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 :
The current passing through the battery in the given circuit, is:
A bob of heavy mass \(m\) is suspended by a light string of length \(l\). The bob is given a horizontal velocity \(v_0\) as shown in figure. If the string gets slack at some point P making an angle \( \theta \) from the horizontal, the ratio of the speed \(v\) of the bob at point P to its initial speed \(v_0\) is :
The female reproductive system provides various functions. The ovaries produce the egg cells known as the ova or oocytes. The oocytes are then taken to the fallopian tube where fertilization by a sperm may occur. The fertilized egg is then transferred to the uterus, where the uterine lining has thickened in regard to the normal hormones of the reproductive cycle. Once in the uterus, the fertilized egg can implant into the thickened uterine lining and continues to develop. If implantation does not take place, the uterine lining is shed as menstrual flow. In addition, the female reproductive system produces female sex hormones that preserve the reproductive cycle.
During menopause, the female reproductive system slowly stops making the female hormones that are required for the reproductive cycle work. At this stage, menstrual cycles can become irregular and finally stops. One year after menstrual cycles pause, the woman is deemed to be menopausal.