Correct option is C
Explanation-
Given-
Formula:
The wavelength and frequency are related by:
Where:
Substituting values-
So, the correct answer is option c : 1 m
For a nuclear spin of spin quantum no. processing in a magnetic field at a Larmor frequency of 300 MHz, the wavelength of incident radiation required to excite the nuclear spins must be approximately:
Explanation-
Given-
Formula:
The wavelength and frequency are related by:
Where:
Substituting values-
So, the correct answer is option c : 1 m
Given below are the different stages of Arabidopsis embryogenesis (Column X) and their characteristic patterns of cell division (Column Y).
Column X
A. Zygotic
B. Globular
C. Heart
D. Torpedo
Column Y
i. Formation of an 8-cell embryo, exhibiting radial symmetry and undergoing additional cell division to create the protoderm
ii. Polarized growth of cells followed by a symmetric transverse division giving rise to a small apical cell and an elongated basal cell
iii. Cell elongation and cellular differentiation processes throughout the embryonic axis with visible distinction between the adaxial and abaxial tissue of the cotyledons
iv. Focused cell division forming two cotyledons, giving bilateral symmetry to the embryo
Which one of the following options represents the correct match between Column X and Column Y?
The taxon cycle is the predicted, progressive ecological and evolutionary changes in the descendants of founding populations. Taking the case of insular biotas, the figure can be used to conceptualize and predict species types (a, b, c, d, e, f, g, h) based on their fundamental capacities to evolve, immigrate, and persist.

The table below has species types (Column X) and the possible traits (Column Y) associated with each type.

Which one of the following options represents all correct matches between Column X and Column Y?
The figure shows a life-cycle graph and the corresponding population projection matrix (time-invariant) for a population with four successive classes (1–4). All contributions to class 1 from other classes occur via fecundity. There is no resource limitation.

Initial population sizes are:
n₁ = 95, n₂ = 5, n₃ = 15, n₄ = 4.
The following statements are made regarding the future population states in a long-term simulation of population growth:
A. The population will grow and attain a stable class distribution.
B. The population will grow but the number of individuals in each class will be proportional to the initial numbers.
C. The population will grow but numbers of individuals in the classes will fluctuate disproportionately over time.
D. The population will grow at a fixed growth rate and all classes will grow at the same rate.
Which one of the following options represents a combination of all correct outcomes?
The table below lists taxonomic groups (Column X) and their morphological features (Column Y).
Column X
A. Crustacea
B. Chelicerata
C. Phoronida
Column Y
i. Two pairs of antennae
ii. Antennae absent
iii. Presence of lophophore
Which one of the following options represents all correct matches between Column X and Column Y?
The following statements describe some features of a Quartz Crystal Microbalance (QCM) biosensor:
A. A QCM biosensor is built with a thin disc-shaped piezoelectric material connected to metal electrodes on opposite faces.
B. When an AC voltage is applied to the quartz crystal, it produces oscillation at a stable resonant frequency that is not determined by the applied AC voltage.
C. The surface of the quartz crystal can be functionalized with a specific receptor that binds to the target analyte.
D. As the mass on the surface of the crystal increases, the resonant frequency of the crystal increases in a predictable, quantitative way following the Sauerbrey equation.
Which one of the following options represents a combination of all correct statements?
The table below lists conditions (Column X) and their evolutionary/behavioural outcome (Column Y).
Column X | Column Y |
|---|---|
A. Cooperative breeding mediated by kin selection without physiological suppression of reproduction | i. Eusocial species such as naked mole rats |
B. Hormonal reproductive suppression in nonbreeding females mediated by aggression | ii. High paternity certainty , low risk of cuckoldry |
C. Biparental care | iii. Delayed dispersal and breeding of offspring such as in social birds |
Which one of the options below is a correct match between all terms of Column X and Column Y?
A B6 mouse (H-2b haplotype) was crossed with a CBA mouse (H-2k haplotype) to generate F1 progeny. The following skin transplant experiments were then performed:
A. Graft from B6 mouse to CBA mouse
B. Graft from F1 mouse to B6 parent
C. Graft from F1 mouse to CBA parent
D. Graft from F1 mouse to F1 mouse
E. Graft from B6 mouse to F1 mouse
Which one of the following options represents all recipients in which the graft is tolerated?
Given below are the different stages of Arabidopsis embryogenesis (Column X) and their characteristic patterns of cell division (Column Y).
Column X
A. Zygotic
B. Globular
C. Heart
D. Torpedo
Column Y
i. Formation of an 8-cell embryo, exhibiting radial symmetry and undergoing additional cell division to create the protoderm
ii. Polarized growth of cells followed by a symmetric transverse division giving rise to a small apical cell and an elongated basal cell
iii. Cell elongation and cellular differentiation processes throughout the embryonic axis with visible distinction between the adaxial and abaxial tissue of the cotyledons
iv. Focused cell division forming two cotyledons, giving bilateral symmetry to the embryo
Which one of the following options represents the correct match between Column X and Column Y?