The approximate depth of an ocean is 2700 m. The compressiblity of water is 45.4 $$ \times $$ 10^$$-$$11 Pa^$$-$$1 and density of water is 10³ kg/m³. What fractional compression of water will be obtained at the bottom of the ocean?

On observing light from three different starts P, Q and R, it was found that intensity of violet colour is maximum in the spectrum of P, the intensity of green colour is maximum in the spectrum of R and the intensity of red colour is maximum in the spectrum of Q. If T_P, T_Q and T_R are the respective absolute temperatures of P, Q and R, then it can be conclued from the above observations that

A wind with speed 40 m/s blows parallel to the roof of a house. The area of the roof is 250 m². Assuming that the pressure inside the house is atmospheric pressure, the force exerted by the wind on the roof and the direction of the force will be $$({\rho _{air}} = 1.2kg/{m^3})$$

The two ends of a metal rod are maintained at temperatures 100^oC and 110^oC. The rate of heat flow in the rod is found to be 4.0 J/s. If the ends are maintained at temperatures 200^oC and 210^oC, the rate of heat flow will be