Question Bank Directory

The temperature of a gas is $-50^\circ\text{C}$. To what temperature the gas should be heated so that the RMS speed is increased by 3 times?

A monoatomic gas at a pressure $p$, having a volume $V$ expands isothermally to a volume $2V$ and then adiabatically to a volume $16V$. The final pressure of the gas is: (take $\gamma = 5/3$)

Nickel shows the ferromagnetic property at room temperature. If the temperature is increased beyond Curie's temperature, then it will show:

In the given figure, $a=15 \text{ m/s}^2$ represents the total acceleration of a particle moving in the clockwise direction in a circle of radius $R=2.5 \text{ m}$ at a given instant of time. The speed of the particle is:

Two small spherical metal balls, having equal masses, are made from materials of densities $\rho_1$ and $\rho_2$ such that $\rho_1 = 8\rho_2$ and having radii of $1 \text{ mm}$ and $2 \text{ mm}$, respectively. They are made to fall vertically (from rest) in a viscous medium whose coefficient of viscosity equals $\eta$ and whose density is $0.1\rho_2$. The ratio of their terminal velocities would be:

Two wires are made of the same material and have the same volume. The first wire has a cross-sectional area $A$ and the second wire has a cross-sectional area $3A$. If the length of the first wire is increased by $\Delta l$ on applying a force $F$, how much force is needed to stretch the second wire by the same amount?

A particle moves along a straight line OX. At a time t (in seconds), the displacement x (in metres) of the particle from O is given by x = 40 + 12t - t³. How long would the particle travel before coming to rest?

Cell in $G_0$ phase :

The terminal velocity of a copper ball of radius $5 \text{ mm}$ falling through a tank of oil at room temperature is $10 \text{ cm s}^{-1}$. If the viscosity of oil at room temperature is $0.9 \text{ kg m}^{-1} \text{ s}^{-1}$, the viscous drag force is:

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is:

The speed of a swimmer in still water is $20 \text{ m/s}$. The speed of river water is $10 \text{ m/s}$ and is flowing due east. If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes with respect to the north is given by:

The IUPAC name of an element with atomic number 119 is:

Let a wire be suspended from the ceiling (rigid support) and stretched by a weight $W$ attached at its free end. The longitudinal stress at any point of the cross-sectional area $A$ of the wire is:

A particle has initial velocity $(3\hat{i}+4\hat{j})$ and has acceleration $(0.4\hat{i}+0.3\hat{j})$. Its speed after $10 \text{ s}$ is:

A man weighing 80 kg is standing in a trolley weighing 320 kg. The trolley is resting on frictionless horizontal rails. If the man starts walking on the trolley with a speed of 1 m/s, then after 4 s his displacement relative to the ground will be:

Nucleophilic addition reaction will be most favoured in:

A wire of length $L$ and radius $r$ ($r \ll L$) is kept floating on the surface of a liquid of density $\rho$. The maximum radius of the wire for which it may not sink is: (the surface tension of liquid is $T$)

The velocity of a projectile at the initial point $A$ is $(2\hat{i} + 3\hat{j}) \text{ m/s}$. Its velocity (in m/s) at point $B$ (the point where it hits the ground at the same horizontal level) is:

Two non-mixing liquids of densities $\rho$ and $n\rho$ ($n>1$) are put in a container. The height of each liquid is $h$. A solid cylinder floats with its axis vertical and length $L$. The length of the cylinder inside the denser liquid is $pL$ ($p<1$). The density of the cylinder is $d$. The density $d$ is equal to:

The compound that will undergo $\text{S}_\text{N}1$ reaction with the fastest rate is: