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The electric field associated with a light wave is given by \(E = E_0~ (\sin \omega_1 t)~ (\sin \omega_2 t)\).
This light wave falls on a metal having a threshold frequency, \(\nu_0.\) The maximum kinetic energy of the emitted photoelectrons will be: (\(h\) is Planck's constant)

1.	Either \(\dfrac{h \omega_{1}}{2 \pi}\) or \(\dfrac{h \omega_{2}}{2 \pi}\)
2.	Either \(\left(\dfrac{h \omega_{1}}{2 \pi}-h \nu_{0}\right)\) or \(\left(\dfrac{h \omega}{2 \pi}-h \nu_{0}\right)\)
3.	\(\dfrac{h\left(\omega_{1}+\omega_{2}\right)}{2 \pi}-h \nu_{0}\)
4.	Both \(\dfrac{h\left(\omega_{1}+\omega_{2}\right)}{2 \pi}-h \nu_{0}\) and \(\dfrac{h\left |\omega_{1}-\omega_{2}\right|}{2 \pi}-h \nu_{0}\)

A hydrogen atom collides with another similar atom at rest. The minimum energy of the first atom so that one of them may get ionised is:

1.	\(13.6\) eV	2.	\(\dfrac{13.6} {2}\) eV
3.	\(2 \times 13.6\) eV	4.	\(10.2\) eV

Radiation from hydrogen atom making transitions from state \(n=2~\text{to}~n=1\), falls on a gas containing \(\mathrm{Li}^{2+}\) ions in \(n=1,2,3\) states. Which of the following statements is correct?

1.	Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=2\) state.
2.	Some radiation is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=3\) state.
3.	Some radiations is absorbed by \(\mathrm{Li}^{2+}\) ions in \(n=1\) state.
4.	None of the radiation is absorbed by \(\mathrm{Li}^{2+}\) ions.

Which of the following particles, is unstable?
1. Proton
2. Neutron
3. Electron
4. Antineutrino

Given the following particle masses:
\(m_p=1.0072~\text{u}\) (proton)
\(m_n=1.0087~\text{u}\) (neutron)
\(m_e=0.000548~\text{u}\) (electron)
\(m_\nu=0~\text{u}\) (antineutrino)
\(m_d=2.0141~\text{u}\) (deuteron)
Which of the following processes is allowed, considering the conservation of energy and momentum?

1.	\(n+p \rightarrow d+\gamma\)
2.	\(e^{+}+e^{-} \rightarrow \gamma\)
3.	\(n+n\rightarrow \text{}\) deuterium atom (electron bound to the nucleus)
4.	\(p \rightarrow n+e^{+}+\nu\)

Determine the number of -CH₂ groups obtained when 3.6 kg of fructose is heated in the presence of HI.
[Take: \(N_A = 6.0 \times 10^{23}\)]

1.	\(4.8 \times 10^{25}\)	2.	\(48 \times 10^{23}\)
3.	\(0.48\times 10^{25}\)	4.	\(4.8 \times 10^{26}\)

Consider the given reaction:

Number of moles (x) of Grignard reagent consumed in the above reaction is: 
1. Two(2)
2. Three(3)
3. Four(4)
4. Five(5)

Consider the following reaction;

Major Product (B) will be:

1.		2.
3.		4.

Which of the following reagents is used to prepare tribromoaniline?

1.
2.
3.
4.

Consider the given eight compunds. How many of these compounds react with hot \(\mathrm{KMnO_4}\) to produce benzoic acid?
 
1. Three (3)
2. Four (4)
3. Six (6)
4. Five (5)

Identify the correct statement:

1.	Large, slow-reproducing vertebrates were especially vulnerable to human impact, aligning with the general trend that extinctions across taxa are non-random.
2.	Large vertebrates were less affected by human activities and mostly disappeared due to volcanic eruptions.
3.	The extinction of these vertebrates contradicts the passage’s claim that amphibians are the most vulnerable group today.
4.	These vertebrates went extinct mainly because invasive weeds displaced them from their habitats.

Which of the following MOST clearly distinguishes the ethical argument for conserving biodiversity from both utilitarian arguments?

