The fractional compression (ΔV/V) of water at the depth of 2.5 km below the sea level is _________%. (Given, the Bulk modulus of water = 2 × 109 Nm-2, density of water = 103 kgm-3, acceleration due to gravity = g = 10 ms-2.)
A tube of length L is shown in the figure. The radius of cross section at the point (1) is 2 cm and at the point (2) is 1 cm, respectively. If the velocity of water entering at point (1) is 2 m/s, then velocity of water leaving the point (2) will be
A gun fires a lead bullet of temperature 300 K into a wooden block. The bullet having melting temperature of 600 K penetrates into the block and melts down. if the total heat required for the process is 625 J, then the mass of the bullet is grams. (Latent heat of fusion of lead = 2.5 × 104 JKg-1 and specific heat capacity of lead = 125JKg-1 K-1)
A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water? (Given: density of water = 1000 kg m-3)
Two spherical bodies of same materials having radii 0.2 m and 0.8 m are placed in same atmosphere. The temperature of the smaller body is 800 K and temperature of the bigger body is 400 K. If the energy radiated from the smaller body is E, the energy radiated from the bigger body is (assume, effect of the surrounding temperature to be negligible).
A light hollow cube of side length 10 cm and mass 10 g, is floating in water. It is pushed down and released to execute simple harmonic oscillations. The time period of oscillations is yπ × 10-2 s, where the value of y is _____ (Acceleration due to gravity, g = 10 m/s2, density of water = 103 kg/m3)
Which of the following figure represents the relation between Celsius and Fahrenheit temperatures?
A cup of coffee cools from 90 °C to 80 °C in t minutes when the room temperature is 20 °C. The time taken by the similar cup of coffee to cool from 80 °C to 60 °C at the same room temperature is :
The difference of temperature in a material can convert heat energy into electrical energy. To harvest the heat energy, the material should have:
An air bubble of radius 0.1 cm lies at a depth of 20 cm below the free surface of a liquid of density 1000 kg/m3. If the pressure inside the bubble is 2100 N/m2 greater than the atmospheric pressure, then the surface tension of the liquid in SI unit is (use g = 10 m/s2)