If the momentum of an electron is changed by $P$ , then the de-Broglie wavelength associated with it changes by $0.5$ . The initial momentum of electron will be :
$100 P$
$200 P$
$\frac{P}{200}$
$400 P$

Question

If the momentum of an electron is changed by P- then the de-Broglie wavelength associated with it changes by 0-5- The initial momentum of electron will be -100P200Pcfrac-P-200-400P

Toppr Admin · Accepted Answer

Initial momentum- Pi-h-x3BB- orPi-x2212-P-h-x3BB-0-5100-x3BB-orPi-x2212-P-Pi10051000orPi-1005P5-x2248-200P

If the momentum of an electron is changed by P, then the de-Broglie wavelength associated with it changes by 0.5. The initial momentum of electron will be :100P200PP200400P

Initial momentum, Pi=hλ orPi−P=hλ+0.5100λorPi−P=Pi10051000orPi=1005P5≈200P

If the momentum of an electron is changed by $P$ , then the de-Broglie wavelength associated with it changes by $0.5$ . The initial momentum of electron will be :
$100 P$
$200 P$
$\frac{P}{200}$
$400 P$

Initial momentum, $P_{i} = \frac{h}{λ}$
or
$P_{i} - P = \frac{h}{λ + \frac{0.5}{100} λ}$
or
$P_{i} - P = \frac{P_{i}}{\frac{1005}{1000}}$
or
$P_{i} = \frac{1005 P}{5} \approx 200 P$