The de-Broglie wavelength of neutron at \( 127^\circ \text{C} \) is : (Given Boltzmann constant, \( k = 1.38 \times 10^{-23} \text{ J mole}^{-1} \text{K}^{-1}, h = 6.63 \times 10^{-34} \text{ Js} \), mass of neutron \( m = 1.66 \times 10^{-27} \text{ kg} \))

Four materials \(\mathrm{A}, \mathrm{B}, \mathrm{C}\) and D have the magnetic susceptibilities \(\chi_{m A}, \chi_{m B}, \chi_{m C}\) and \(\chi_{m D}\) respectively. which are related as \(\chi_{m D}<\chi_{m C}<\chi_{m B}<\chi_{m A}\). Which material can be magnetised with maximum ease?

A digital signal
A. does not provides a continuous set of values.
B. can utilise binary system
C. represents values as discrete steps
D. can utilise decimal as well as binary system
Choose the correct anser from the options given below:

The magnetisation at the centre of a bar magnet (magnetic length 10 cm), having pole strength 6.3 A m, and area of cross-section \(A = 0.70 \text{ cm}^2\) is

Choose the incorrect statements from the options given below:
(A) In making a full wave rectifier, the two diodes are connected, with one in forward bias and the second in reverse bias.
(B) In a full wave rectifier, the output frequency is twice the input frequency.
(C) In a full wave rectifier, the current through the load resistance flows in one direction for half cycle and in the reverse direction for the other half cycle.
(D) In a full wave rectifier having two diodes and a resistance, the output voltage is uniform
Choose the correct answer from the options given below:

A proton and an alpha particle moving with equal kinetic energies enter perpendicularly into a magnetic field. If \( r_p \) and \( r_\alpha \) are the respective radii of their circular paths, what will be the ratio \( \frac{r_p}{r_\alpha} \)?

A conducting circular loop is placed in a uniform magnetic field of \( B = 0.5 \text{ T} \), with its plane perpendicular to the magnetic field. The radius of the loop starts shrinking at the rate of \( \frac{dr}{dt} = 4 \text{ mm/s} \). When the radius of the loop is \( r = 4 \text{ cm} \), the induced emf in the loop is

Which is not the limitation of valence bond theory involving coordination compound.

Which of the following statements are true regarding alternating current:
(A) In an a.c. circuit containing resistance only, a.c. power is expressed in the same form as d.c. power (\( P = I^2 R \)), using a special value of current called root mean square (rms) or effective current, denoted by \( I_{rms} \).
(B) A phasor is a vector.
(C) Resonance phenomenon is exhibited by a circuit even if both L and C are not present in the circuit.
(D) For circuits used for transporting electric power, a low power factor implies less power loss in transmission.
Choose the correct answer from the options given below:

The value of \(x\) for which the matrix \(A = \begin{bmatrix} 1 & -2 & 3 \\ 1 & 2 & 1 \\ x & 2 & -3 \end{bmatrix}\) is singular is:

Which of the following statements are correct?
A. Number of photoelectrons emitted per second is directly proportional to the intensity of incident radiation
B. Cut off potential is the minimum negative potential given to the plate for which photocurrent becomes maximum
C. For a given frequency of the incident radiation, the stopping potential is independent of its intensity
D. Even for the exceedingly dim incident radiation apparent time lag is \( \sim 10^{-9} \) s or less
E. Photons are electrically neutral and are not deflected by electric and magnetic fields
Choose the correct answer from the options given below:

The coordination number \(( CN )\) and oxidation state \(( OS )\) of Co in \(\left[ Co \left( C _2 O _4\right)_3\right]^{3-}\) is.

Which of the following is correct about the nature of ligand?