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Find the distance of the point (−1, −5, −10) from the point of intersection of the line `vecr=2hati-hatj+2hatk+lambda(3hati+4hatj+2hatk) ` and the plane `vec r (hati-hatj+hatk)=5`
Concept: Three - Dimensional Geometry Examples and Solutions
A point charge q is at a distance of d/2 directly above the centre of a square of side d, as shown the figure. Use Gauss' law to obtain the expression for the electric flux through the square.
Concept: Applications of Gauss' Theorem
Draw a necessary arrangement for winding of primary and secondary coils in a step-up transformer. State its underlying principle and derive the relation between the primary and secondary voltages in terms of number of primary and secondary turns. Mention the two basic assumptions used in obtaining the above relation.
Concept: Inductance >> Mutual Inductance
Why does an unpolarised light incident on a polaroid get linearly polarised ?
Concept: Polarisation
Draw graphs showing variation of photoelectric current with applied voltage for two incident radiations of equal frequency and different intensities. Mark the graph for the radiation of higher intensity.
Concept: Experimental Study of Photoelectric Effect
Draw the necessary energy band diagrams to distinguish between conductors, semiconductors and insulators.
How does the change in temperature affect the behaviour of these materials ? Explain briefly.
Concept: Energy Bands in Conductors, Semiconductors and Insulators
Draw a circuit diagram of a transistor amplifier in CE configuration.
Concept: Junction Transistor >> Transistor as an Amplifier (Ce-configuration)
Draw a diagram of the mature embryo sac of an angiospermic ovule and label any four parts in it.
Concept: Development of Female Gametophyte or Embryo Sac
Medically it is advised to all young mothers that breast-feeding is the best for their newborn babies. Do you agree? Give reasons in support of your answer.
Concept: Pregnancy and Embryonic Development
Explain menstrual cycle in human females.
Concept: Menstrual Cycle (Ovarian Cycle)
How can the scientific understanding of the menstrual cycle of human females help as a contraceptive measure?
Concept: Menstrual Cycle (Ovarian Cycle)
Explain the mechanism of 'sex determination' in birds. How does it differ from that of human beings?
Concept: Sex Determination
Write the names of the following:
A 15 mya primate that was ape-like
Concept: Human Evolution
Write the names of the following:
A 2 mya primate that lived in East African grasslands
Concept: Human Evolution
With the help of an algebraic equation, how did Hardy-Weinberg explain that in a given population the frequency of occurrence of alleles of a gene is supposed to remain the same through generations?
Concept: Hardy Weinberg’s Principle
How do cytokine barriers provide innate immunity in humans?
Concept: Immunity
Name the source plant of heroin drug. How is it obtained from the plant?
Concept: Types and Effects of Psychoactive Drugs >> Effects of Drug and Alcohol
Your advice is sought to improve the nitrogen content of the soil to be used for cultivation of a non-leguminous terrestrial crop.
- Recommend two microbes that can enrich the soil with nitrogen.
- Why do leguminous crops not require such enrichment of the soil?
Concept: Microbes as Biofertilizers
Give an example of a bacterium, a fungus and an insect that are used as biocontrol agents.
Concept: Microbes as Biocontrol Agents
How has the development of bioreactor helped in biotechnology?
Concept: Principles of Biotechnology
