Two rotating bodies $A$ and $B$ of masses $m$ and $2m$ with moments of inertia $I_A$ and $I_B$ $(I_B > I_A)$ have equal kinetic energy of rotation. If $L_A$ and $L_B$ are their angular momenta respectively,then:

The following observations were taken for determining the surface tension $T$ of water by the capillary method:
Diameter of capillary,$D = 1.25 \times 10^{-2} \ m$
Rise of water,$h = 1.45 \times 10^{-2} \ m$
Using $g = 9.80 \ m/s^2$ and the simplified relation $T = \frac{rhg}{2} \times 10^3 \ N/m$,the possible error in surface tension is closest to ......... $\%$

Which gas is released when $Na_2CO_3$ is heated?

Arrange $Ce^{+3}, La^{+3}, Pm^{+3}$ and $Yb^{+3}$ in increasing order of their ionic radii.

In Young's double slit experiment,the seventh maximum with wavelength ${\lambda _1}$ is at a distance $d_1$ from the central maxima,and the same maximum with wavelength ${\lambda _2}$ is at a distance $d_2$. Then the ratio $d_1/d_2$ is:

Castor oil is obtained from which of the following plants?