In alcohol fermentation,

$A$ particle performs linear $SHM$. At a particular instant,the velocity of the particle is $u$ and acceleration is $\alpha$ (both having the same direction). At another instant,the velocity is $v$ and acceleration is $\beta$ $(0 < \alpha < \beta)$ (both in opposite directions to each other). The distance between the two positions is

$A$ ball is thrown on a lawn in such a way that it initially slides with a speed $v_0$ without rolling. It gradually picks up rotational motion. Find the speed of the ball at which there will be rolling without slipping.

What characteristics do you expect from an electron-deficient hydride with respect to its structure and chemical reactions?

$A$ thermally insulated vessel contains an ideal gas of molecular mass $M$ and ratio of specific heats $\gamma$. It is moving with speed $v$ and is suddenly brought to rest. Assuming no heat is lost to the surroundings,its temperature increases by