Question

A particle having wavelength 6.6×10^-4cm is moving with a velocity of 10^6cm sec^-1. Find the mass of the particle. Planck's constant =6.62×10^- 27 erg sec. Answer, (b) 1.003×10^-29g

Answer 1

$\huge\underline{\underline{\bf \green{Question-}}}$

A particle having wavelength ${\sf 6.6×10^{-4}cm}$ is moving with a velocity of ${\sf 10^6\:cm\:sec^{-1}}$ Find the mass of the particle. Planck's constant = ${\sf 6.62×10^{-27}erg\:sec}$

$\huge\underline{\underline{\bf \green{Solution-}}}$

$\large\underline{\underline{\sf Given:}}$

• Wavelength ${\sf (\lambda)=6.5×10^{-4}\:cm}$
• Velocity ${\sf (v)=10^6\:cm\:sec^{-1}}$
• Planck's Constant ( h ) = ${\sf 6.62×10^{-27}\:erg\:sec}$

$\large\underline{\underline{\sf To\:Find:}}$

• Mass of Particle ( m )

✪$\large{\boxed{\bf \blue{ \lambda = \dfrac{h}{mv}}}}$

$\implies{\sf 6.6×10^{-4}=\dfrac{6.62×10^{-27}}{m×10^6} }$

$\implies{\sf m = \dfrac{6.6×10^{-4}×10^6}{6.62×10^{-27}}}$

$\implies{\sf \dfrac{6.6×10^2}{6.62×10^{-27}}}$

$\implies{\bf \red{mass\:(m) = 1.003\times10^{29}g}}$

$\huge\underline{\underline{\bf \green{Answer-}}}$

Mass of Particle is ${\bf \red{1.003×10^{29}}}$

Answer 2

Answer:

Mass of particle is 1.003×10^29