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Alpha particles are ...... times heavier...

Alpha particles are ...... times heavier (approximately) than neutron

A

2

B

4

C

3

D

5

Text Solution

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The correct Answer is:
To determine how many times heavier alpha particles are compared to neutrons, we can follow these steps: ### Step-by-Step Solution: 1. **Understand the Composition of Alpha Particles**: - An alpha particle consists of 2 protons and 2 neutrons. This is important because we need to know the total mass of the alpha particle. 2. **Calculate the Mass of the Alpha Particle**: - The mass of an alpha particle (M_alpha) can be expressed in terms of the mass of protons (M_p) and neutrons (M_n): \[ M_{\alpha} = 2M_{p} + 2M_{n} \] - Since the mass of a proton and neutron are approximately equal (both are about \(1.67 \times 10^{-27}\) kg), we can express the mass of the alpha particle in terms of the mass of neutrons: \[ M_{\alpha} = 2M_{n} + 2M_{n} = 4M_{n} \] 3. **Comparison of Masses**: - Now that we have established that the mass of the alpha particle is 4 times the mass of a neutron, we can conclude: \[ M_{\alpha} = 4M_{n} \] 4. **Final Answer**: - Therefore, alpha particles are approximately **4 times heavier than neutrons**. ### Conclusion: Alpha particles are 4 times heavier than neutrons. ---
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