De Broglie wave nature and atoms

Velocity of a body of mass m, having de Broglie wavelength λ, is given by

• v=λh/m

• v=λm/h

• v=λ/hm

• v=h/λm

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

• β particle

• α- particle

• proton

• neutron

The wavelength associated with an electron accelerated through a potential difference of 100V is of the order

• 1000 A^o

• 10.5 A^o

• 100 A^o

• 1.2 A^o

Which of these (having same kinetic energy) has the largest de broglie wavelength?

• Electron

• Alpha particle

• Proton

• Neutron

If the kinetic energy of the particle is increased to 16times its previous value, the percentage change in the de Broglie wavelength of the particle is

• 25

• 75

• 60

• 50

When a narrow accelerated beam of α particles is allowed to fall on a thin gold foil, most of the α particles pass straight through the foil or suffer only small deflections, This is because

• α particles are positively charged

• α particles are much massive than electrons

• most of the space within the atom is empty

• α particles move with high velocity

An elementary particle of mass m and charge +e is projected with velocity v at a much more massive particle of charge Ze, where Z>0. What is the closest posssible approach of the incident particle?

• Ze²/2πε₀mv²

• Ze²/8πε₀mv²

• Ze²/2πrε₀mv²

• Ze²/2πε₀v²

According to Rutherford's atomic model, the electrons inside an atom are

• stationary

• centralized

• non stationary

• none of these

If an α particle collides haed on with a nucleus , what is impact parameter

• Zero

• infinite

• 10^-10m

• 10¹⁰m

An alpha nucleus of energy 1/2mv² bombards a heavy target of charge Ze . Then , the distance of closest approachfor the alpha particle will be proportional to

• v²

• 1/m

• 1/v⁴

• 1/Ze