If two objects move in a circular path of radii in the ratio of 1:3 and take same time to complete the circle, what is the ratio of their speed?

A small stone of mass 200 g is tied to one end of a string of length 80 cm . Holding the other end in hand , the stone is whirled into a vertical circle What is the minimum speed that needs to be imparted at the lowest point of the circular path , so that the stone is just able to complete the vertical circle ? what would be the tension at the lowest point of circular path ? (Take g = 10 m//s^(2) ) .

The radii of two cylinders are in the ratio 2:3 and their heights are in the ratio 5:3. Calculate the ratio of their volumes and the ratio of their curved surfaces.

If the radius of two circular cylinders are in the ratio 2 : 3 and their heights are in the ratio 9: 10 . Find the ratio of their curved surface areas.

The ratio of amplitude of two waves is 2:3. What is the ratio of intensities of these waves?

A small stone, of mass 0.2 kg, tied to a massless, inextensible string, is rotated in vertical circle of radius 2 m. if the particle is just able to complete the vertical circle, what is its speed at the highest point of its circular path? How would this speed get effected if the mass of the stone is increased by 50%? (Take g = 10 ms^(-2) )

The diameters of two circles are in the ratio of 4 : 3and the sum of the their areas is equal to the area of the circle, whose radius is 5 cm. Find the diameters of the two circles.

The radii of two right circular cylinder in the ratio 2 : 3 and their heights are in the ratio 5:4. Show that the ratio of their curved surfaces is 5: 6.

Two wire A & B are of the same metal and are of same length have area of cross section in the ratio of 2:1 If the same potential difference is applied across each wire. What will be the ratio of the current flowing through the wires A & B ?