List of top Questions asked in WBJEE- 2019

Two weights of the mass m$_1 $and m$_2$ (> m$_1$) are joined by an inextensible string of negligible mass passing over a fixed frictionless pulley. The magnitude of the acceleration of the loads is

The number of irrational terms in the expansion of $ \left(3^{\frac{1}{8}}+5^{\frac{1}{4}}\right)^{84}$ is

Two particles are simultaneously projected in the horizontal direction from a point P at a certain height. The initial velocities of the particles are oppositely directed to each other and have magnitude v each. The separation between the particles at a time when their position vectors (drawn from the point P) are mutually perpendicular, is

What is the current I shown in the given circuit?

Two black bodies A and B have equal surface areas and are maintained at temperatures 27?C and 177?C respectively. What will be the ratio of the thermal energy radiated per second by A to that by B?

The conformations of n-butane, commonly known as eclipsed, gauche and anti-conformations can be interconverted by

A particle with charge q moves with a velocity v in a direction perpendicular to the directions of uniform electric and magnetic fields, E and B respectively, which are mutually perpendicular to each other. Which one of the following gives the condition for which the particle moves undeflected in its original trajectory?

What will be the molar specific heat at constant volume of an ideal gas consisting of rigid diatomic molecules?

Consider the given diagram. An ideal gas is contained in a chamber (left) of volume V and is at an absolute temperature T. It is allowed to rush freely into the right chamber of volume V which is initially vacuum. The whole system is thermally isolated. What will be the final temperature of the system after the equilibrium has been attained ?

There are 7 greetings cards, each of a different colour and 7 envelopes of same 7 colours as that of the cards. The number of ways in which the cards can be put in envelopes, so that exactly 4 of the cards go into envelopes of respective colour is,

A variable line passes through the fixed point ($\alpha,\,\beta$). The locus of the foot of the perpendicular from the origin on the line is,

A square conducting loop is placed near an infinitely long current carrying wire with one edge parallel to the wire as shown in the figure. If the current in the straight wire is suddently halved, which of the following statements will be true? "The loop will ....... "

At constant pressure, the heat of formation of a compound is not dependent on temperature, when

Which one of the following electronic arrangements is absurd ?

A small spherical body of radius r and density ? moves with the terminal velocity v in a fluid of coefficient of viscosity $\eta$ and density $\sigma$. What will be the net force on the body ?

The correct order of the addition reaction rates of halogen acids with ethylene is