a paramecium is covered with motile hairs called cilia that propel it at a speed of 1 mm/s.

Answers

Answer 1

The speed of paramecium is given. The de-Broglie's wavelength of the particle is 3.313 × 10⁻²¹ m.

Given that, the speed of paramecium v = 1 mm/s = 1 × 10⁻³ m/s

Volume of paramecium = 2× 10⁻¹³ m³

Density of paramecium = 1000 kg/m³

Mass of paramecium is given by the formula, m = ρ v

⇒ 1000 × 2× 10⁻¹³ = 2× 10⁻¹⁰ kg

The de-Broglie's wavelength of the particle is,

λ = h/p = h/mv = (6.626 × 10⁻³⁴)/[2× 10⁻¹⁰ × 10⁻³] = 3.313 × 10⁻²¹ m

where, h is plank's constant

p is momentum

Thus, the required de-Broglie's wavelength of the particle is 3.313 × 10⁻²¹ m.

The question is incomplete. The complete question is 'If the paramecium has a volume of 2E-13m³ and a density equal that of water, what is the de-Brogile wavelength when in motion?

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Related Questions

What are the elements of realism?

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Realism is characterised by its emphasis on social issues, common difficulties, life's realities, and largely middle- and lower-class people.

What does the word "realism" really mean?

1. A propensity to be realistic and practical rather than creative or visionary 2. depicting people and things in literature and art in their true, non-idealized state. likewise see naturalism.

In books, what does realism mean?

A literary genre known as realism depicts typical day-to-day events as they actually take place in reality. This frequently concentrates on persons from the middle and lower classes and on well-known locations.

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