Assertion (A) The velocity of a projectile at
a point on its trajectory is equal to the slope at
that point.
Reason (R) The velocity vector at a point
always along the tangent to the trajectory at
that point.

The law which states that 'a variation in an electric field causes magnetic field', is

The ratio of longest wavelength lines in the Balmer and Paschen series of hydrogen spectrum is

In an inelastic collision, after collision the kinetic energy

Match of the following.
\(\begin{array}{ll}
\hline \text{ Column I } & \text{ Column II } \\
\hline \begin{array}{ll}
\text{A. Ratio of } \frac{\Delta Q}{\Delta U} \text{ in an isobaric} \\
\text{process}
\end{array} & 1. \frac{T_1}{\left(T_1-T_2\right)} \\
\hline \begin{array}{ll}
\text{B. Ratio of } \frac{\Delta Q}{\Delta W} \text{ in an isobaric} \\
\text{process}
\end{array} & 2. \frac{T_2}{\left(T_1-T_2\right)} \\
\hline \begin{array}{l}
\text{C. Coefficient of performance} \\
\text{of a refrigerator}
\end{array} & 3. \frac{\gamma}{\gamma-1} \\
\hline \begin{array}{l}
\text{D. Coefficient of performance} \\
\text{of a heat pump}
\end{array} & 4. \gamma \\
\hline
\end{array}\)
Codes
\(\begin{array}{llll}A & B & C & D\end{array}\)

Two resistance 60.36 W and 30.09 W are
connected in par al lel. The equiv a lent
resistance is

A rough inclined plane \(B C E\) of height \(\left(\frac{25}{6}\right) \mathrm{m}\) is kept on a rectangular wooden block \(A B C D\) of height \(10 \mathrm{~m}\), as shown in the figure. A small block is allowed to slide down from the top \(E\) of the inclined plane. The coefficient of kinetic friction between the block and the inclined plane is \(\frac{1}{8}\) and the angle of inclination of the inclined plane is \(\sin ^{-1}(0.6)\). If the small block finally reaches the ground at a point \(F\), then \(D F\) will be (Acceleration due to gravity, \(g=10 \mathrm{~ms}^{-2}\))

If \(\frac{2 x^3+x^2-5}{x^4-25}=\frac{A x+B}{x^2-5}+\frac{C x+1}{x^2+5}\), then \((A, B, C)\) equals to

The value of \({ }^7 P_3-3\left({ }^6 P_2\right)\) is equal to

The index of the power of $x$ occurring in the $5^{\text{th }}$ term from the end in the expansion of ${\left(\frac{x^3}{2}-\frac{2}{x^2}\right)}^{12}$ is

In a $\mathrm{\Delta }ABC, 2x+3y+1=0, x+2y-2=0$ are the perpendicular bisectors of its sides $AB$ and $AC$ respectively and if $A=(3,2),$ then the equation of the side $BC$ is

If the line \(y=2 x+k\) is normal to the parabola \(y^2=4 x\), then \(k=\)

The focal length of a convex lens is \(f\). An object is placed at a distance \(x\) from its first focal point. The ratio of the size of the real image to that of the object is