A particle is dropped from a height H. The de Broglie wavelength  of the particle as a function of height is proportional to 

1

(a)

\(H\)

(b)

\({ H }^{ 1/2 }\)

(c)

\({ H }^{ 0 }\)

(d)

\({ H }^{ -1/2 }\)

The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1 MeV energy is nearly,

1

(a)

\(1.2 nm\)

(b)

\(1.2\times { 10 }^{ -3 }nm\)

(c)

\(1.2\times { 10 }^{ -6 }nm\)

(d)

\(1.2\times { 10 }^{ 1 }nm\)

Consider a beam of electrons (each with energy E₀) incident on a metal surface kept in an evacuated chamber. Then 

1

(a)

no electrons will be emitted as only photons can emit electrons

(b)

electrons can be emitted but all with an energy E₀ 

(c)

electrons can be emitted with any energy, with a maximum of \({ E }_{ 0 }-\phi \)(\(\phi \)is the work function)

(d)

electrons can be emitted with any energy, with a maximum of E₀

Two particles A₁ and A₂ masses m₁, m₂ (m₁>m₂) have the same de Broglie wavelength. Then

1

(a)

their momenta are their same

(b)

their energies are their same

(c)

energy of A₁ is less than the energy of A2

(d)

energy of A₁ is more than the energy of A2

Consider a beam of electrons (each electron with energy Eo) incident on a metal surface kept in an evacuated chamber. Then

1

(a)

no electronswillbe emittedas onlyphotons can emit electrons

(b)

electronscan be emittedbut all with an energy,E₀

(c)

electronscan be emittedwith any energy,with a maximumof E ₀ - φ (φ is the work function)

(d)

electronscan be emittedwith any energy,with a maximumof E₀

The wavelength of a photon needed to remove a proton from a nucleus which is bound to the nucleus with 1MeV energy is nearly

1

(a)

1.2 nm

(b)

1.2 x 10^-3 nm

(c)

1.2 x 10^-6nm

(d)

1.2 x 10 nm