List of practice Questions

The particle executing simple harmonic motion has a kinetic energy $ K_0 \cos^2 \omega t $.. The maximum values of the potential energy and the total energy are respectively
A particle executes SHM with a period of $ 8\,s $ and amplitude $ 4\,cm $ . Its maximum speed in $cm/s$, is
A long magnet is cut into two equal parts, such that the length of each half is same as that of original magnet. If the period of original magnet is $T$, the period of new magnet is
The coordinates of a moving particle at any time $t$ are given by $x=\alpha t^{3}$ and $y=\beta t^{3}$. The speed of the particle at time $t$ is given by
In breakdown region, a Zener diode behaves as a
The colloidal system of a solid dispersed in liquid medium, is called
Let $ {{z}_{1}} $ and $ {{z}_{2}} $ be the roots of the equation $ {{z}^{2}}+pz+q=0 $ where p, q are real. The points represented by $ {{z}_{1}},{{z}_{2}} $ and the origin form an equilateral triangle, if
The presence of electric charge on colloidal particles is indicated by the property, called
Two unlike charges of the same magnitude $Q$ are placed at a distance $d$. The intensity of the electric field at the middle point in the line joining the two charges
A heavy uniform rod is hanging vertically from a fixed support. It is stretched by its own weight. The diameter of the rod is
Pure water does not conduct electricity because it is
What is the fuel of atomic pile ?
The refractive indices of glass and water with respect to air are $\frac{3}{2}$ and $\frac{4}{3}$ respectively. Then the refractive index of glass with respect to water is
Given $ tan\text{ }A $ and $ tan\text{ B} $ are the roots of $ {{x}^{2}}-ax+b=0 $ . The value of $ {{\sin }^{2}}(A+B) $ is
A ball is released from the top of a tower. The ratio of work done by force of gravity in first, second and third second of the motion of the ball is
The probability of choosing a number divisible by $6$ or $8$ from among $1$ to $90$ is
A particular force $(F)$ applied on a wire increases its length by $2 \times 10^{-3} m$. To increase the wire's length by $4 \times 10^{-3} m$ the applied force will be
On the set $N$ of all natural numbers define the relation $R$ by $a R b$ if and only if the $G.C.D.$ of $a$ and $b$ is $2$, then $R$ is
The radius of the first Bohr orbit of hydrogen atom is $ 0.529\overset{\text{o}}{\mathop{\text{A}}}\, $ . The radius of the third orbit of $ {{He}^{+}} $ will be
The frequency of vibrating air column in closed organ pipe is n. If its length be doubled and radius halved, its frequency will be nearly
The oxidation state of chromium in chromium trioxide is
The protective action of different lyophilic colloids is expressed in terms of
The reaction intermediate produced, by homolytic cleavage of a bond is called
Two free parallel wires carrying currents in the opposite directions
Two liquid drops have diameters of $1\, cm$ and $1.5\, cm$ The ratio of excess of pressures inside them is