JEE Main Test 1...

If 4a² + 9b² + 16c² = 2(3ab + 6bc + 4ca), where a, b and c are non - zero numbers, then a, b, c are in

A 20 cm long capillary tube is dipped in water. The water rises upto 8 cm. If the entire arrangement is put in a freely falling elevator, the length of water column in the capillary tube will be

Two mercury drops (each of radius r) merge to form a bigger drop. The surface energy of the bigger drop, if T is the surface tension, is

A diatomic ideal gas is used in a car engine as the working substance. If during the adiabatic expansion part of the cycle, volume of the gas increases from V to 32 V. The efficiency of the engine is

For |χ| < 1, the constant term in the expansion of

A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force F is applied at the point P parallel to AB, such that the object has only the translational motion without rotation. Find the location of P with respect to C.

The distance between the centres of carbon and oxygen atoms in the carbon monoxide molecule is 1.130A° . Locate the centre of mass of the molecule relative to the carbon atom

The bond length of HCl molecule is 1.275 Å and its dipole moment is 1.03 D. The ionic character of the molecule (in per cent) (charge of the electron = 4.8 x 10^-10 esu) is

If A is a square matrix, then