A particle of mass 9.1 × 10-31 kg travels in a medium with a speed of 106 m / s and a photon of are adiation of linear momentum 10-27 kgm / s travelsin vacuum. The wavelength of photon is times the wavelength of the particle.

Question

A particle of mass 9.1 × 10-31 kg travels in a medium with a speed of 106 m / s and a photon of are adiation of linear momentum 10-27 kgm / s travelsin vacuum. The wavelength of photon is times the wavelength of the particle. (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

For photon λ1=(h/P)=(6.6 × 10-34/10-27) For particle λ2=(h/m v)=(6.6 × 10-34/9.1 × 10-31 × 106) ∴ (λ1/λ2)=910

Q. A particle of mass $9.1 \times 1 0^{- 31} k g$ travels in a medium with a speed of $1 0^{6} m / s$ and a photon of are adiation of linear momentum $1 0^{- 27} k g m / s$ travelsin vacuum. The wavelength of photon is________ times the wavelength of the particle.

For photon $λ_{1} = \frac{h}{P} = \frac{6.6 \times 1 0 ^{- 34}}{1 0 ^{- 27}}$
For particle $λ_{2} = \frac{h}{m v} = \frac{6.6 \times 1 0 ^{- 34}}{9.1 \times 1 0 ^{- 31} \times 1 0 ^{6}}$
$∴ \frac{λ _{1}}{λ _{2}} = 910$

Q. A particle of mass 9.1×10−31kg travels in a medium with a speed of 106m/s and a photon of are adiation of linear momentum 10−27kgm/s travelsin vacuum. The wavelength of photon is________ times the wavelength of the particle.

For photon λ1​=Ph​=10−276.6×10−34​ For particle λ2​=mvh​=9.1×10−31×1066.6×10−34​ ∴λ2​λ1​​=910

Q. A particle of mass $9.1 \times 1 0^{- 31} k g$ travels in a medium with a speed of $1 0^{6} m / s$ and a photon of are adiation of linear momentum $1 0^{- 27} k g m / s$ travelsin vacuum. The wavelength of photon is________ times the wavelength of the particle.

For photon $λ_{1} = \frac{h}{P} = \frac{6.6 \times 1 0 ^{- 34}}{1 0 ^{- 27}}$
For particle $λ_{2} = \frac{h}{m v} = \frac{6.6 \times 1 0 ^{- 34}}{9.1 \times 1 0 ^{- 31} \times 1 0 ^{6}}$
$∴ \frac{λ _{1}}{λ _{2}} = 910$