Four solid spheres each of mass ' $m$ ' and radius ' $r$ ' are arranged as shown in the figure. The moment of inertia of the system about the given axis of rotation $\mathrm{AA}^1$ is

$\frac{13}{5} \mathrm{mr}^2$
$\frac{16}{5} \mathrm{mr}^2$
$\frac{18}{5} \mathrm{mr}^2$
$\frac{21}{5} \mathrm{mr}^2$
A wave is travelling in the negative x direction having displacement 3 cm along Y direction, wavelength $2 \pi \mathrm{~m}$ and frequency $\left(\frac{1}{2 \pi}\right) \mathrm{Hz}$ is represented as ( $t=$ time)
$3 \sin (\mathrm{x}+\mathrm{t}) \mathrm{m}$
$3 \times 10^{-2} \sin (x+t) m$
$3 \sin (x+2 t) m$
$3 \times 10^{-3} \sin (x+2 t) \mathrm{m}$
A straight wire of mass ' M ' and length 2 m is placed in a magnetic field of 2 T which is acting perpendicular to the length of the wire. When a current of 1 A flows through the wire, the wire experiences an upthrust and leviates in a magnetic field. The mass ' $M$ ' of the wire is (acceleration due to gravity $\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^2$ )
0.4 gram
40 gram
400 gram
0.04 gram
A photon and an electron have equal energy ' $E$ '. The ratio of wavelength of photon to wavelength of electron is proportional to
$\frac{1}{\mathrm{E}}$
$\sqrt{E}$
E
$\frac{1}{\sqrt{\mathrm{E}}}$
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