells.

5. Which word is not spelled correctly in the context of the sentence? Unfortunately, her absences were becoming a regular occurrence.

Correct answer: D

Rationale: The word 'ocurrence' is spelled incorrectly. The correct spelling is 'occurrence.' In this context, 'occurrence' refers to something happening or taking place, making it the appropriate term for the sentence. Choice A, 'Unfortunately,' is spelled correctly. Choice B, 'absences,' is spelled correctly. Choice C, 'regular,' is spelled correctly. Therefore, the incorrect spelling in the sentence is 'occurrence,' making it the right answer.

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