A capacitor charged from a 50 V d.c. supply is found to have a charge of \( 10 \ \mu\text{C} \).The capacitance of the capacitor would be:

The photoelectric current is directly proportional to the number of photo electrons emitted per second. This implies that

Self Inductance of coil causes :

Which of the following causes electric conduction in a semiconductor?

Two waves of amplitudes 3 m and 2 m, respectively superimpose at a point in the same phase. The resultant amplitude would be:

What is the distance that a beam of light of wavelength 500 nm can travel without significant broadening, if the diffracting aperture is 3 mm wide ?

A moving coil galvanometer has a coil of effective area \( A \), number of turns \( N \). The magnetic field \( B \) is radial. If current \( I \) is passed through the coil, the torque acting on the coil is:

Let us consider an annuity whose periodic payment is ₹ R payable at the end of each payment period for ' \(n ^{\prime}\) periods, interest paid r% per period or \(i=\frac{r}{100}\), so the amount.

The value of \(\left|\begin{array}{ccc}x & x+y & x+y+z \\ 2 x & 3 x+2 y & 4 x+3 y+2 z \\ 3 x & 6 x+3 y & 10 x+6 y+3 z\end{array}\right|\) is

Answer the question on basis of passage given below :
Transition metals form a large number of complexes or coordination compounds in which the metal atoms are bound to a number of anions or neutral molecules. The valence bond theory explain the formation, magnetic behaviour and geometrical shapes while the crystal field theory explains the effect of different crystal fields on the degeneracy of d-orbitals energies of the central metal atom/ion. This provides for the quantitative estimation of orbital separation energies, magnetic moments and spectral and stability parameters.

List - I	List - II
A. Mn2+	I. Yellow
B. \(F e 3+\)	II. Green
C. \(N i 2+\)	III. Blue
D. \(Cu 2+\)	IV. Pink

Choose the correctanswer from the options given below:

Choose an incorrect statement from the following about Kirchhoff's rules of electric circuits:

Three point charges are placed at the corners of an equilateral triangle ABC as shown. The work done to put together these charges from infinity to their respective locations is

\(y=\log _e\left(\frac{1-x^2}{1+x^2}\right)\), then \(\frac{d y}{d x}\) is equal to: