25) Substance A has a density of 3 g/cm and substance B has a density of 4 g/cm. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of B? Show work. VA A) 1 VB 3 VA 4 B) VB VA 3 C) VB VA D) VB 4 VA E) 3 VB

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### Physics: Waves and Density Problems

#### Multiple Choice Questions

**24) The distance between adjacent peaks in the direction of travel for a transverse wave is its**

A) frequency.  
B) period.  
C) wavelength.  
D) amplitude.  

---

**25) Substance A has a density of 3 g/cm³ and substance B has a density of 4 g/cm³. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of B? Show work.**

A) \( \frac{V_A}{V_B} = \frac{1}{3} \)  
B) \( \frac{V_A}{V_B} = \frac{4}{3} \)  
C) \( \frac{V_A}{V_B} = \frac{3}{4} \)  
D) \( \frac{V_A}{V_B} = \sqrt{\frac{3}{4}} \)  
E) \( \frac{V_A}{V_B} = \frac{3}{1} \)  

---

**26) A plastic block of dimensions 2.00 cm × 3.00 cm × 4.00 cm has a mass of 30.0 g. What is its density? Show work.**

A) 0.80 g/cm³

### Explanation for Each Section

**Question 24:**

This question asks about the physical characteristics of a transverse wave. The options provided are common properties of waves:

- **Frequency**: The number of complete waves passing a point per second.
- **Period**: The time taken for one complete cycle of the wave.
- **Wavelength**: The distance between successive peaks (or troughs) of a wave.
- **Amplitude**: The maximum displacement of the wave from its rest position.

**Question 25:**

This question deals with the relationship between the densities and volumes of two substances to achieve equal masses. The density (\( \rho \)) is defined by the mass (m) per unit volume (V):

\[ \rho = \frac{m}{V} \]

For equal masses, the volumes of substances A and B can be related through their densities:

\[ m_A = \rho_A V_A \]  
\[ m_B = \rho_B V_B \]  
\[ \rho_A V_A = \rho_B V_B \
Transcribed Image Text:### Physics: Waves and Density Problems #### Multiple Choice Questions **24) The distance between adjacent peaks in the direction of travel for a transverse wave is its** A) frequency. B) period. C) wavelength. D) amplitude. --- **25) Substance A has a density of 3 g/cm³ and substance B has a density of 4 g/cm³. In order to obtain equal masses of these two substances, what must be the ratio of the volume of A to the volume of B? Show work.** A) \( \frac{V_A}{V_B} = \frac{1}{3} \) B) \( \frac{V_A}{V_B} = \frac{4}{3} \) C) \( \frac{V_A}{V_B} = \frac{3}{4} \) D) \( \frac{V_A}{V_B} = \sqrt{\frac{3}{4}} \) E) \( \frac{V_A}{V_B} = \frac{3}{1} \) --- **26) A plastic block of dimensions 2.00 cm × 3.00 cm × 4.00 cm has a mass of 30.0 g. What is its density? Show work.** A) 0.80 g/cm³ ### Explanation for Each Section **Question 24:** This question asks about the physical characteristics of a transverse wave. The options provided are common properties of waves: - **Frequency**: The number of complete waves passing a point per second. - **Period**: The time taken for one complete cycle of the wave. - **Wavelength**: The distance between successive peaks (or troughs) of a wave. - **Amplitude**: The maximum displacement of the wave from its rest position. **Question 25:** This question deals with the relationship between the densities and volumes of two substances to achieve equal masses. The density (\( \rho \)) is defined by the mass (m) per unit volume (V): \[ \rho = \frac{m}{V} \] For equal masses, the volumes of substances A and B can be related through their densities: \[ m_A = \rho_A V_A \] \[ m_B = \rho_B V_B \] \[ \rho_A V_A = \rho_B V_B \
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