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Density remaining constant, if earth con...

Density remaining constant, if earth contracts to half of its present radius, duration of the day would be (in minutes).

A

45

B

80

C

100

D

120

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The correct Answer is:
A
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If earth shrinks to 1//64 of its volume with mass remaining same duration of day will be

If the acceleration due to gravity g doubles and the radius of earth becomes half that of the present value, then the value of escape velocity is (Assume, g = 10 m//s^2 and radius of earth, R = 6400 km)

(A) : If earth shrink to half its present size, length of the day would become 6 hours. (R ) : As size of the earth changes is moment of inertia changes.

AAKASH SERIES-SYSTEM OF PARTICLES AND ROTATIONAL MOTION-EXERCISE - 2
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  2. A constant torque acting on a uniform circular wheel changes its angul...

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  3. Density remaining constant, if earth contracts to half of its present ...

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  4. Two wheels of M.I. 3 kg m^(2) and 5 kg m^(2) are rotating at the rate ...

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  5. A mass is whirled in a circular path with an angular momentum L. If th...

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  6. A disc of mass 100 g and radius 10 cm has a projection on its circumfe...

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  7. A Merr-go-raound, made of a ring - like platform of radius R and mass ...

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  8. The diameter of a rotating fly wheel is R. Its coefficient of linear e...

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  9. Keeping the mass of earth as constant, if its radius is reduced to 1//...

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  10. A uniform circular disc of radius 50 cm at rest is free to turn about ...

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  11. A particle of mass m is projected with an initial velocity u at an ang...

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  12. The handle of a door is at a distance 40 cm from axis of rotation. If ...

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  13. A constant torque of 1000 Nm turns a wheel of M.I 200 kg m^(2) about a...

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  14. If 484 J of energy is spent in increasing the speed of a wheel from 60...

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  15. A shaft rotating at 3000 rpm is transmitting a power of 3.14 KW. The m...

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  16. A wheel rotating at angular speed of 20rads^(-1), is brought to rest b...

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  17. A thin uniform rod of length l and mass m is swinging freely about a h...

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  18. The K.E. of a body rotating at 300 rpm is 62.8 J. Its angular momentum...

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  19. If the velocity of a rotating body of mass 50 kg is given by bar(V)=3b...

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  20. If the Earth shirnks such that its density becomes 8 times to the pres...

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