$A$ healthy person eats the following diet: $5 \ gm$ raw sugar,$4 \ gm$ albumin,$10 \ gm$ pure buffalo ghee adulterated with $2 \ gm$ vegetable ghee (hydrogenated vegetable oil) and $5 \ gm$ lignin. How many calories is he likely to get?

Which of the following metals is the most reactive?

Consider the following reaction: $N_{2(g)} + 3H_{2(g)} \longrightarrow 2NH_{3(g)}$. The rate of this reaction in terms of $N_2$ at $T \ K$ is $-\frac{d[N_2]}{dt} = 0.02 \ mol \ L^{-1} \ s^{-1}$. What is the value of $-\frac{d[H_2]}{dt}$ (in units of $mol \ L^{-1} \ s^{-1}$) at the same temperature?

The equation of the circle concentric with the circle $x^2+y^2-6x+12y+15=0$ and having double its area is

In a $CE$ transistor amplifier,the audio signal voltage across the collector resistance of $2\,k\Omega$ is $2\,V$. If the base resistance is $1\,k\Omega$ and the current amplification of the transistor is $100$,the input signal voltage is

The period of oscillation of a mass $M$ suspended from a spring of negligible mass is $T$. If along with it another mass $M$ is also suspended,the period of oscillation will now be