IIT-JEE 2002 Screening | Work Power & Energy Question 25 | Physics

An ideal spring with spring-constant k is hung from the ceiling and a block of mass M is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is

$${{4Mg} \over k}$$

$${{2Mg} \over k}$$

$${{Mg} \over k}$$

$${{Mg} \over {2k}}$$

IIT-JEE 2000 Screening

MCQ (Single Correct Answer)

-0.5

A wind-powered generator converts wind energy into electrical energy. Assume that the generator converts a fixed fraction of the wind energy intercepted by its blades into electrical energy. For wind speed v, the electrical power output will be proportional to

v²

v³

v⁴

IIT-JEE 1999 Screening

MCQ (Single Correct Answer)

-0.5

A spring of force-constant k is cut into two pieces such that one piece is double the length of the other. Then the long piece will have a force-constant of

$$\left( {{2 \over 3}} \right)k$$

$$\left( {{3 \over 2}} \right)k$$

3 k

6 k

IIT-JEE 1994

MCQ (Single Correct Answer)

-0.25

A particle of mass m is moving in a circular path of constant radius r such that its centripetal acceleration $${a_c}$$ is varying with time t as $${a_c}$$ = k²rt² where k is a constant. The power delivered to the perticles by the force acting on it is:

$$2\pi m{k^2}{r^2}t$$

$$m{k^2}{r^2}t$$

$${{\left( {m{k^4}{r^2}{t^5}} \right)} \over 3}$$

zero

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