An object is released from a distance ' $r$ ' from the centre of the earth. The velocity of the object at the time of striking the earth will be ( $R=$ radius of earth, $r>R, g=$ acceleration due to gravity)
$[2 \mathrm{gR}(\mathrm{r}-\mathrm{R}) / \mathrm{r}]^{\frac{1}{2}}$
$\left[g R(r-R) / r^2\right]^{\frac{1}{2}}$
$\quad\left[2 \mathrm{gR}(\mathrm{r}-\mathrm{R}) / \mathrm{r}^2\right]^{\frac{1}{2}}$
$\left[g R^2(r-R) / r^2\right]^{\frac{1}{2}}$
According to Bohr's first postulate the kinetic energy $\frac{1}{2} m v^2$ of the electron in C.G.S. system is ( $\mathrm{m}=$ mass of electron, v is its velocity, r is the radius of the stationary orbit around the nucleus with charge Ze )
$\frac{\mathrm{Ze}}{\mathrm{r}^2}$
$\frac{\mathrm{Ze}^2}{\mathrm{r}}$
$\frac{\mathrm{Ze}^2}{2 \mathrm{r}}$
$\frac{\mathrm{Ze}^2}{2 \mathrm{r}^2}$
An air capacitor of plate area ' $A$ ' and separation between the plates is ' $d$ ' has a capacity ' $C$ '. Two dielectric slabs are inserted between its plates in two different manners as shown in figure. The capacitance of a capacitor is

$\frac{\varepsilon_0 A}{d-\frac{t_1}{k_1}+\frac{t_2}{k_2}}$
$\frac{\varepsilon_0 A}{d+t_1+t_2+\frac{t_1}{k_1}+\frac{t_2}{k_2}}$
$\frac{\varepsilon_0 A}{d-t_1-t_2+\frac{t_1}{k_1}+\frac{t_2}{k_2}}$
$\frac{\varepsilon_0 A}{d+t_1+t_2-\frac{t_1}{k_1}-\frac{t_2}{k_2}}$
The output Y of a given logic circuit is (For inputs $\mathrm{A}, \mathrm{B}$ and C )

$\quad \mathrm{Y}=\overline{\mathrm{A}} \cdot(\overline{\mathrm{B}+\mathrm{C}})$
$\mathrm{Y}=(\overline{\mathrm{A} \cdot \mathrm{B}})+(\overline{\mathrm{B} \cdot \mathrm{C}})$
$ \mathrm{Y}=(\overline{\mathrm{A}+\mathrm{B}}) \cdot(\overline{\mathrm{B}+\mathrm{C}})$
$Y=(A+B) \cdot C$
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