what is the relationship between the speed of a wave its frequency and wavelength in a given medium
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ATI TEAS 7

TEAS 7 science practice

1. What is the relationship between the speed of a wave, its frequency, and wavelength in a given medium?

Correct answer: A

Rationale: The speed of a wave in a given medium is determined by the product of its frequency and wavelength. This relationship is described by the formula: Speed = Frequency × Wavelength. When a wave travels through a medium, the speed at which it propagates is directly proportional to both its frequency and wavelength. Therefore, to calculate the speed of the wave, you multiply the frequency of the wave by its wavelength. Choices B, C, and D are incorrect because speed is not determined by division, addition, or subtraction of frequency and wavelength; instead, it is determined by their multiplication in the given medium.

2. Which of the following properties is NOT characteristic of a covalent bond?

Correct answer: B

Rationale: Covalent bonds are formed by the sharing of electrons between atoms, leading to the formation of molecules with directional bonding. This means that the atoms are held together in a specific orientation. Covalent compounds generally exhibit low melting and boiling points compared to ionic compounds due to the weaker intermolecular forces present in covalent compounds. Furthermore, covalent compounds do not conduct electricity in the solid state because the electrons are localized between the atoms and are not free to move and carry charge. Hence, high melting and boiling points are not characteristic of covalent bonds. The correct answer is 'B' because high melting and boiling points are typically associated with ionic compounds due to their strong electrostatic interactions, while covalent compounds have lower melting and boiling points. Choices A, C, and D are all characteristics of covalent bonds, making them incorrect answers for this question.

3. Which of the following statements is FALSE?

Correct answer: B

Rationale: The statement provided in Option B is FALSE. Organs are actually made up of different types of tissues that work together to perform specific functions, rather than being composed of similar tissues. Organs consist of various tissues, each with their own specialized functions that collectively contribute to the overall function of the organ. Options A, C, and D are true statements. Option A correctly defines an organelle as a specialized structure in a cell, like a ribosome. Option C accurately describes organ systems as multiple organs working together to perform related functions. Option D correctly explains that a tissue is composed of different cells working together to carry out a specific function.

4. What is the main factor affecting the acceleration of a ball rolling down an inclined plane?

Correct answer: B

Rationale: The main factor affecting the acceleration of a ball rolling down an inclined plane is the angle of the incline. The steeper the incline, the greater the component of the gravitational force acting parallel to the incline, leading to a higher acceleration of the ball. While the material of the ball, air resistance, and the ball's initial velocity may have some influence on the motion, the angle of the incline is the primary factor determining acceleration in this scenario. The material of the ball does not significantly affect its acceleration on the incline unless it impacts the friction with the surface. Air resistance plays a minor role in the acceleration of the ball compared to the gravitational force. The ball's initial velocity affects the speed at the start but does not influence the acceleration down the incline.

5. A spring with a spring constant of 100 N/m is stretched 0.2 m from its equilibrium position. What is the potential energy stored in the spring?

Correct answer: C

Rationale: The potential energy stored in a spring is given by the formula \(PE = \frac{1}{2}kx^2\), where \(k\) is the spring constant and \(x\) is the displacement from the equilibrium position. Substituting the given values, we get \(PE = \frac{1}{2} \times 100 \times (0.2)^2 = 8\) J.

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