1.	Ethical arguments highlight the role of biodiversity in ecosystem services such as oxygen production and pollination.
2.	Ethical arguments emphasise the intrinsic value of species, independent of any direct or indirect benefit to humans.
3.	Ethical arguments explain how biodiversity generates medicines and industrial products.
4.	Ethical arguments focus primarily on bioprospecting to increase national economic gains.

Which conclusion best explains why nations rich in biodiversity invest in bioprospecting?

1.	Bioprospecting reduces the need for conserving species because synthetic drugs can be produced easily.
2.	Bioprospecting is mainly done to replace all remaining natural ecosystems with agricultural fields.
3.	Molecular and species-level exploration can uncover economically valuable compounds that remain undiscovered in tropical ecosystems.
4.	Bioprospecting ensures that ethical arguments for conservation become unnecessary.

It is nearly impossible to put an economic price on services like oxygen production,aesthetic enjoyment, or pollination. Which reasoning BEST captures why this poses a challenge for conservation decisions?

1.	These services are essential for human survival, yet their value cannot be quantified in conventional economic terms.
2.	These services are easily replaced by artificial technologies that are cheaper and more efficient.
3.	These services benefit only a small portion of the population, making them economically insignificant.
4.	These services are temporary and do not influence long-term ecosystem functioning.

A critically endangered plant species survives only as a few individuals in a rapidly shrinking forest patch. Which strategy BEST aligns with the logic of the passage?

1.	Ignore in situ conservation because hotspots already protect all endangered species.
2.	Use only in situ conservation since ex situ methods cannot maintain genetic variability.
3.	Rely solely on ex situ conservation because habitat protection never benefits threatened species.
4.	Combine in situ protection of the remaining habitat with ex situ propagation using tissue culture and seed banking.

Consider the given two statements:

Statement A:	Biodiversity hotspots are globally prioritised for conservation because they contain exceptionally high endemism and species richness despite occupying a very small fraction of Earth’s land area.
Statement B:	Strict protection of all biodiversity hotspots together could potentially prevent nearly 30% of global species extinctions.

Which option is correct?

1.	Both A and B are true, and B correctly follows from A.
2.	Both A and B are true, but B does not follow from A.
3.	A is true but B is false.
4.	A is false but B is true.

A researcher wants to evaluate whether in situ conservation of a degraded forest patch can restore the population of a rare orchid species.
  Which experimental design would best test the effectiveness of in situ conservation?

1.	Compare the orchid’s reproductive success in a protected forest patch with a similar unprotected patch over multiple years.
2.	Grow the orchid exclusively in a botanical garden and record its flowering frequency.
3.	Store orchid seeds in a seed bank and monitor their viability under different temperatures.
4.	Introduce orchid seedlings into a zoo enclosure and track their growth under controlled irrigation.

A biodiversity hotspot is characterised by high species richness, high endemism, and rapid habitat loss. Which conclusion best explains why hotspots are prioritised?

1.	Hotspots contain mostly widespread species that also occur outside the region.
2.	Hotspots are easier to manage because they experience very slow rates of environmental change.
3.	Protecting hotspots yields high conservation returns because many unique species are saved per unit area.
4.	Hotspots are selected because they contain the world’s largest human populations.

A conservation proposal argues that a rare moss species should be protected even though it has no known economic use, ecosystem service, or aesthetic value. Which argument best supports this proposal?

1.	Ethical reasoning asserts that all species have intrinsic value, independent of direct benefits to humans.
2.	Broadly utilitarian reasoning emphasises the moss’s potential to improve global oxygen production.
3.	Narrowly utilitarian reasoning emphasises that the moss may increase crop yields.
4.	Ethical reasoning supports conservation only if the species is useful to future medicinal research.

A freshwater lake has recently lost several native fish species after a new species of carp was  introduced for aquaculture. Which cause of biodiversity loss best matches this situation?

1.	Over-exploitation, since the carp consumed excessive water resources.
2.	Alien species invasion, as the introduced carp altered native populations.
3.	Habitat fragmentation, as the lake was divided into smaller segments.
4.	Co-extinction, because many parasites disappeared before the fish species.