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Rachel Carson's famous book "Silent Spri...

Rachel Carson's famous book "Silent Spring" is related to

A

Noise pollution

B

Population explosion

C

Ecosystem management

D

Pesticide pollution.

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An ideal spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table to as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration a of the block and the distance x travelled by it (as long as the spring is compressed) is

An ideal spring is compressed and placed horizontally between a vertical fixed wall and a block free to slide over a smooth horizontal table to as shown in the figure. The system is released from rest. The graph which represents the relation between the magnitude of acceleration a of the block and the distance x travelled by it (as long as the spring is compressed) is

Einstein's mass - energy relation emerging out of his famous theory of relativity relates mass (m) to energy (E ) as E = mc^2, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are vary small. The energy at nuclear level is usually measured in MeV, where 1 MeV = 1.6 xx 10^(-13) J , the masses are measured in unified mass unit (u) where 1 u = 1.67xx10^(-27)kg. (a) Show that the energy equivalent of 1u is 931.5 MeV. (b) A student writes the relation as 1 u = 931.5 MeV. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.

A body of mass m hung at one end of the spring executes simple harmonic motion . The force constant of a spring is k while its period of vibration is T . Prove by dimensional method that the equation T=2pisqrt(m//k) is correct. Dervive the correct equation , assuming that they are related by a power law.

A famous relation in physics relates the moving mass m to the rest mass m_(0) of a particle in terms of its speed v and the speed of light c .( This relation first arose as a consequence of the special theory of relativity due to Albert Einstein). A body recalls the relation almost correctly but forgets where to put the constant c . He writes m = (m_(0))/((1- V^(2))^(1//2)) . Guess where to put the missing c .

A block of mass m rests on a rough horizontal plane having coefficient of kinetic friction mu_(k) and coefficient of static friction mu_(s) . The spring is in its natural, when a constant force of magnitude P=(5mu_(k)mg)/(4) starts acting on the block. The spring force F is a function of extension x as F=kx^(2).( Where k is spring constant ) (a) Comment on the relation between mu_(s) and mu_(k) for the motion to start. (b) Find the maximum extension in the spring ( Assume the force P is sufficient make the block move ) .

ALLEN-ORGANISM & ENVIRONMENT AND DEMOGRAPHY-EXERCISE-II
  1. Which one of the following is an example of mutualism ?

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  2. Which of the following is true:-

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  3. Cryopreservation of gametes of threatened species in viable and fertil...

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  4. High value of BOD (Biochemical Oxygen Demand) indicates that

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  5. The UN Conference of Parties on climate change in the year 2011 was he...

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  6. Rachel Carson's famous book "Silent Spring" is related to

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  7. Most animals are tree dwellers in a

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  8. In which of the following both pairs have correct combination?

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  9. Vertical distribution of different species occupying different levels ...

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  10. The mass of living material at a trophic level at a particular time is...

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  11. In an ecosystem the rate of production of or- ganic matter during phot...

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  12. Secondary Succession takes place on/ in

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  13. The following graph depicts changes in two populations (A and B) of he...

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  14. Most animals that live in deep oceanic wa- ters are

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  15. An association of individuals of different species living in the same ...

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  16. Eutrophication of water bodies leading to killing to fishes is mainly...

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  17. Acid rain is caused by increase in the atmo- ,spheric concentration of

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  18. Increase in concentration of the toxicant at successive trophic levels...

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  19. Which of the following is not a cause for loss of biodiversity

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  20. The figure is showing relative constibution of various green house gas...

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