Brush bordered epithelium is found in

The period of the function $f(\theta) = \sin \frac{\theta}{3} + \cos \frac{\theta}{2}$ is (in $pi$)

An object $2.4 \, m$ in front of a lens forms a sharp image on a film $12 \, cm$ behind the lens. $A$ glass plate $1 \, cm$ thick,of refractive index $1.50$,is interposed between the lens and the film with its plane faces parallel to the film. At what distance (from the lens) should the object be shifted to be in sharp focus on the film? (in $m$)

The adsorption isotherm for a gas is given by the relation $x = \frac{ap}{1 + bp}$,where $x$ is moles of gas adsorbed per gram of the adsorbent,$p$ is the pressure of the gas,and $a$ and $b$ are constants. Then $x$:

$A$ tetrahedron has vertices at $O(0, 0, 0)$,$A(1, 2, 1)$,$B(2, 1, 3)$,and $C(-1, 1, 2)$. The angle between the faces $OAB$ and $ABC$ is:

The minimum value of $27 \tan ^2 \theta + 3 \cot ^2 \theta$ is