A truck of mass \(\mathrm{M}\) and a car of mass \(\frac{\mathrm{M}}{10}\) moving with same momentum are brought to halt by the application of same breaking force. The ratio of the distances travelled by truck and car before they come to stop is

Names of units of some physical quantities are given in List-I and their dimensions formulae are given in List-Il. Match the correct pairs in the lists
\(\begin{array}{ll|ll}
\hline & \text{ List-I } & \text{ List-II } \\
\hline A. & \mathrm{Pa}-\mathrm{s} & (i) & {\left[\mathrm{L}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline B. & \mathrm{NmK}^{-1} & (ii) & {\left[\mathrm{MLT}^{-3} \mathrm{~K}^{-1}\right]} \\
\hline C. & \mathrm{J} \mathrm{kg}^{-1} \mathrm{~K}^{-1} & (iii) & {\left[\mathrm{ML}^{-1} \mathrm{~T}^{-1}\right]} \\
\hline D. & \mathrm{Wm}^{-1} \mathrm{~K}^{-1} & (iv) & {\left[\mathrm{ML}^2 \mathrm{~T}^{-2} \mathrm{~K}^{-1}\right]} \\
\hline
\end{array}\)
\(\begin{array}{llll}A & B & C & D\end{array}\)

The magnetic field, of a given length of wire for single turn coil, at its center is $\text{'}B\text{'}$. then its value for two turns coil for the same wire is

The relation between the pressure \((\mathrm{P})\), volume \((\mathrm{V})\) and average kinetic energy (E) of a gas is

If the earth stops rotating in its orbit about the sun, there will be variation in the weight of our bodies at

The resistance between points A and C in the given network is

Lenz's law is a consequence of the law of conservation of

Match the following?

	Molecule		Geometry
(a)	${\mathrm{SnCl}}_2$	(i)	Angular (or) Bent
(b)	${\mathrm{XeF}}_4$	(ii)	See-saw
(c)	${\mathrm{ClF}}_3$	(iii)	Square pyramidal
(d)	${\mathrm{IF}}_5$	(iv)	T-shape
			Square planar

A uniform chain of length \(L\) is lying on the horizontal table. If the coefficient of friction between the chain and the table top is \(\mu\), what is the maximum length of the chain that can hang over the edge of the table without disturbing the rest of the chain on the table?

The curve \(f(x)=e^x \sin x\) is defined in the interval \([0,2 \pi]\). The value of \(x\) for which the slope of the tangent drawn to the curve at \(x\) is maximum, is

For two events $A$ and $B$, a true statement among the following is

When \(\mathrm{CaCl}_2\) is added to \(\mathrm{AgCl}\) crystal, the defect introduced is

If \(\mathrm{C}_{\mathrm{j}}\) stands for \({ }^{\mathrm{n}} \mathrm{C}_{\mathrm{j}}\), then
\(\frac{\mathrm{C}_0}{2}+\frac{\mathrm{C}_1}{2.2^2}+\frac{\mathrm{C}_2}{3.2^3}+\ldots+\frac{\mathrm{C}_{\mathrm{n}}}{(\mathrm{n}+1) 2^{\mathrm{n}+1}}=\)