You visited us 4 times! Enjoying our articles? Unlock Full Access!

1900's Physics and Wave

The distance ...

Question

The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy $K_{1}$ is $r_{o}$ . The distance of the closest approach when the α – particle is fired at the same nucleus with kinetic energy $2 K_{1}$ will be.

\frac{r_{o}}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{r_{o}}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2 r_{o}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

4 r_{o}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $\frac{r_{o}}{2}$
At a distance of closest approach, kinetic energy of α particle = Potential energy of system.
$∴ \frac{K q_{1} q_{2}}{r} = \frac{1}{2} m v^{2}$
Initially kinetic energy,
$K_{1} = \frac{K q_{1} q_{2}}{r_{0}}$ .....(i)
When $K_{2} = 2 K_{1}$
$2 K_{1} = \frac{K q_{1} q_{2}}{r^{'}}$ ....(ii)
From the above equation we get,
$r^{'} = \frac{r_{o}}{2}$

Suggest Corrections

Similar questions

Q. The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy

K_{1}

r_{o}

. The distance of the closest approach when the α – particle is fired at the same nucleus with kinetic energy

2 K_{1}

will be.

Q. The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy

K_{1}

r_{o}

. The distance of the closest approach when the α – particle is fired at the same nucleus with kinetic energy

2 K_{1}

will be.

The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy K is $r_{0}$ . The distance of the closest approach when the alpha particle is fired at the same nucleus with kinetic energy 2K will be

Q. The distance of closest approach of an

α

-particle fired at nucleus with momentum

P

d

. The distance of closest approach when the

α

-particle is fired at same nucleus with momentum

3 P

will be:

Q. The distance of closest approach of an

α

- particle fired towards a nucleus with momentum

p

,is

r

. The distance of closest approach when the momentum of

α

-particle is

2 p

Join BYJU'S Learning Program

Explore more

1900's Physics and Wave

Standard XIII Chemistry

Join BYJU'S Learning Program

The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy K1 is ro. The distance of the closest approach when the α – particle is fired at the same nucleus with kinetic energy 2K1 will be.

The correct option is A ro2At a distance of closest approach, kinetic energy of α particle = Potential energy of system. ∴Kq1q2r=12mv2 Initially kinetic energy, K1=Kq1q2r0 .....(i) When K2=2K1 2K1=Kq1q2r′ ....(ii) From the above equation we get, r′=ro2

The distance of the closest approach of an alpha particle fired at a nucleus with kinetic energy $K_{1}$ is $r_{o}$ . The distance of the closest approach when the α – particle is fired at the same nucleus with kinetic energy $2 K_{1}$ will be.