TS EAMCET 2017 Code A Solved Paper

The expression for the de-Broglie wavelength is given by,
λ=‌‌

h

√2mk

Therefore, the kinetic energy is inversely proportional to the square of wavelength.
Hence
KE∝‌‌

1

λ2

‌‌

KE2

KE1

=(‌‌

λ1

λ2

)2
Substitute 1nm for λ1 and 0.5nm for λ2
‌‌

KE2

KE1

=(‌‌

1

0.5

)2
KE2=4KE1
Therefore, the kinetic energy increases three times.
∆KE=3KE1