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For a reaction, $A(g)→A(l),ΔH=−3RT$ The correct statement for the reaction is :

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Distance of the centre of mass of a solid uniform cone from its vertex is $Z_{0}$. If the radius of its base is R and its height is h then $Z_{0}$ is equal to :

The intercepts on x-axis made by tangents to the curve, $y=∫_{0}∣t∣dt,x∈R,$which are parallel to the line $y=2x$, are equal to

The equation of the circle passing through the foci of the ellipse $16x_{2} +9y_{2} =1$, and having centre at (0, 3) is

The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to $α$ times its original magnitude, where $α$ equals.

Let a, b, c and d be non-zero numbers. If the point of intersection of the lines $4ax+2ay+c=0$and $5bx+2by+d=0$ lies in the fourth quadrant and is equidistant from the two axes then

Distance between two parallel planes $2x+y+2z=8$ and $4x+2y+4z+5=0$ is

Let the population of rabbits surviving at a time t be governed by the differential equation $(dpdtt =21 p(t)−200.$If $p(0)=100$, then p(t) equals

Which of the following is the energy of a possible excited state of hydrogen?