List of practice Questions

The magnetic field B crossing normally a square metallic plate of area \( 4 \, \text{m}^2 \) is changing with time as shown in the figure. The magnitude of induced emf in the plate during \( t = 2 \, \text{s} \) to \( t = 4 \, \text{s} \) is _______ mV.

The length of a wire becomes \( l_1 \) and \( l_2 \) when 100 N and 120 N tensions are applied respectively. If \( l_1 = 11 \, \text{l}_0 \), the natural length of the wire will be \( \frac{1}{x} \, l_1 \). Here the value of \( x \) is _____

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is \( x \times 10^{15} \, \text{Hz} \). The value of \( x \) is_______

A force \( \mathbf{F} = (2 + 3x) \hat{i})\) acts on a particle in the \( x \)-direction where \( F \) is in newton and \( x \) is in meter. The work done by this force during a displacement from \( x = 0 \) to \( x = 4 \, \text{m} \) is _____ J.

As shown in the figure, a configuration of two equal point charges (q₀ = + 2 \(\mu\)C) is placed on an inclined plane. Mass of each point charge is 20g. Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height \( h = x \times 10^{-3} \, \text{m} \). The value of \( x \) is _____

A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular speed of 10 rad/s. If the moment of inertia of the sphere about its tangent is \( x \times 10^2 \) times its angular momentum about the diameter. Then the value of \( x \) will be_____

The equation of wave is given by \( Y = 10^2 \sin 2 \pi \left( (60t - 0.5x + \frac{\pi}{4}) \right) \) where \( x \) and \( Y \) are in m and t in s. The speed of the wave is _____ km h\(^{-1}\).

A projectile fired at \(30^{\circ}\) to the ground is observed to be at the same height at time 3s and 5s after projection, during its flight. The speed of projection of the projectile is_____ ms\(^{-1}\).

Match list I with list II:

List I		List II
A	K	I	Thermonuclear reactions
B	KCl	II	Fertilizer
C	KOH	III	Sodium potassium pump
D	Li	IV	Absorbent of CO2

Choose the correct answer from the options given below:

Thin layer chromatography of a mixture shows the following observation:

The correct order of elution in the silica gel column chromatography is .

Given below are two statements:
Statement I: Methane and steam passed over a heated Ni catalyst produces hydrogen gas.
Statement II: Sodium nitrate reacts with NH\(_4\)Cl to give H\(_2\)O and NaCl.

Find out the correct statement from the options given below for the above 2 reactions.

For elements B, C, N, Li, Be, O and F, the correct order of first ionization enthalpy is:

In the extraction process of copper, the product obtained after carrying out the reactions \[ \text{CuO} + \text{H}_2 \rightarrow \text{Cu} + \text{H}_2 \text{O} \] is called:

Given below are two statements:
Statement I: If BOD value is 4 ppm and dissolved oxygen is 8 ppm, it is a good quality water.
Statement II: If the concentration of zinc and nitrate is 5 ppm, then it can be used as good quality water.

In the above reaction 'A' and 'B' are:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: In the photoelectric effect electrons are ejected from the metal surface as soon as the beam of light of frequency greater than threshold frequency strikes the surface.
Reason R: When the photon of any energy strikes an electron in the atom transfer of energy from the photon to the electron takes place.

The complex that dissolves in water is:

A mixture of 1 mole of H₂O and 1 mole of CO is taken in a 10 liter container and heated to 725 K. At equilibrium, 10 M of water by mass reacts with carbon monoxide according to the equation: \[ CO(g) + H_2O(g) \rightleftharpoons CO_2(g) + H_2(g) \] The equilibrium constant \( K_c \times 10^7 \) for the reaction is ______

An atomic substance A of molar mass 12 g mol$^{-1}$ has a cubic crystal structure with edge length of 300 pm. The no. of atoms present in one unit cell of A is _____ (Nearest integer)

The ratio of spin-only magnetic moment values \( \mu_{\text{eff}}[Cr(CN)_6]^{3-}/\mu_{\text{eff}}[Cr(H_2O)_6]^{3+} \) is_____

Two waves executing simple harmonic motion travelling in the same direction with same amplitude and frequency are superimposed The resultant amplitude is equal to the $\sqrt{3}$ times of amplitude of individual motions The phase difference between the two motions is _______(degree)

A solution of sugar is obtained by mixing 200g of its 25% solution and 500g of its 40% solution (both by mass). The mass percentage of the resulting sugar solution is ______ (Nearest integer)

0.004 M K₂SO₄ solution is isotonic with 0.01 M glucose solution. Percentage dissociation of K₂SO₄ is______ (Nearest integer)