After four strokes the density of air in the receive of an air-pump is four to bear to its original density the ratio of `256:625` . What is the ratio of the volume of the barrel to that of the receive ?

If the height of a given cone becomes four times and the radius of the base becomes twice, what is ratio of the volume of the given cone and the volume of the new cone ?

An inflatable device with a density of 1.20 g/ cm^(3) is fully submerged in fresh water and then inflated enough for the device's density to match that of the water. What then is the ratio of the expanded volume to the full volume of the device?

A cone of radius r сm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?

A cone of radius r сm and height h cm is divided into two parts by drawing a plane through the middle point of its height and parallel to the base. What is the ratio of the volume of the original cone to the volume of the smaller cone?

The volume fo mercury and water is 50 ml each. What is the ratio of their mass, if their densities are in the ratio 68:5?

Assuming the radius of a hydrogen atom is given by the Bohr radius r_("Bohr")=5.29xx10^(-1) m what is the ratio of the nuclear density of a hydrogen atom to its atomic density?

At the top of the mountain the temperature is -13^(@)C and the barometer reads 68 cm of Hg. At the bottom the temperature is 27^(@)C and the barometer reads 70 cm of Hg. What is the ratio of the densities of the air at the mountain to that the sea level?

A boat is travelling in a river with a speed 2m//s . From this boat, a sound transmitter is lowered into the river through a rigid support. The wavelength of the sound emitted from the transmitter inside the water is 14.45mm . Assume that attenuation of sound in water and air is negligible. (a) What will be the frequency detected by a receiver kept inside the river downstream? (b) The transmitter and the receiver are now pulled up into air. the air is blowing with a speed 5m//s in the direction opposite the river stream. Determine the frequency of the sound detected by the receiver. (Temperature of the air and water = 20^(@)C , Density of river water = 10^(3) kg//m^(3) , Bulk modulus of the water = 2.088 xx 10^(9) Pa, gas constant R = 8.31 J//mol-K , Mean molecular mass of air = 28.8 xx 10^(-3) kg//mol , C_(P)//C_(V) for air = 1.4 )