Q. An infinitely long thin cylindrical shell has its axis coinciding with the z-axis. It carries a surface charge density 𝜎0cos𝜙, where 𝜙 is the polar angle and 𝜎0 is a constant. The magnitude of the electric field inside the cylinder is Ans:
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The similarity of bone structure in the forelimbs of many vertebrates is an example of Option 1 : HomologyOption 2 : Convergent evolutionOption 3 : AnalogyOption 4 : Adaptive radiation
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Q. A massive particle X in free space decays spontaneously into two photons. Which of the following statements is true for X? (A) X is charged (B) Spin of X must be greater than or equal to 2 (C) X is a boson (D) X must be a baryon Ans: X is a boson
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Which one of the following population interactions is widely used in medical science for the production of antibiotics? Option 1 : ParasitismOption 2 : AmensalismOption 3 : CommensalismOption 4 : Mutualism
Conversion of milk to curd improves its nutritional value by increasing the amount of Option 1 : Vitamin B12Option 2 : Vitamin AOption 3 : Vitamin EOption 4 : Vitamin D
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Q. In order to estimate the specific heat of phonons, the appropriate method to apply would be (A) Einstein model for acoustic phonons and Debye model for optical phonons (B) Einstein model for optical phonons and Debye model for acoustic phonons (C) Einstein model for both optical and acoustic phonons (D) Debye model for both
Option 1 : ElephantiasisOption 2 : Ringworm diseaseOption 3 : AscariasisOption 4 : Amoebiasis
Which of the following is not an autoimmune disease? Option 1 : PsoriasisOption 2 : Alzheimer’s diseaseOption 3 : Rheumatoid arthritisOption 4 : Vitiligo
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Which of the following characteristics represent ‘Inheritance of blood groups’ in humans? a. Dominance b. Co-dominance c. Multiple allele d. Incomplete dominance e. Polygenic inheritance Option 1 : b, c and eOption 2 : b, d and eOption 3 : a, b and cOption 4 : a, c and e
Q. Consider a one-dimensional gas of 𝑁 non-interacting particles of mass 𝑚 with the Hamiltonian for a single particle given by , The high temperature specific heat in units of 𝑅 = 𝑁𝑘𝐵 (𝑘𝐵 is the Boltzmann constant) is (A) 1 (B) 1.5 (C) 2 (D) 2.5 Ans: 1
