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1 A metal ball immersed in alcohol weighs W1 at 0°C and W2 at 50° C . The co-efficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that
A metal ball immersed in alcohol weighs W1 at 0°C and W2 at 50° C . The co-efficient of cubical expansion of the metal is less than that of the alcohol. Assuming that the density of the metal is large compared to that of alcohol, it can be shown that
A vessel containing water is given a constant acceleration ‘a’ towards the right along a straight horizontal path. Which of the following diagrams in fig. represent the surface of the liquid?
The following four wires are made of the same material.Which of these will have the largest extension when the same tension is applied?
A U-tube of uniform cross-section (see fig) is partially filled with a liquid I. Another liquid II which does not mix with liquid I is poured into one side. It is found that the liquid levels of the two sides of the tube are the same, while the level of liquid I has risen by 2 cm. If the specific gravity of liquid I is 1.1, the specific gravity of liquid II must be
A homogeneous solid cylinder of length L(L<H/2),cross-sectional area A/5 is immersed such that it floats with its axis vertical at the liquid-liquid interface with length L/4 in the denser liquid as shown in the figure. The lower density liquid is open to atmosphere having pressure P0. Then density D of solid is given by
A large closed compartment containing gas is moving with some acceleration in horizontal directon. Neglect effect of gravity. Then the pressure in the compartment is
A large open tank has two holes in the wall. One is a square hole of side L at a depth y from the top and the other is a circular hole of radius R at a depth 4y from the top. When the tank is completely filled with water, the quantities of water flowing out per second from both holes are the same. Then, R is equal to
A wooden block, with a coin placed on its top, floats in water as shown in figure. The distances l and h are shown here. After some time the coin falls into the water. Then
A glass tube of uniform internal radius (r) has a valve separating the two identical ends. Initially, the valve is in a tightly closed position. End 1 has a hemispherical soap bubble of radius R. End 2 has sub-hemispherical soap bubble as shown in figure. Just after opening the valve
.A body floats in a liquid contained in a beaker. The whole system as shown in figure falls freely under gravity. The upthrust on the body is
.The spring balance A reads 2 kg with a block m suspended from it. A balance B reads 5 kg when a beaker with liquid is put on the pan of the balance. The two balances are now so arranged that the hanging mass is inside the liquid in the beaker as shown in the figure. In this situation
A vessel contains oil (density = 0.8 g/cm3) over mercury (density = 13.6 g I cm3 ). A homogeneous sphere floats with half its volume immersed in mercury and the other half in oil. The density of the material of the sphere in g/cm3
Water from a tap emerges vertically downwards with an initial speed of 1.0 ms-1. The cross sectional area of the tap is 10-4 m2. Assume that the pressure is constant throughout the stream of water, and that the flow is steady. The crosssectional area of the stream 0.15 m below the tap is
Two solid spheres A and B of equal volumes but of different densities dA and dB are connected by a string. They are fully immersed in a fluid of density dE. They get arranged into an equilibrium state as shown in the figure with a tension in the string. The arrangement is possible only if