What is the approximate earth's dipole moment, if the earth's magnetic field at the Equator is approximately 0.5 G and diameter is \( 15.0 \times 10^6 \text{ m} \)?

When strong magnetic field is applied on a stationary electron, the electron :

A heater coil is rated 100 W, 200 V. It is cut into two identical parts. Both parts are connected together in parallel to the same source of 200 V. The energy liberated per second in the new combination is:

A cell of emf \( \mathcal{E} = 10 \text{ V} \) and internal resistance \( r = 3 \Omega \) is connected to a uniform wire of length \( L = 500 \text{ cm} \) and resistance \( R = 3 \Omega \). The drop of potential with length in the wire is:

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

If two thin convex lenses are kept in contact, the focal length of the combination is :

An equiconvex lens has a focal length of 20 cm and its radius of curvature is 30 cm. Its refractive index is:

Let \(f(x)=4 x^3-18 x^2+27 x-5, x \in \mathbb{R}\). Then which of the following statements are TRUE?
(A) \(f^{\prime \prime}(x)=24 x-36\)
(B) \(f\) has local maxima at \(x=\frac{3}{2}\) but no minima
(C) \(f\) has neither maxima nor minima
(D) \(f\) has both maxima and minima
Choose the correct answer from the options given below:

The unit of E_cell is

The function \(f(x)=2 x^3-3 x^2-12 x+4\) has:
(A) two points of local maxima.
(B) two points of local minima.
(C) one local maxima and one local minima.
(D) no local maxima or local minima.

Which one of the followings is not a transgenic animal?

Read the following passage carefully and answer the given questions.
Bioactive molecule, cyclosporin A, that is used as an immunosuppressive agent in organ-transplant patients, is produced by the fungus Trichoderma polysporum. Statins produced by the yeast Monascus purpureus have been commercialised as blood-cholesterol lowering agents. It acts by competitively inhibiting the enzyme responsible for synthesis of cholesterol. Baculoviruses are pathogens that attack insects and other arthropods. The majority of baculoviruses used as biological control agents are in the genus Nucleopolyhedrovirus. These viruses are excellent candidates for species-specific, narrow spectrum insecticidal applications. They have been shown to have no negative impacts on plants, mammals, birds, fish or even on non-target insects. BOD refers to the amount of the oxygen that would be consumed if all the organic matter in one liter of water were oxidised by bacteria. The sewage water is treated till the BOD is reduced. Cheese, is one of the oldest food items in which microbes were used. Different varieties of cheese are known by their characteristic texture, flavour and taste. For example, the large holes in 'Swiss cheese' are due to production of a large amount of CO₂ by a bacterium named Propionibacterium sharmanii.
Baculoviruses are-

Arrange the following steps of DNA fingerprinting in correct sequence :
(A) Separation of DNA fragments by electrophoresis and transfer to nitrocellulose membrane
(B) Autoradiography based detection of hybridised DNA
(C) Hybridisation using labelled VNTR probe
(D) Isolation of DNA and digestion by restriction endonuclease
Choose the correct answer from the options given below: