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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 an alpha particle is compared to a neutron, we can follow these steps: ### Step 1: Understand the Composition of an Alpha Particle An alpha particle is essentially a helium nucleus, consisting of 2 protons and 2 neutrons. Therefore, the mass of an alpha particle can be approximated as the sum of the masses of these nucleons. ### Step 2: Determine the Mass of an Alpha Particle The mass of an alpha particle is approximately 4 atomic mass units (U). This is because: - Each proton has a mass of approximately 1 U. - Each neutron also has a mass of approximately 1 U. Thus, the total mass of the alpha particle (2 protons + 2 neutrons) is: \[ \text{Mass of Alpha Particle} = 2 \times 1U + 2 \times 1U = 4U \] ### Step 3: Determine the Mass of a Neutron The mass of a neutron is approximately 1 atomic mass unit (U). ### Step 4: Calculate the Ratio of the Masses To find out how many times heavier the alpha particle is than the neutron, we can set up the following ratio: \[ \text{Ratio} = \frac{\text{Mass of Alpha Particle}}{\text{Mass of Neutron}} = \frac{4U}{1U} \] When we simplify this, the units (U) cancel out: \[ \text{Ratio} = 4 \] ### Step 5: Conclusion From our calculations, we find that an alpha particle is approximately 4 times heavier than a neutron. ### Final Answer Alpha particles are approximately 4 times heavier than neutrons. ---
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