List of practice Questions

A steady current of 2 A is flowing through a conducting wire. The number of electrons flowing per second in it is:

What is the mass of crystalline oxalic acid (molar mass = 126 g/mol) present in 50 mL of 0.02N aqueous oxalic acid solution?

A proton and a photon have the same energy. Then the de-Broglie wavelength of proton $ \lambda_p $ and wavelength of photon $ \lambda_0 $ are related by:

If $ x = \cos 2t + \log (\tan t) $ and $ y = 2t + \cot 2t $, then $ \frac{dy}{dx} $ is:

If the inverse point of the point $P(3,3)$ with respect to the circle $x^2 + y^2 - 4x + 4y + 4 = 0$ is $Q(a,b)$, then $a + 5b =$

The critical temperature of A, B, C, D gases are 190 K, 630 K, 261 K, 400 K respectively. The quantity of gas adsorbed per gram of charcoal at same pressure is least for the gas

If the magnetic field energy stored in an inductor changes from maximum to minimum value in 5 ms, when connected to an a.c. source, the frequency of the a.c. source is:

If on average 4 customers visit a shop in an hour, then the probability that more than 2 customers visit the shop in a specific hour is:

Choose the INCORRECT dimensions:

The terminal potential difference of a cell in the open circuit is 2 V. When the cell is connected to a 10$\omega$ resistor, the terminal potential difference falls to 1.5 V. The internal resistance of the cell is:

Given $ \cos B - \sin A = \frac{\sqrt{3}+1}{4\sqrt{2}} $ and $ 2 \cos A \cos B = \frac{1+\sqrt{2}+\sqrt{3}}{2\sqrt{2}} $, calculate $ \cos^2 \frac{4B}{3} - \sin^2 \frac{4A}{5} $:

A man loses 50% of his velocity after running a distance of 100 m. If his retardation is uniform, the distance he will cover before coming to rest is

A boy sitting in a bus moving at a constant velocity throws a ball vertically up in the air. The ball will fall:

If $ y = \frac{\tan x \cos^{-1}x}{\sqrt{1 - x^2}} $, then the value of $ \frac{dy}{dx} $ when $ x = 0 $ is:

If $m\cos(\alpha + \beta) - n\cos(\alpha - \beta) = m\cos(\alpha - \beta) + n\cos(\alpha + \beta)$, then $\tan \alpha \tan \beta$ is:

At 300 K, the vapour pressures of A and B liquids are 500 and 400 mm Hg respectively. Equal moles of A and B are mixed to form an ideal solution. The mole fraction of A and B in vapor state is respectively.

The centroid of a variable triangle ABC is at the distance of 5 units from the origin. If A = (2,3) and B = (3,2), then the locus of C is:

A balloon of mass 60 g is moving up with an acceleration of 4 m/s$^2$. The mass to be added to the balloon to descend it down with the same acceleration is (g = 10 m/s$^2$):

A wire of length $100 \text{ cm}$ and area of cross-section $2 \text{ mm}^2$ is stretched by two forces of each $440 \text{ N}$ applied at the ends of the wire in opposite directions along the length of the wire. If the elongation of the wire is $2 \text{ mm}$, the Young’s modulus of the material of the wire is:

The decrease in each day in the Uranium mass of the material in a Uranium reactor operating at a power of 12 MW is (Energy released in one $^{92}U$ fission is about 200 MeV)

If

\[ \cosh^{-1}\left(\frac{5}{3}\right) + \sinh^{-1}\left(\frac{3}{4}\right) = k, \]

then $ e^k $ is:

A compound is formed by atoms of A, B and C. Atoms of C form hcp lattice. Atoms of A occupy 50% of octahedral voids and atoms of B occupy $\frac{2}{3}$ of tetrahedral voids. What is the molecular formula of the solid?

In the travelling plane wave equation given by $ y = A \sin \omega \left( \frac{x}{v} - t \right) $, where $ \omega $ is the angular velocity and $ v $ is the linear velocity.
The dimension of $ \omega t $ is:

Which of the following are the conditions for a reaction spontaneous at all temperatures?

Arrange the following halides in decreasing order of their reactivity towards dehydrohalogenation: