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The reduce mass of two particles having ...

The reduce mass of two particles having masses m and 2 m is

A

2 m

B

3 m

C

2 m/3

D

m/2

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To find the reduced mass of two particles with masses \( m \) and \( 2m \), we can use the formula for reduced mass, which is given by: \[ \mu = \frac{m_1 m_2}{m_1 + m_2} \] ### Step-by-Step Solution: 1. **Identify the masses**: - Let \( m_1 = m \) (mass of the first particle) - Let \( m_2 = 2m \) (mass of the second particle) 2. **Substitute the masses into the formula**: \[ \mu = \frac{m_1 m_2}{m_1 + m_2} = \frac{m \cdot 2m}{m + 2m} \] 3. **Calculate the numerator**: \[ m \cdot 2m = 2m^2 \] 4. **Calculate the denominator**: \[ m + 2m = 3m \] 5. **Combine the results**: \[ \mu = \frac{2m^2}{3m} \] 6. **Simplify the expression**: \[ \mu = \frac{2m^2}{3m} = \frac{2m}{3} \] Thus, the reduced mass of the two particles is: \[ \mu = \frac{2m}{3} \]
To find the reduced mass of two particles with masses \( m \) and \( 2m \), we can use the formula for reduced mass, which is given by: \[ \mu = \frac{m_1 m_2}{m_1 + m_2} \] ### Step-by-Step Solution: ...
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