A galvanometer has a resistance of 8 \( \Omega \). It is shunted by a wire of resistance 2 \( \Omega \). If the total current is 2 A, the current passing through the shunt is

In a step-down transformer, 22 kV is converted into 220 V. The number of turns in the primary coil is 60000. The number of turns in the secondary coil will be

In the given figure a rod PQ of length 2.5 m can slide without friction. The value of R is 5.0 \( \Omega \) and a magnetic field of 2 T is directed perpendicularly into the paper. The force F required to move the rod to the right at a constant speed of 1.0 m/s will be

If 'n' identical resistors, each of value 'R' are first connected in series to a battery of emf 'E' and internal resistance 'R', the current drawn is 'I'. Now if they are connected in parallel, then the current drawn is '5 I'. The value of n is

Which are the correct statements from given below:
A. Kirchhoff's junction rule is based on conservation of charge
B. Current is a vector quantity.
C. Current density is a vector quantity.
D. Resistance doesn't depend on dimension of conductor.
E. Resistivity depends on temperature.

A parallel beam of light of wavelength 500 nm is incident normally on a slit of width d. If the distance between slit and screen is 0.6 m and distance of second order minimum from the centre of the screen is 6.0 mm, What is the width of the slit?

Three resistors, each of resistance R, are arranged in the following different combinations with a source of emf E. Arrange them in the decreasing order of power dissipation:
(A) Three resistors in series
(B) Three resistors in parallel
(C) One resistor in series with two resistors in parallel
(D) One resistor in parallel with two resistors in series
Choose the correct answer from the options given below:

If \(C(x)=x^3-5 / 2 x^2+10\) represents the total cost of producing \(x\) units by a car manufacturing company. The slope of the marginal cost curve at \(x = 3\), will be:

\(\cos ^{-1}\left(\frac{3}{5} \cos x+\frac{4}{5}\ sinx \right)=\)

Read the following paragraph and answer the given questions.
Cancer detection is based on biopsy and histopathological studies. Techniques like radiography (use of X-rays), CT (computed tomography) and MRI (magnetic resonance imaging) are very useful to detect cancers of the internal organs. Do you know why mother's milk is considered very essential for the new-born infant? The yellowish fluid colostrum secreted by mother during the initial days of lactation has abundant antibodies (IgA) to protect the infant. Different species of Plasmodium (P. vivax, P. malaria and P. falciparum) are responsible for different types of malaria. Of these, malignant malaria caused by Plasmodium falciparum is the most serious one and can even be fatal. The exaggerated response of the immune system to certain antigens present in the environment is called allergy. The use of drugs like anti-histamine, adrenalin and steroids quickly reduce the symptoms of allergy. Drugs like barbiturates, amphetamines, benzodiazepines, and other similar drugs, that are normally used as medicines to help patients cope with mental illnesses like depression and insomnia, are often abused. Morphine is a very effective sedative and painkiller, and is very useful in patients who have undergone surgery.
A pregnant female is advised not to discard the yellowish fluid called colostrum, secreted during the initial days of lactation, because it is rich in:

Arrange the number of species of organisms in tropical Amazonian rain forest in decreasing order.
(A) Fishes
(B) Birds
(C) Plants
(D) Mammals
Choose the correct answer from the options given below:

Consider two different hydrogen atoms. The electron in each atom is in first excited state. According to Bohr's model, electrons will have :

Which reagent can be employed to distinguish Benzaldehyde and Propanal ?