In a potentiometer arrangement for comparing emf of two cells, it was found that a cell of emf 1.25 V gives a balance point at 0.35 m length of the wire. On replacing the cell by another cell, the balance point shifted to 0.63 m. The emf of the second cell is :

In Young's double slit experiment, the light has a frequency \( 12 \times 10^{14} \text{ Hz} \) and the distance between the centres of adjacent fringes is 0.8 mm. If the screen is 1.6 m away, what is the distance between the slits? (Take speed of light \( c = 3 \times 10^8 \text{ m s}^{-1} \))

Two batteries of emf 5 V with internal resistance 2 \( \Omega \) and 6 V with internal resistance 3 \( \Omega \) are connected in series with an external resistor. If the current in the circuit is 0.5 A, then the resistance of the resistor is

On adding a small amount of boron to a silicon crystal

An unpolarised beam of light of intensity \(I_0\) falls on a single polaroid. The intensity of the emergent beam is

Light of two different frequencies whose photons have energies 1 eV and 2.5 eV respectively, illuminate a metal of work function 0.5 eV. The ratio of the maximum KE of the emitted electrons will be :

A proton accelerated through potential difference V has de Broglie wavelength \(\lambda\). On doubling the potential, the de Broglie wavelength of the proton :

Match List-I with List-II

List-I (Interspecific interaction)	List-II (Species A and B respectively)
(A) Commensalism	(I) - ; -
(B) Amensalism	(II) + ; -
(C) Competition	(III) + ; 0
(D) Predation	(IV) - ; 0

'+' = beneficial interaction; '-' = detrimental interaction; '0' = neutral interaction
Choose the correct answer from the options given below:

Match List-I with List-II

List-I	List-II
(A) If A is a non singular matrix of order n, then \(| A (\operatorname{adjA})|\) is equal to	(I) \(|A|^{n-1}\)
(B) If A is a non singular matrix of order n, then |adj(adj A)| is equal to	(II) \(|A|^{n-2} A\)
(C) If A is a non singular matrix of order n, then \(\operatorname{adj}(\operatorname{adj} A )\) is equal to	(III) \(|A|^n\)
(D) if A is a non singular matrix of order n, then \(|(\operatorname{adj} A)|\) is equal to	(IV) \(|A|^{(n-1)^2}\)

Choose the correct answer from the options given below :

The best reagent for preparing an alkyl chloride from an alcohol is

Glucose does not react with:

Read the following passage carefully and answer the given questions.
Theory of Evolution
The evolution of life is a gradual process through which simple organisms are transformed into complex life forms over billions of years. It involves genetic changes, adaptation to the environment, and the emergence of diversity in species. Fossil records provide evidence of extinct life forms and transitional stages. Evolution is influenced by factors such as mutation, genetic recombination, and environmental pressure, shaping the biodiversity we see today. Charles Darwin and Alfred Russel Wallace were pioneering naturalists who developed the theory of evolution by natural
selection. The voyage of the H.M.S. Beagle was significant in the development of Darwin's theory of evolution as-

Which of the following does not come under the category of assisted reproductive technologies?