A change of current from 6.0 A to 3.0 A in 300 ms in a coil produces an induced emf of 0.5 V in the neighboring coil. The mutual inductance between the two coils would be

A ray of light passes through an equilateral glass prism such that the angle of incidence (i) = angle of emergence (e). If the angle of emergence is 0.75 times the angle of the prism, the refractive index of the prism will be

A proton, an electron, a neutron and an alpha particle have the same energy. Their de Broglie's wavelengths are given below:
(A) \( \lambda_{proton} \)
(B) \( \lambda_{electron} \)
(C) \( \lambda_{neutron} \)
(D) \( \lambda_{alpha} \)
Arrange these wavelengths in decreasing order. Choose the correct answer from the options given below:

Four resistors of \( 8 \ \Omega \) each are connected in parallel, five such combinations are then connected in series. What is the total resistance?

A cell of emf 1.1 V and internal resistance 0.5 \(\Omega\) is connected to a 0.5 \(\Omega\) wire. Another cell of same emf is added in series, but current remains unchanged. The second cell's internal resistance is :

In an experiment with Meter Bridge, with unknown resistance R in the left gap, the null point is obtained at \( l_1 = 40 \text{ cm} \) from the left end. Now a resistance of \( R' = 10 \Omega \) is connected in series with resistance R, the null point is obtained at \( l_2 = 70 \text{ cm} \) from the left end. The value of resistance R is

Choose the correct order for the formation of p-n junction diode.
(A) diffusion current
(B) drift current
(C) formation of space charge region
(D) creation of a barrier potential.

Androgens are synthesised and secreted by which of the following?

There are 4 bulbs out of which 2 are defective. Each bulb is tested in random order till both the defective bulbs are identified. The probability that only two tests are required to identify the defective bulbs is:

The energy of the electron in any given state for the hydrogen atom is \( -13.6/n^2 \, \text{eV} \). Identify the correct statements among the following.
(A) The negative sign in \( -13.6 \, \text{eV} \) signifies that the electron is bound to the nucleus.
(B) The negative sign in \( -13.6 \, \text{eV} \) signifies that the electron requires 13.6 eV energy to be separated from the nucleus.
(C) 3.4 eV energy is required to take the electron from the ground to the first excited state.
(D) To find the energy of the third excited state, the value of n is 4.
Choose the correct answer from the options given below:

The slope of the normal to the curve \(x^2+3 y+y^2=5\) at \((1,1)\) is :

If \(A=\left[\begin{array}{ll}3 & -2 \\ 4 & -2\end{array}\right], \quad I=\left[\begin{array}{ll}1 & 0 \\ 0 & 1\end{array}\right]\) and \(A^2=K A-2 I\), then the value of \(K\) is

The chromosomal disorders are caused due to absence, excess or abnormal arrangement of one or more chromosomes. Failure of segregation of chromatids during cell division results in the gain or loss of chromosome(s), called aneuploidy.
Which of the following statements are correct with respect to the humans suffering from the disorder?
(A) One in every 800 live births shows this karyotype
(B) The affected individual has 45 chromosomes.
(C) Non-disjunction of chromosomes at the time of gamete formation causes this disorder.
(D) In this disorder, individual has 45 autosomes
Choose the correct answer from the options given below: