List of practice Questions

Fill in the blank with the correct form of the verb:
When the violinist finished, the audience ________ for five minutes.
Fill in the blank with the correct Article:
______ Newton is a great scientist.
Fill in the blank with the correct Article:
We decided to go boating on __________ Dal lake
A simple harmonic oscillator of angular frequency $2 \,rad \,s^{-1}$ is acted upon by an external force $F= \sin\, t \,N$. If the oscillator is at rest in its equilibrium position at $t\, =\, 0$, its position at later times is proportional to :
A ball is projected up at an angle $\theta$ with horizontal from the top of a tower with speed $v$. It hits the ground at point $A$ after time $t_{A}$ with speed $v_{A}$ . Now, this ball is projected at same angle and speed from the base of the tower (located at point $P$) and it hits ground at point $B$ after time $t_{B}$ with speed $v_{B}$. Then
$3\,g$ of activated charcoal was added to $50\,mL$ of acetic acid solution ($0.06\,N$) in a flask. After an hour it was filtered and the strength of the filtrate was found to be $0.042\, N$. The amount of acetic acid adsorbed (per gram of charcoal) is
$A +2 B +3 C \rightleftharpoons AB _{2} C _{3}$ Reaction of $6.0\, g$ of $A , 6.0 \times 10^{23}$ atoms of $B$, and $0.036\, mol$ of $C$ yields $4.8\, g$ of compound $AB _{2} C _{3}$. If the atomic mass of $A$ and $C$ are 60 and 80 amu respectively, the atomic mass of $B$ is (Avogadro no. $=6 \times 10^{23}$ ):
A sample of a hydrate of barium chloride weighing $61\, g$ was heated until all the water of hydration is removed. The dried sample weighed $52\, g.$ The formula of the hydrated salt is : (atomic mass, $Ba = 137\, amu. Cl = 35.5\, amu$)
A solution at $20^{\circ}$C is composed of $1.5\, mol$ of benzene and $3.5\, mol$ of toluene. If the vapour pressure of pure benzene and pure toluene at this temperature are $74.7$ torr and $22.3$ torr, respectively, then the total vapour pressure of the solution and the benzene mole fraction in equilibrium with it will be, respectively :
The hybridisation of atomic orbital of nitrogen in $ NO_2^{+}, NO_{3}^{-} $ and $ NH_{4}^{+} $ are respectively
The intermolecular interaction that is dependent on the inverse cube of distance between the molecules is
When $5\,V$ potential difference is applied across a wire of length $0.1\,m$, the drift speed of electrons is $2.5\times10^{-4}$ $ms^{-1}$. If the electron density in the wire is $8\times10^{28}\, m^{-3}$ the resistivity of the material is close to
The ionic radii (in $?$) of $N^{3-},O^{2-} $ and $F^-$ respectively are
The number of geometric isomers that can exist for square planar $\left[ Pt ( Cl )( py )\left( NH _{3}\right)\right.$ $\left.\left( NH _{2} OH \right)\right]^{+}$ is $( py =$ pyridine $):$
If $\log _{0.2}(x-1)>\log _{0.04}(x+5)$, then
The half life of a radioactive substance is $20\, minutes$. The time taken between $50\%$ decay and $87.5\%$ decay of the substance will be
A person is standing on a weighing-scale and observes that the reading is $60\,kg$ . He then suddenly jumps up and observes that reading goes to $70\,kg$ . Then his maximum upward acceleration is
Consider a spherical shell of radius $R$ at temperature $T$. The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume $u=\frac{U}{V} ? T^4$ and pressure $p=\frac{1}{3}\bigg(\frac{U}{V}\bigg)$ If the shell now undergoes an adiabatic expansion, the relation between $T$ and $R$ is
Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^q$ , where $V$ is the volume of the gas. The value of $q$ is $\bigg(\gamma =\frac{C_p}{C_v}\bigg)$
A solid body of constant heat capacity $1 \, J/^{\circ}C$ is being heated by keeping it in contact with reservoirs in two ways (i) Sequentially keeping in contact with $2$ reservoirs such that each reservoir supplies same amount of heat. (ii) Sequentially keeping in contact with $8$ reservoirs such that each reservoir supplies same amount of heat. In both the cases, body is brought from initial temperature $100^{\circ}C$ to final temperature $200^{\circ}C$. Entropy change of the body in the two cases respectively, is
As an electron makes a transition from an excited state to the ground state of a hydrogen- like atom/ion
A long cylindrical shell carries positive surface charge $\sigma$ in the upper half and negative surface charge $-\sigma$ in the lower half. The electric field lines around the cylinder will look like figure given in: (figures are schematic and not drawn to scale)
Which of the following compounds is not colored yellow?
Which of the following statements is not correct?
Cell wall is absent in