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The de-Broglie wavelength of a particle having kinetic energy \(E\) is \(\lambda\). How much extra energy must be given …

Q1

The de-Broglie wavelength of a particle having kinetic energy \(E\) is \(\lambda\). How much extra energy must be given to this particle so that the de-Broglie wavelength reduces to \(75 \%\) of the initial value?
[JEE Main 2021, 26 Aug (Shift 2)]

a

\(
\frac{1}{9} E
\)

b

\(
E
\)

c

\(
\frac{16}{9} E
\)

d

\(
\frac{7}{9} E
\)

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