List of practice Questions

When a mass is rotating in a plane about a fixed point, its angular momentum is directed along

The common bottle cork is a product of

If $v_e$ is escape velocity and $v _o$ is orbital velocity of a satellite for orbit close to the earth's suface, then these are related by

A car of mass m starts from rest and accelerates so that the instantaneous power delivered to the car has a constant magnitude $P_0$. The instantaneous velocity of this car is proportional to

Earthworms have no skeleton but during burrowing, the anterior end becomes turgid and acts as a hydraulic skeleton. It is due to

Standard electrode potential of three metals $X, Y $ and $Z$ are $-1.2\,V, + 0.5\,V$ and $-3.0\,V $respectively. The reducing power of these metals will be

A conveyor belt is moving at a constant speed of $2\, ms^{-1}.$ A box is gently dropped on it. The coefficient of friction between them is $\mu = 0.5$. The distance that the box will move relative to belt before coming to rest on it, taking $g = 10\, ms^{-2}$, is

$200 \,mL$ of an aqueous solution of a protein contains its $1.26\, g$. The Osmotic pressure of this solution at $300\, K$ is found to be $2.57 \times 10^{-3}$ bar. The molar mass of protein will be ($R = 0.083 \, L\, bar\, mol^{-1} \, K^{-1}$):

By what factor does the average velocity of a gaseous molecule increase when the temperature (in kelvin) is doubled?

Enthalpy change for the reaction, $4 H _{( g )} \rightarrow 2 H _{2( g )}$ is $-869.6\, kJ$ The dissociation energy of $H - H$ bond is

The complexes $[Co(NH_3)_6][Cr(CN)_6]$ and $[Cr(NH_3)_6][Co(CN)_6]$ are the examples of which type of isomerism?

The potential energy of a system increases if work is done

The correct order of increasing bond length of $ C - H, C - O, C - C$ and $ C = C $ is

$\int \frac{\sin 2 x}{\sin ^{4} x+\cos ^{4} x}$ is equal to:

This reaction is called

Which of the following does not contain any coordinate bond?

A toroidal solenoid with an air core has an average radius of $15 \,cm$, area if crosssection $12\, cm ^{2}$ and $1200$ turns. Ignoring the field variation across the cross- section of the toroid, the self-inductance of the toroid is:-

The linear momentum $p$ of a body moving in one dimension varies with time $t$ according to the equation $p = a + bt^2$, where $a$ and $b$ are positive constant. The net force acting on the body is

In which of the following molecules $S$ atom does not assume $sp ^{3}$ hybridsation?

A steady current flow in a metallic conductor of non-uniform cross-section. The quantity/quantities remaining constant along the whole length of the conductor is/are

The solutions set of inequation $\cos^{-1}x < \,\sin^{-1}x$ is

Let R be the set of real numbers A = {(x, y) $\in$ R $\times$ R : y - x is an integer} is an equivalence relation on R. B = {(x, y) $\in$ R $\times$ R : x = $\alpha$y for some rational number $\alpha$} is an equivalence relation on R.

Let $f (x)$ and $g(x)$ be differentiable functions on (0, 2] such that $f"(x) - g"(x) = 0, f'(1) = 2g'(1) = 4, f(2) = 3g(2) = 9.$ Then $f (x)- g(x)$ at $ x = 3/2$ is

If $f\left(x\right) = \frac{x^{2} -1}{x^{2} +1} ,x\in R$ then the minimum value of $f$ is