Question

calculate the wavelength of 1000kg rocket moving with velocity of 300km per hour

Answer 1

Given conditions ⇒

Mass of the Rocket = 1000 kg.
Velocity of the Rocket = 300 km/hr.
= 300 × 5/18
= 83.33 m/s.

∵ Momentum = Mass × Velocity
∴ p = 1000 × 83.33
⇒ p =  83.33 × 10³ kg-m/s. 

Now, Using the Formula,

λ = h/p
where h is the plank constant = 6.62 × 10⁻³⁴ J-s.
∴ λ = (6.62 × 10⁻³⁴)/8.83 × 10³
  = 7.9 × 10⁻³⁹ m.


Hence, the wavelength is 7.9 × 10⁻³⁹ m.


Hope it helps. :-)

Answer 2

Answer:

Mass of the Rocket = 1000 kg.

Velocity of the Rocket = 300 km/hr.

= 300 × 5/18

= 83.33 m/s.

∵ Momentum = Mass × Velocity

∴ p = 1000 × 83.33

⇒ p =  83.33 × 10³ kg-m/s. 

Now, Using the Formula,

λ = h/p

where h is the plank constant = 6.62 × 10⁻³⁴ J-s.

∴ λ = (6.62 × 10⁻³⁴)/8.83 × 10³

  = 7.9 × 10⁻³⁹ m.