The energy of a photon is equal to the kinetic energy of proton. If $\lambda_1$ is the de-Broglie wavelength of a proton, $\lambda_2$ is the wavelength associated with the photon and if E is the energy of photon then $\lambda_2: \lambda_1$ is
$1: \sqrt{3 \mathrm{E}}$
$1: \sqrt{E}$
$\sqrt{\mathrm{E}}: 1$
$\sqrt{3 E}: 1$
In an adiabatic change, the pressure and temperature of a diatomic gas are related as $\mathrm{P} \propto \mathrm{T}^{\mathrm{c}}$, where c is a constant. The value of c is (consider gas molecules are rigid)
$\frac{9}{7}$
$\frac{7}{2}$
$\frac{5}{2}$
$\frac{4}{3}$
If $|\vec{A} \times \vec{B}|=\sqrt{3}(\vec{A} \cdot \vec{B})$ then the value of $|\vec{A}+\vec{B}|$ is $\left(\tan 60^{\circ}=\sqrt{3}, \cos 60^{\circ}=0.5\right)$
$\left(A^2+B^2+\frac{A B}{\sqrt{3}}\right)^{\frac{1}{2}}$
$\left(A^2+B^2+A B\right)^{\frac{1}{2}}$
$\left(A^2+B^2+\sqrt{3} A B\right)^{\frac{1}{2}}$
$\mathrm{A}+\mathrm{B}$
In an interference experiment, the phase difference between the waves reaching a first dark point is
zero
$\pi^{\mathrm{c}}$
$\left(\frac{3 \pi}{2}\right)^{\mathrm{c}}$
$(2 \pi)^c$
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