Describe the first and second mode of vibrations of an open organ pipe.

What is organe pipe?

Show by two neat diagrams that the frequency of the first overtone of vibrating air coloumn in a organ pipe open at one end is three times the frequency of its fundamental vibration.

A rain drop of radius 2 mm falls from a height of 500 m above the ground. It falls with decreasing acceleration (due to viscous resistance of the air) until at half its original height, it attains its maximum (terminal) speed, and moves with uniform speed thereafter. What is the work done by the gravitational force on the drop in the first and second half of its journey? What is the work done by the resistive force in the entire journey if its speed on reaching the ground is 10 m s-^1 ?

How are the harmonics produced related with the fundamentals in the case of an open organ pipe?

Describe nitrification along with the equations and the organisms involved in each step.

Draw the representative diagram to show the formation of 3rd and 5th harmonics in a closed organ pipe.

A body moving with a uniform acceleration describes 12 m in third second of its motion and 20 m in the fifth second. Find the velocity after 10 seconds.

The first term and common ratio of a G.P. are both positive. The product of first and second term is 9 and that of first and fourth term is 144. Find the third term.

The speed time graph for a car is shown in the figure. find how far is the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.