List of practice Questions

The displacement of a particle executing SHM is given by $ X = 0.01 \sin 100\pi (t + 0.05) $. The time period of the particle is:

What happens when $ \mathrm{H_2O_2} $ is added to an aqueous solution of ferrous sulphate in an acidic medium?

In Young's double slit experiment, the intensity at a point where the path difference is $ \frac{\lambda}{6} $ ( $ \lambda $ being the wavelength of the light used) is $ I $. If $ I_0 $ denotes the maximum intensity, $ \frac{I}{I_0} $ is equal to

The domain in ferromagnetic material is in the form of a cube of side 2 mum. Number of atoms in that domain is $9 \times 10^{10}$ and each atom has a dipole movement of $9 \times 10^{-24} \, \text{Am}^2$. The magnetisation of the domain is (approximately).

When a signal is applied to the input of a transistor it was found that output signal is phase-shifted by 180$^\circ$. The transistor configuration is

At STP $x$ g of a metal hydrogen carbonate (MHCO$_3$) (molar mass $84 \, {g/mol}$) on heating gives CO$_2$, which can completely react with $0.02 \, {moles}$ of MOH (molar mass $40 \, {g/mol}$) to give MHCO$_3$. The value of $x$ is:

A body is executing simple harmonic motion. At a displacement $ x $, its potential energy is $ E_1 $, and at a displacement $ y $, its potential energy is $ E_2 $. The potential energy $ E $ at a displacement $ (x + y) $ is:

A → P is a zero-order reaction. At 298 K, the rate constant of the reaction is $ 1 \times 10^{-3} $ mol L$^{-1}$ s$^{-1}$. Initial concentration of 'A' is 0.1 mol L$^{-1}$. What is the concentration of 'A' after 10 sec?

Hydrated sodium aluminum silicate is called:

A particle starts from rest and moves in a straight line. It travels a distance $2L$ with uniform acceleration and then moves with a constant velocity a further distance of $L$. Finally, it comes to rest after moving a distance of $3L$ under uniform retardation. Then the ratio of average speed to the maximum speed $ \left( \frac{V_{avg}}{V_{m}} \right) $ of the particle is:

A short magnet oscillates with a time period of 0.1 s at a place where the horizontal magnetic field is 24 $\mu T$. A downward current of 18 A is established in a vertical wire kept at a distance of 20 cm east of the magnet. The new time period of oscillations of the magnet is:

The number of –OH groups in open chain and ring structures of D-glucose are respectively

At $ T(K) $, two liquids A and B form an ideal solution. The vapour pressures of pure liquids A and B at that temperature are 400 and 600 mm Hg respectively. If the mole fraction of liquid B is 0.3 in the mixture, the mole fractions of A and B in vapour phase respectively are:

In which of the following Galvanic cells, emf is maximum? (Given: $ E^\circ_{\text{Mg}} = -2.36 \, V $ and $ E^\circ_{\text{Cl}_2/\text{Cl}^-} = +1.36 \, V $)

An object lying 100 cm inside water is viewed normally from air. If the refractive index of water is $ \frac{4}{3} $, then the apparent depth of the object is:

Taxonomic keys are based on

Identify wrong matching

Assertion [A]: Scale leaves of rhizome of ginger are vegetative propagules.
Reason [R]: Vegetative propagules of flowering plants are capable of giving new offsprings.

The increased sodium and chloride content in sweat and increased resorption of sodium and water from respiratory epithelium are genetic defects of

If the input frequency is 50 Hz, the output frequency of a full wave rectifier is:

The dissociation constants of a diacid HA are $K_{a1} = 6 \times 10^{-2}$ and $K_{a2} = 6 \times 10^{-5}$. The pH of 0.011 M $HA$ solution is 2.0. What is the value of $\left[\frac{{A}^-}{{HA}}\right]$?

Two statements are given below:
I. SO₂ is used as antioxidant in wine
II. BHA is used as food preservative in dry fruits

At 300 K, for the reaction, \[ \text{A}_2 \text{B}_2(g) \rightleftharpoons \text{A}_2(g) + \text{B}_2(g) \]
$\text{is 100 mol L}^{-1}$. $\text{What is its } K_p \text{(in atm)} \text{at the same temperature?} $
$\text{(R = 0.082 L atm mol}^{-1}$ $\text{K}^{-1}) $

Function of oligodendrocytes is:

If the earth shrinks until its radius becomes $\frac{3}{4}$ of its original, the new duration of the day would be (mass unchanged):