Geotropic response is perceived by

Two rings of the same radius and mass are placed such that their centres are at a common point and their planes are perpendicular to each other. The moment of inertia of the system about an axis passing through the centre and perpendicular to the plane of one of the rings is: (mass of the ring $= m$,radius $= r$)

An ovule which becomes curved so that the nucellus and embryo sac lie at right angles to the funicle is:

If $\alpha, \beta, \gamma$ are the roots of the equation $x^3-6x^2+11x+6=0$,then $\Sigma \alpha^2 \beta+\Sigma \alpha \beta^2$ is equal to :

The instantaneous angular position of a point on a rotating wheel is given by the equation $\theta(t) = 2t^3 - 6t^2$. The torque on the wheel becomes zero at $t = \dots \text{sec}$.

The value of $\sqrt{42+\sqrt{42+\sqrt{42+\ldots}}}$ is equal to: