One litre of oxygen at a pressure of $1 ~atm$ and two litres of nitrogen at a pressure of $0.5 ~atm$ are introduced into a vessel of volume $1 ~L$. If there is no change in temperature,the final pressure of the mixture of gas (in $atm$) is

$A$ particle of mass $m$ and charge $q$ is in an electric and magnetic field,given by $\vec{E} = 2 \hat{i} + 3 \hat{j}$ and $\vec{B} = 4 \hat{j} + 6 \hat{k}$. The charged particle is shifted from the origin to the point $P(1, 1)$ along a straight path. The magnitude of the total work done on it is: (in $q$)

The contrapositive of the statement "If two numbers are not equal,then their squares are not equal" is

Who first discovered protoplast fusion?

$A$ conducting circular loop is placed in a uniform magnetic field,$B = 0.025 \, T$,with its plane perpendicular to the magnetic field. The radius of the loop is made to shrink at a constant rate of $1 \, mm/s$. The induced $e.m.f.$ when the radius is $2 \, cm$ is

Which of the following has a cup-shaped thalamus?