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Dual Nature of Radiation and matter question bank (Physics)

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Q1.

The ratio of the wavelength of a photon of energy $E$ to that of an electron of the same energy is ($m=$ mass of an electron,$c=$ speed of light,$h=$ Planck's constant).

(A)

$\sqrt{\frac{m}{cE}}$

(B)

$\sqrt{\frac{2m}{cE}}$

(C)

$c \sqrt{\frac{m}{E}}$

(D)

$c \sqrt{\frac{2m}{E}}$

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Q2.

$A$ photon has a wavelength of $3 \,nm$. Its momentum and energy, respectively, will be:
$[h = 6.63 \times 10^{-34} \,Js, c = 3 \times 10^8 \,m/s]$

(A)

$2.21 \times 10^{-43} \,kg \,m/s; 6.63 \times 10^{-34} \,J$

(B)

$2.21 \times 10^{-34} \,kg \,m/s; 6.63 \times 10^{-25} \,J$

(C)

$2.21 \times 10^{-25} \,kg \,m/s; 6.63 \times 10^{-17} \,J$

(D)

$2.21 \times 10^{-16} \,kg \,m/s; 6.63 \times 10^{-19} \,J$

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