List of practice Questions

The total energy of particle performing SHM depend on

If $\overrightarrow{a}, \overrightarrow{b}$ and $ \overrightarrow{c}$ are unit vectors, then $|\overrightarrow{a}-\overrightarrow{b} |^2+| \overrightarrow{b}-\overrightarrow{c}|^2+| \overrightarrow{c}-\overrightarrow{a}|^2$ does not exceed

Two circular coils can be arranged in any of the three situations shown in the figure. Their mutual inductance will be

If $f (x) = xe^{x(1-x)}$ , then f (x) is

The value of $\int^{\pi}_{-\pi} \frac{ \cos^2 \, x }{ 1 + a^x } \, dx , a> 0 $ is

Which of the following species are restricted to a given area?

When the temperature of reactions will increase then the effect on $pH$ value will

In which of the following $p \pi$ - $d \pi$ bonding is possible?

A battery of emf 10V and internal resistance 0.5 ohm is connected across a variable resistance R. The value of R for which the power delivered in it is maximum is given by :

A wire of length $L$ and $3$ identical cells of negligible internal resistances are connected in series. Due to the current, the temperature of the wire is raised by $\Delta T$ in a time $t$. A number $N$ of similar cells is now connected in series with a wire of the same material and cross-section but of length $4\,L$. The temperature of the wire is raised by the same amount $\Delta T$ in the same time. The value of $N$ is

In the given circuit, it is observed that the current I is independent of the value of the resistance $R_6$. Then, the resistance values must satisfy

Electric appliances with metallic body e.g., heaters, presses etc., have three pin connections, whereas an electric bulb has a two pin connection. Three pin connections reduce heating of connecting cables.

Which salt shows maximum osmotic pressure in its 1 M solution?

A particle executes simple harmonic motion between x = - A and x = + A. The time taken for it to go fromO to A /2 is $T_1$ and to go from $ A/2 \, \, to \, \, A \, is \, T_2, $ then

The rate of a first order reaction is $ 0.693\times {{10}^{-2}}\,mol\,{{L}^{-1}}\,{{\min }^{-1}} $ and the initial concentration of the reactants is 1 M, $ {{t}_{1/2}} $ is equal to:

If I is the intensity of absorbed light and C is the concentration of AB for the photochemical process.$AB + hv\rightarrow$ AB, for the rate of formation of AB is directly proportional to

In the standardisation of Na$_2S_2O_3$ using K$_2Cr_2O_7$ by iodometry, the equivalent weight of K$_2Cr_2O_7$ is

The reaction,$3CIO^{-}(aq)\rightarrow CIO_3^- (aq)+2CI^-(aq)$ is an example of

An aqueous solution of $6.3\, g$ oxalic acid dehydrate is made upto $250\, mL$. The volume of $0.1N\, NaOH$ required to completely neutralize $10 \,ml$. of this solution is

If a charged spherical conductor of radius 10 cm has potential V at a point distant 5 cm from its centre, then the potential at a point distant 15 cm from the centre will be:

A charge is placed at the centre of cube of side a then flux linked with one of its given faces will be

The working principle of a ball point pen is:

Energy per unit volume for a capacitor having area A and separation d kept at potential difference V is given by

A parallel plane condenser is filled with two dielectrics as shown in figure. Area of each plate is A in m2 and the separation is d metre. The dielectric constants are $ {{K}_{1}} $ and $ {{K}_{2}} $ respectively. Its capacitance in farad will be:

A uniform electric field pointing in positive x-direction exists in a region let Abe the orgin B be the point on the x-axis at x = +1 cm and C be the point on the Y axis at y = +1cm. Then the potentials at the points A, B and C satisfy