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The de Broglie wavelength associated with a ball of mass 200 g and moving at a speed of 5 metres/hour, is of the order of (h = 6.625 x 10-34 J s) is
  • a)
    10-15 m
  • b)
    10-20 m
  • c)
    10-25 m
  • d)
    10-30 m
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The de Broglie wavelength associated with a ball of mass 200 g and mov...
According to de Broglie’s equation 
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The de Broglie wavelength associated with a ball of mass 200 g and mov...
**Given:**
Mass of the ball, m = 200 g = 0.2 kg
Speed of the ball, v = 5 m/hour

**To find:**
De Broglie wavelength associated with the ball

**Formula:**
The de Broglie wavelength (λ) is given by the equation:
λ = h / mv

where
h = Planck's constant = 6.625 x 10^(-34) J s
m = mass of the particle
v = velocity of the particle

**Calculation:**
1. Convert the speed from m/hour to m/s:
Speed in m/s = 5 m/hour x (1 hour/3600 s) = 5/3600 m/s

2. Substitute the values into the formula:
λ = h / mv
= (6.625 x 10^(-34) J s) / (0.2 kg x 5/3600 m/s)
= (6.625 x 10^(-34) J s) / (0.2 kg x 5/3600 m/s)
= (6.625 x 10^(-34) J s) x (3600 m/s) / (0.2 kg x 5)
= (6.625 x 10^(-34) J s) x (3600 m/s) / (1 kg)
= 1.195 x 10^(-28) m

**Answer:**
The de Broglie wavelength associated with the ball is of the order of 10^(-28) m. Therefore, the correct answer is option D) 10^(-30) m.
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