As per de Broglie’s formula a macroscopic particle of mass 100 gm and moving at a velocity of 100 cm s-1 will have a wavelength of

Question

As per de Broglie’s formula a macroscopic particle of mass 100 gm and moving at a velocity of 100 cm s-1 will have a wavelength of (A) 6.6 × 10-29 cm (B) 6.6 × 10-30 cm (C) 6.6 × 10-31 cm (D) 6.6 × 10-32 cm

Tardigrade Admin · Accepted Answer

According to de-Broglie, wavelength, λ=(h/m v) Given, m=100 g , v =100 cm s -1 and h =6.6 × 10-34 J - s =6.6 × 10-27 erg - s On substituting values, we get λ=(6.6 × 10-27/100 × 100) =6.6 × 10-31 cm

Q. As per de Broglie’s formula a macroscopic particle of mass $100 g m$ and moving at a velocity of $100 c m s^{- 1}$ will have a wavelength of

$6.6 \times 1 0^{- 29} c m$

$6.6 \times 1 0^{- 30} c m$

$6.6 \times 1 0^{- 31} c m$

$6.6 \times 1 0^{- 32} c m$

According to de-Broglie, wavelength, $λ = \frac{h}{m v}$
Given, $m = 100 g, v = 100 c m s^{- 1}$
and $h = 6.6 \times 1 0^{- 34} J - s$
$= 6.6 \times 1 0^{- 27} er g - s$
On substituting values, we get
$λ = \frac{6.6 \times 1 0 ^{- 27}}{100 \times 100}$
$= 6.6 \times 1 0^{- 31} c m$

Q. As per de Broglie’s formula a macroscopic particle of mass 100gm and moving at a velocity of 100cms−1 will have a wavelength of

6.6×10−29cm

6.6×10−30cm

6.6×10−31cm

6.6×10−32cm