List of practice Questions

Two capacitors of capacities $1 \, \mu F$ and $C \, \mu F$ are connected in series and the combination is charged to a potential difference of $120 \,V$. If the charge on the combination is $80 \, \mu C$, the energy stored in the capacitor of capacity $C$ in $\mu J$ is

In the Wheatstone's network given, \(P = 10\,\Omega , Q = 20\,\Omega , R = 15 \,\Omega , S = 30 \,\Omega\), the current passing through the battery (of negligible internal resistance) is

The potential of a large liquid drop when eight liquid drops are combined is 20 V. Then the potential of each single drop was

In hydrogen a atom, an electron is revolving in the orbit of radius $0.53\,�$ with $6.6 \times 10^{15}$ radiations/s. Magnetic field produced at the centre of the orbit is

In photoelectric emission process from a metal of work function $1.8 \,eV,$ the kinetic energy of most energetic electrons is $0.5 \,eV$. The corresponding stopping potential is

In the figure shown, the magnetic field induction as the point $O$ will be

A direct $X$ -ray photograph of the intenstines is not generally taken by radiologists because

The kinetic energy of an electron get tripled then the de-Broglie wavelength associated with it changes by a factor

A parallel plate capacitor has capacitance $C$. If it is equally filled the parallel layers of materials of dielectric constant $K_1$ and $K_2$ its capacity becomes $C_1$. The ratio of $C_1 $ and $C$ is

The maximum value of $4 \, \sin^2 \, x - 12 \sin \, x + 7$ is

If $A = \begin{bmatrix}1&-5&7\\ 0&7&9\\ 11&8&9\end{bmatrix}$, then trace of matrix $A$ is

If $(-3, 2)$ lies on the circle $x^2 + y^2 + 2gx + 2fy + c = 0$, which is concentric with the circle $x^2 + y^2 + 6x + 8y - 5 = 0,$ then c is equal to

The value of the determinant $\begin{vmatrix}\cos\alpha&-\sin\alpha&1\\ \sin \alpha&\cos\alpha&1\\ \cos\left(\alpha+\beta\right)&-\sin\alpha+\beta&1\end{vmatrix} $ is

A straight line through the point A(3, 4) is such that its intercept between the axes is bisected at A, its equation is

In the given circuit, the AC source has ? = 100 rad/s. Considering the inductor and capacitor to be ideal, the correct choice(s) is(are)

A uniform thin bar of mass $6m$ and length $12L$ is bent to make a regular hexagon. Its moment of inertia about an axis passing through the centre of mass and perpendicular to the plane of hexagon is

A has sexual intercourse with his own wife aged about 14 years with her consent. A committed:

The Memorandum of Association of a listed company shall be as per:

Which of the following clauses from the Memorandum of Association cannot be amended?

In the IPC, nothing is an offence which is done by a Child under:

Right of private defence of the body extends to voluntarily causing death if the offence, which occasions the exercise of right:

Under Section 498A, the ‘Cruelty’ means and includes:

What is the offence where preparation itself of an offence is punishable:

In Rex v. Govinda, the points of distinction between the two provisions of the IPC were explained:

The Negotiable Instruments Act, 1881 came into force on: