Fill in the blank with the suitable option given below:
The Revolt of 1857 marked the end of the ___________ dynasty in India.
Identify the ruler from Indian history with the following information:
- Ruler of Bhopal
- Ruled from 1868 to 1901 CE
- Helped in preserving the Sanchi Stupa

A ladder of fixed length \( h \) is to be placed along the wall such that it is free to move along the height of the wall.
Based upon the above information, answer the following questions:
(iii) (b) If the foot of the ladder, whose length is 5 m, is being pulled towards the wall such that the rate of decrease of distance \( y \) is \( 2 \, \text{m/s} \), then at what rate is the height on the wall \( x \) increasing when the foot of the ladder is 3 m away from the wall?