A sphere of radius R is cut from a larger solid sphere of radius 2R as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the Y-axis is : 
A constant voltage of 50 V is maintained between the points A and B of the circuit shown in the figure. The current through the branch CD of the circuit is :
The current passing through the battery in the given circuit, is: 
Given below are two statements:
Statement I: The primary source of energy in an ecosystem is solar energy.
Statement II: The rate of production of organic matter during photosynthesis in an ecosystem is called net primary productivity (NPP).
In light of the above statements, choose the most appropriate answer from the options given below:
Reactance is the measure of the opposition of inductance and capacitance to current in an AC circuit which is denoted by X. It varies with the frequency of electrical signals and is measured in ohms.
The total reactance (X) is equal to the difference between the two:
Total reactance, X = X
a. Capacitive Reactance (XC) is the reactance, which is large at low frequencies and small at high frequencies.
b. Inductive Reactance, (XL) is the reactance which is small at low frequencies and large at high frequencies.