A U tube with both ends open to the atmosphere, is partially filled with water. Oil, which is immiscible with water, is poured into one side until it stands at a distance of 10 mm above the water level on the other side. Meanwhile the water rises by 65 mm from its original level (see diagram). The density of the oil is

A rectangular film of liquid is extended from (4cm × 2cm) to (5cm × 4cm). If the work done is 3 × 10⁻⁴J, the value of the surface tension of the liquid is

Two identical bodies are made of a material for which the heat capacity increases with temperature. One of these is at 100°C, while the other one is at 0°C. If the two bodies are brought into contact, then, assuming no heat loss, the final common temperature is

Coefficient of linear expansion of brass and steel rods are α₁ and α₂. Length of brass and steel rods are l₁ and l₂ respectively. If (l₂ − l₁) is maintained same at all temperatures, which one of the following relations holds good?

A black body is at a temperature of 5760 K. The energy of radiation emitted by the body at wavelength 250nm is U₁, at wavelength 500 nm is U₂ and that at 1000 nm is U₃ Wien's constant, b = 2.88 × 10⁶nmK. Which of the following is correct?

An airplane of a total wing area of 120 m² is in a level flight at some height. If the pressure difference between the upper and lower surface is 2.5 kPa, then the mass of the airplane is: [Take g = 10 ms-2]

A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:

If pressure at half the depth of a lake is equal to 2/3rd the pressure at the bottom of the lake, then the depth of the lake is:

The value of g at a place decreases by 2%. Then, the barometric height of mercury:

A siphon in use is demonstrated in the following figure. The density of the liquid flowing in the siphon is 1.5 gm/cc. The pressure difference between the point P and S will be: