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Which one of the following statements about water is FALSE ?

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A hoop of radius r and mass m rotating with an angular velocity $ω_{0}$ is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre of the hoop when it ceases to slip?

The circle passing through (1, -2) and touching the axis of x at (3, 0) also passes through the point

Match List - I (Fundamental Experiment) with List - II (its conclusion) and select the correct option from the choice given below the list :

Let $a,b$and $c$ be three non-zero vectors such that no two of them are collinear and $(a×b)×c=31 ∣c∣∣∣ b∣∣ ∣a∣$. If $θ$is the angle between vectors $b$and $c$then a value of $sinθ$is :

An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the volume of the gas is $V_{0}$ and its pressure is $P_{0}.$ The piston is slightly displaced from the equilibrium position and released. Assuming that the system is completely isolated from its surrounding, the piston executes a simple harmonic motion with frequency:

Stability of the species $Li_{2},Li_{2}andLi_{2}$ increases in the order of:

The x-coordinate of the incentre of the triangle that has the coordinates of mid points of its sides as (0, 1), (1, 1) and (1, 0) is

A rectangular loop of sides 10 cm and 5 cm carrying a current 1 of 12 A is placed in different orientations as shown in the figures below : ltBrgt If there is a uniform magnetic field of 0.3 T in the positive z direction, in which orientations the loop would be in (i) stable equilibrium ?