Home
Class 12
PHYSICS
What is the ratio of P.E. w.r.t. ground ...

What is the ratio of P.E. w.r.t. ground and K.E. at the top most point of the projectile motion:-

A

`cos^(2)theta`

B

`sin^(2)theta`

C

`tan^(2)theta`

D

`cot^(2)theta`

Text Solution

Verified by Experts

The correct Answer is:
C
`(K.E.)_("TOP")=(1)/(2)mu^(2)cos^(2)theta`
vertical part of initial `K.E.=(P.E.)_("top")`
`(P.E)_("TOP")=mgH=mg(u^(2)sin^(2)sin^(2)theta)/(2g)=(1)/(2)mu^(2) sin^(2)theta`
`rArr((P.E.)_("TOP"))/((K.E.)_("TOP"))=`
Promotional Banner

Topper's Solved these Questions

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-3|41 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise SOLVED EXAMPLE|28 Videos

  • MOTION IN A PALNE

    ALLEN |Exercise EXERCISE-1|99 Videos

  • KINEMATICS-2D

    ALLEN |Exercise Exercise (O-2)|47 Videos

  • NEWTON'S LAWS OF MOTION & FRICTION

    ALLEN |Exercise EXERCISE (JA)|4 Videos

Similar Questions

Explore conceptually related problems

If T is the total time of flight, h is the maximum height and R is the range for horizontal motion, the x and y coordinates of projectile motion and time t are related as

A body is executing circular motion in the vertical plane containing directions. If the direction of velocity (oversetrightarrow(v)) at the top most point is towards west, what is the direction of angular velocity (oversetrightarrow(omega))?

Let the population of rabbits surviving at a time t be governed by the differential equation d(p(t))/(dt)=1/2p(t)-200. If p(0)""=""100 , then p(t) equals (1) 400-300""e^(t//2) (2) 300-200""e^(-t//2) (3) 600-500""e^(t//2) (4) 400-300""e^(-t//2)

The electrical resistance in ohms of a certain thermometer varies with temperature according to the approximate law : R=R_(0)[1+alpha(T-T_(0))] The resitance is 101.6" "Omega at the triple-point of water 273.16 K, and 165.5" "Omega at the normal melting point of lead (600.5 K). What is the temperature when the resistance is 123.4" "Omega ?

The angle of elevation of the top of a tower from a point P on the ground is alpha . After walking a distance of d m towards the foot of the tower, the angle of elevation of the top of the tower is found to be beta . Then, ………..holds good.

If P, v and E denotes the momentum, velocity and K.E. of a particle then ......

From a point P on the ground the angle of elevation of the top of a 10m tail building is 30^(@) . A flag is hoisted at the top of the building and the angle of elevation of the top of the flagstaff from P is 45^(@) . Find the length of the flagstaff and the distance of the building from the point P. (You may take sqrt3= 1.732 )

A disc of radius R=2m starts rotating wth constant angular acceleration alpha=(2rad//s^(2)) . A block of mass m=2kg is kept at a distance (R)/(2) from the centre of disc. The coeffiecient of friction between disc and block is mu_(s)=0.4,mu_(k)=0.3 . Acceleration of block when it just slips w.r.t. ground and w.r.t. disc are respectively - ( g=10ms^(-2) )

The angle of elevation of the top of an adjustable pole from a point on the ground is 30^(@) . What will be the angle of elevation of the top of the pole if its height is tripled?

A particle is projected from the ground at an angle such that it just clears the top of a polar after t_1 time its path. It takes further t_2 time to reach the ground. What is the height of the pole ?

ALLEN -MOTION IN A PALNE-EXERCISE-2
  1. A particle is projected with a velocity u making an angle theta with t...

    Text Solution

    |

  2. The speed at the maximum height of a projectile is sqrt(3)/(2) times o...

    Text Solution

    |

  3. What is the ratio of P.E. w.r.t. ground and K.E. at the top most point...

    Text Solution

    |

  4. A ball is thrown at an angle theta with the horizontal and the range i...

    Text Solution

    |

  5. A student is able to throw a ball vertically to maximum height of 40m....

    Text Solution

    |

  6. Three projectile A, B and C are thrwon from the same point in the same...

    Text Solution

    |

  7. A projectile is thrown with an initial velocity of (a hati +b hatj) ms...

    Text Solution

    |

  8. The equation of a projectile is y=sqrt(3)x-(gx^(2))/(2) the angle of...

    Text Solution

    |

  9. The equation of projectile is y=16x-(x^(2))/(4) the horizontal range i...

    Text Solution

    |

  10. If a projectile is fired at an angle theta with the vertical with velo...

    Text Solution

    |

  11. If R is the maximum horizontal range of a particle, then the greatest ...

    Text Solution

    |

  12. Two stones are projected with the same speed but making different angl...

    Text Solution

    |

  13. A projectile is thrown from a point in a horizontal plane such that th...

    Text Solution

    |

  14. A particle is projected with a velocity v so that its range on a horiz...

    Text Solution

    |

  15. A projectile is thrwon into space so as to have the maximum possible h...

    Text Solution

    |

  16. A particle is fired with velocity u making angle theta with the horizo...

    Text Solution

    |

  17. A missile is fired for maximum range with an initial velocity of 40m//...

    Text Solution

    |

  18. An arrow is shot into air. Its range is 200m and its time of flight is...

    Text Solution

    |

  19. In the Q.23, the maximum height attained by the arrow is:-

    Text Solution

    |

  20. In the Q.23, the vertical component of the velocity is:-

    Text Solution

    |