JEE Main Test 1...

If sin A, sin B and cos A are in GP, then the roots of χ² + 2χ cot B + 1 = 0 are always

Two masses M and M/2 are joined together by means of light inextensible string passed over a frictionless pulley as shown in the figure. When the bigger mass is released, the small one will ascend with an acceleration of

The work done by a force acting on a body is as shown in the graph. The total work done in covering an initial distance of 20 m is

The sum of the integers from 1 to 100 which are divisible by 3 and 5, is

The value of 2^1/4 . 4^1/8 . 8^1/16 ... ∞ is

The wavelength X. = 5.5 × 10^-7m when temperature of the sun is 5500 K. If the furnace has wavelength λ_m equal to 1 is 10^-7m, then temperature of furnace is

The amount of heat energy radiated by a metal at temperature T is E . When the temperature is increased to 3 T , energy radiated is

A ball is made of a material of density ρ where ρ_oil <ρ < ρ_water with ρ_oil and ρ_water representing the densities of oil and water respectively. The oil and water are immiscible. If the above ball is in equilibrium in a mixture of this oil and water, which of the following pictures represents its equilibrium position?

The remainder left out when 8²ⁿ – (62)²ⁿ⁺¹ is divided by 9, is