The Young's modulus of a wire is $Y$. If the energy per unit volume is $E$,then the strain will be

$A$ solid sphere of mass $m$ rolls without slipping with velocity $v$ and compresses a spring of spring constant $k$ as shown in the figure. The maximum compression in the spring will be:

The path of a projectile is given by the equation $y = ax - bx^2$,where $a$ and $b$ are constants and $x$ and $y$ are respectively horizontal and vertical distances of the projectile from the point of projection. The maximum height attained by the projectile and the angle of projection are respectively:

The ends of an element of zinc wire are kept at a small temperature difference $\Delta T$ and a small current $I$ is passed through the wire. Then,the heat developed per unit time

If a normal chord at a point $t$ on the parabola $y^2=4ax$ subtends a right angle at the vertex,then $t^2$ equals to

The major product in the following reaction is: