The de-broglie wavelength associated with particle of mass 10-6 kg moving with a velocity of 10 m / sec is:

Question

The de-broglie wavelength associated with particle of mass 10-6 kg moving with a velocity of 10 m / sec is: (A) 6.63 × 10-7 m (B) 6.63 × 10-16 m (C) 6.63 × 10-21 m (D) 6.63 × 10-29 m

Tardigrade Admin · Accepted Answer

According to de-Broglie equation λ=( h / mv )=(6.63 × 10-34/10-6 × 10) ⇒ (6.63 × 10-34/10-5) =6.63 × 10-29 m

Q. The de-broglie wavelength associated with particle of mass $1 0^{- 6} k g$ moving with a velocity of $10 m / sec$ is:

$6.63 \times 1 0^{- 7} m$

$6.63 \times 1 0^{- 16} m$

$6.63 \times 1 0^{- 21} m$

$6.63 \times 1 0^{- 29} m$

According to de-Broglie equation

$λ = \frac{h}{m v} = \frac{6.63 \times 1 0 ^{- 34}}{1 0 ^{- 6} \times 10}$

$\Rightarrow \frac{6.63 \times 1 0 ^{- 34}}{1 0 ^{- 5}}$

$= 6.63 \times 1 0^{- 29} m$

Q. The de-broglie wavelength associated with particle of mass 10−6kg moving with a velocity of 10m/sec is:

6.63×10−7m

6.63×10−16m

6.63×10−21m

6.63×10−29m