Which of the following is connected to the coil of the galvanometer, to protect it from possible damages due to large current?

A resistor develops 200 J of thermal energy in 5 s when a current of 2 A is passed through it. If the current is measured to 5 A, what will be the energy developed in 12 s ?

If light of wavelength 412.5 nm is incident on each of the metals given below, which ones will show photoelectric emission ?

Metal	Work Function (eV)
Na	1.92
K	2.15
Ca	3.20
Mo	4.17

Choose the correct answer from the options given below:

Total internal reflection can take place only, if

The impurity atoms with which pure silicon may be doped to make it a p-type semiconductor are those of
A. Phosphorous
B. Boron
C. Antimony
D. Aluminum
E. Graphite
Choose the correct answer from the options given below:

A charge of \( 9 \mu C \) is given a displacement of \( \vec{r} = (4\hat{i} + 5\hat{j}) \text{ m} \) in an electric field \( \vec{E} = (5\hat{i} + 4\hat{j}) \text{ N/C} \). The work done in the process is

Match List-I with List-II

List-I (Physical quantity)	List-II (Unit)
(A) Threshold frequency	(I) J
(B) Planck's constant	(II) V
(C) Work function	(III) 1/s
(D) Stopping potential	(IV) J s

Choose the correct answer from the options given below:

Over 95% of all existing transgenic animals are:

Answer the question on the basis of passage given below:
Proteins are the polymers of about twenty different a-amino acids which are linked by peptide bonds. Proteins perform various structural and dynamic functions in the organisms. Proteins which contain only a-amino acids are called simple proteins. The secondary or tertiary structure of proteins get disturbed on change of pH or temperature and they are not able to perform their functions. This is called denaturation of proteins. Enzymes are biocatalysts which speed up the reactions in biosystems. Vitamins are accessory food factors required in the diet. They are classified as fat soluble (A, D, E and K) and water soluble (B group and C). Deficiency of vitamins leads to many diseases. Nucleic acids are the polymers of nucleotides which in turn consist of a base, a pentose sugar and phosphate moiety.Nucleic acids are responsible for the transfer of characters from parents to offsprings. There are two types of nucleic acids DNA and RNA. DNA contains a five carbon sugar molecule called 2-deoxyribose whereas RNA contains ribose.
During denaturation of proteins:

Read the passage carefully and answer the Questions
The decomposition of \(N_2O_5\ (g)\) is given as
\(N_2O_5(g) \rightarrow 2NO_2(g) + \frac{1}{2}O_2(g)\)
The above reaction is found to be of first order.
Predict the intercept for the plot of \(log \frac{[N_2O_5]_0}{[N_2O_5]}\) versus time

Let \(F(z)\) be the cumulative density function of the standard normal variate \(Z\), then which of the following are correct?
(A) \(F(z)=\frac{1}{\sqrt{2 \pi}} \int_{-\infty}^z e^{-t^2 / 2} d t,-\infty<Z<\infty\)
(B) \(F(-Z)=1-F(Z)\)
(C) \(F(0)=0\)
(D) \(F(\infty)=1\)
Choose the correct answer from the options given below:

Consider the following data of expenses (in lakhs) of an organization year wise:

Year	2001	2002	2003	2004	2005
Expenses (Rs. lakh)	160	185	220	300	510

Then expected expenses trend for the year 2006 using method of least squares is:

The local minimum value of the function \(f(x)=|x|+2\), where \(x\) is a real number is :