Question

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

Solution

Correct option is

The distance of the closest approach is given by  

              

.

When K is doubled, r0 becomes half.

SIMILAR QUESTIONS

Q1

A proton captures a free electron whose kinetic energy is zero and forms a hydrogen atom of lowest energy-level (n = 1). If a photon is emitted in this process, what will be the wavelength of radiation? In which region of electromagnetic spectrum, will this radiation fall? (Ionisation potential of hydrogen atom = 13.6 V).  

Q2

The de Broglie wavelength of a neutron at 927ois . What will be its wavelength at 27oC?

Q3

What is the de Broglie wavelength of an electron of energy 1800 eV? Mass of electron  and Planck’s constant .

Q4

Moving with the same velocity, which of the following has the longest de Broglie wavelength? 

Q5

The de Broglie wavelength of an electron moving with a velocity  is equal to that a photon. The ratio of the kinetic energy of the electron to that of the photon is 

Q6

The distance of the closest approach of an alpha particle fired at a nuclear with momentum p is r0. The distance of the closest approach when the alpha particle is fired at the same nucleus with momentum 2p will be   

Q7

In the Bohr model of the hydrogen atom, the ratio of the kinetic energy to the total energy of the electron in a quantum state n is

Q8

The mass per nucleon in a heavy hydrogen atom is

Q9

When high energy alpha-particle  pass through nitrogen gas, an isotope of oxygen is formed with the emission of particles named x. The nuclear reaction is

           

what is the name of x?

Q10

 

Calculate de-Broglie wavelength for electron and proton moving with same speed of 105 ms–1.