NEET (UG) Medium Questions

Consider the following compounds: $K{O}_2$, $H_2{O}_2$ and $H_{2}S{O}_4$. The oxidation states of the underlined elements in them are, respectively:

A uniform rod of mass 20 kg and length 5 m leans against a smooth vertical wall making an angle of $60^{\circ }$ with it. The other end rests on a rough horizontal floor. The friction force that the floor exerts on the rod is (take $g=10{\text{m s}}^{-2}$).

A bob of heavy mass $m$ is suspended by a light string of length $l$. The bob is given a horizontal velocity $v_0$ as shown. If the string gets slack at some point $P$ making an angle $\theta$ from the horizontal, the ratio of the speed $v$ of the bob at point $P$ to its initial speed $v_0$ is:

Find the statement that is NOT correct with regard to the structure of a monocot stem.

Consider a water tank shown in the figure. It has one wall at $x=L$ and is very wide in the $z$-direction. When filled with a liquid of surface tension $S$ and density $\rho$, the liquid surface makes a small angle ${\theta }_0({\theta }_0\ll 1)$ with the $x$-axis at $x=L$. If $y(x)$ is the height of the surface, the equation for $y(x)$ is: (take $\theta (x)=\sin \theta (x)=\tan \theta (x)=\frac{dy}{dx}$, $g$ is the acceleration due to gravity)

For the reaction $\mathrm{A}(\mathrm{g})\rightleftharpoons 2\mathrm{B}(\mathrm{g})$, the backward reaction rate constant is higher than the forward reaction rate constant by a factor of 2500 at $1000\mathrm{K}$. $K_p$ for the reaction at $1000\mathrm{K}$ is [Given: $R=0.0831\mathrm{L}\mathrm{atm}\mathrm{mo}{\mathrm{l}}^{-1}{\mathrm{K}}^{-1}$]

If the rate constant of a reaction is $0.03{\mathrm{s}}^{-1}$, how much time does it take for $7.2\mathrm{mol}{\mathrm{L}}^{-1}$ concentration of the reactant to get reduced to $0.9\mathrm{mol}{\mathrm{L}}^{-1}$?
(Given: $\log 2=0.301$)

The electric field in a plane electromagnetic wave is given by $E_z=60\cos (5x+1.5\times 10^{9}t)\text{V/m}$. Then expression for the corresponding magnetic field is (here subscripts denote the direction of the field):

The current passing through the battery in the given circuit is:

A particle of mass $m$ is moving around the origin with a constant force $F$ pulling it towards the origin. If Bohr model is used to describe its motion, the radius $r$ of the $n$th orbit and the particle's speed $v$ in the orbit depend on $n$ as

Two identical point masses $P$ and $Q$, suspended from two separate massless springs of spring constants $k_1$ and $k_2$, respectively, oscillate vertically. If their maximum speeds are the same, the ratio of the amplitude $A_Q$ of mass $Q$ to the amplitude $A_P$ of mass $P$ is:

A ball of mass $0.5$ kg is dropped from a height of $40$ m. The ball hits the ground and rises to a height of $10$ m. The impulse imparted to the ball during its collision with the ground is (Take $g=9.8{\text{m/s}}^2$)

Identify the suitable reagent for the following conversion

A pipe open at both ends has a fundamental frequency $f$ in air. The pipe is now dipped vertically in a water drum to half of its length. The fundamental frequency of the air column is now equal to:

The plates of a parallel plate capacitor are separated by $d$. Two slabs of different dielectric constants $K_1$ and $K_2$ with thicknesses $\frac{3}{8}d$ and $\frac{d}{2}$, respectively, are inserted between the plates. Due to this, the capacitance becomes two times larger than when there is nothing between the plates. If $K_1=1.25K_2$, the value of $K_1$ is:

A sphere of radius $R$ is cut from a larger solid sphere of radius $2R$ as shown in the figure. The ratio of the moment of inertia of the smaller sphere to that of the rest part of the sphere about the $Y$-axis is:

Two gases $A$ and $B$ are filled at the same pressure in separate cylinders with movable pistons of radii $r_A$ and $r_B$, respectively. On supplying an equal amount of heat to both the systems reversibly under constant pressure, the pistons are displaced by $16\text{cm}$ and $9\text{cm}$, respectively. If the change in their internal energy is the same, then the ratio $\frac{r_A}{r_B}$ is equal to:

A constant voltage of $50\text{V}$ is maintained between the points $A$ and $B$ of the circuit shown in the image. The current through the branch $CD$ of the circuit is:

Three identical heat conducting rods are connected in series as shown in the figure. The rods on the sides have thermal conductivity $2K$ while that in the middle has thermal conductivity $K$. The left end of the combination is maintained at temperature $3T$ and the right end at $T$. The rods are thermally insulated from outside. In steady state, temperature at the left junction is $T_1$ and that at the right junction is $T_2$. The ratio $T_1/T_2$ is:

The Sun rotates around its centre once in 27 days. What will be the period of revolution if the Sun were to expand to twice its present radius without any external influence? Assume the Sun to be a sphere of uniform density.