A bar magnet of magnetic moment \(M_1\) is axially cut into two equal parts. If these two pieces are arranged perpendicular to each other in the shape of L, the resultant magnetic moment becomes \(M_2\), then the value of \(\frac{ M _1}{ M _2}\) is :

In a plane electromagnetic wave, the magnetic field oscillates sinusoidally at a frequency of\(2.0 \times 10^{10} Hz\) and amplitude \(1.6 \times 10^{-7} T\). The amplitude of the oscillating electric field is:

Which of the following statements are correct?
A. Photo electric current does not depend on the nature of the emitter material.
B. Photo electric effect is an instantaneous process.
C. The stopping potential is directly related to the maximum kinetic energy of electrons emitted.
D. Energy required for the electron emission from the metal should be less than the work function.
E. The dualism of matter is inherent in the de Broglie relation.
Choose the correct answer from the options given below:

The half life of a radioactive nuclide is 20 hours. What fraction of original activity will remain after 80 hours ?

Read the following features of the Photoelectric effect.
(A) The maximum kinetic energy of the photoelectrons varies linearly with the frequency of incident radiation
(B) The maximum kinetic energy of the photoelectrons is dependent on its intensity.
(C) For a frequency of incident radiation, lower than the cut-off frequency, photoelectric emission is possible even if the intensity is not large.
(D) Ultraviolet light can eject photoelectrons from copper even if visible light does not eject
Choose the correct answer from the options given below:

The forbidden energy gaps in conductors, semiconductors and insulators are \( (E_g)_c, (E_g)_s \) and \( (E_g)_I \) respectively. What is the relation among them ?

You are sitting in a parked car and you notice a boy running towards the car in the side view mirror of the car. If the boy is running at a constant speed towards you, which option according to you is correct

The cell \(Zn \left| Zn ^{2+}(1 M ) \| Cu ^{2+}(1 M )\right| Cu\) has \(E_{\text {cell }}^{\circ}=1.10 V\).
The cell is allowed to be completely discharged at 298 K .
The relative concentration of \(Zn ^{2+} / Cu ^{2+}\) is:

The limiting molar conductivities for \(NaCl\), \(HCl\) and \(CH_3COONa\) are \(126.4\), \(425.9\) and \(91.0\ S\ cm^2\ mol^{-1}\), respectively. Calculate the limiting molar conductivity for acetic acid.

Read the following paragraph and answer the given questions.
Repeated amplification is achieved by the use of a thermostable DNA polymerase (isolated from a bacterium, Thermus aquaticus), which remain active during the high temperature induced denaturation of double stranded DNA. The separated DNA fragments can be visualised only after staining the DNA with a compound known as ethidium bromide followed by exposure to UV radiation. The separated bands of DNA are cut out from the agarose gel and extracted from the gel piece. The convention for naming these enzymes is the first letter of the name comes from the genus and the second two letters come from the species of the prokaryotic cell from which they were isolated, e.g., EcoRI comes from Escherichia coli RY 13. In EcoRI, the letter 'R' is derived from the name of strain. Roman numbers following the names indicate the order in which the enzymes were isolated from that strain of bacteria. Stanley Cohen and Herbert Boyer accomplished this in 1972 by isolating the antibiotic resistance gene by cutting out a piece of DNA from a plasmid which was responsible for conferring antibiotic resistance. Since the DNA is enclosed within the membranes, we have to break the cell open to release DNA, RNA, protein, polysaccharides etc. The RNA can be removed by treatment with ribonuclease whereas proteins can be removed by treatment with protease. Other molecules can be removed by appropriate treatments and purified DNA ultimately precipitates out after the addition of chilled ethanol.

In the PCR, the thermostable DNA polymerase enzyme is obtained from:

Match List-I with List-II
Let A and B are two events such that \(P ( A )=0.8, P ( B )=0.5, P ( B \mid A )=0.4\)

List-I	List-II
(A) \(P(A \cap B)\)	(I) 0.2
(B) \(P(A \mid B)\)	(II) 0.32
(C) \(P(A \cup B)\)	(III) 0.64
(D) \(P\left(A^{\prime}\right)\)	(IV) 0.98

Choose the correct answer from the options given below:

On an equipotential surface :

A piece of machinery is bought for Rs. 50,000
In the first year, it depreciates by 15%
In each subsequent year, the depreciation rate increases by 5%
Find the value of the machinery after 3 years