Home
Class 12
PHYSICS
A stone is projected from level ground a...

A stone is projected from level ground at `t=0` sec such that its horizontal and vertical components of initial velocity are `10(m)/(s)` and `20(m)/(s)` respectively. Then the instant of time at which tangential and normal components of acceleration of stone are same is: (neglect air resistance)`g=10(m)/(s^2)`.

A

`4%`

B

`3%`

C

`2%`

D

`1%`

Text Solution

Verified by Experts

The correct Answer is:
D

Area `A=lxxb`
`l=25.2 cm and Deltal=0.1cm" "b=16.8 cm and Deltab=0.1 cm`
`therefore" Relative error in area "((DeltaA)/(A))=((Deltal)/(l))+((Deltab)/(b))=((0.1)/(25.2))+((0.1)/(16.8))=0.004+0.006=0.01`
`((DeltaA)/(A))100=0.01xx100`
`"Percentage = 1%"`
Promotional Banner

Topper's Solved these Questions

  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE - 1|11 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise PRACTICE EXERCISE - 2|7 Videos
  • UNITS, MEASUREMENTS & ERRORS

    VMC MODULES ENGLISH|Exercise Illustration|24 Videos
  • SYSTEM OF PARTICLES AND ROTATIONAL MOTION

    VMC MODULES ENGLISH|Exercise IMPECCABLE|56 Videos
  • WAVE MOTION

    VMC MODULES ENGLISH|Exercise JEE ADVANCED ARCHIVE LEVEL 2 (TRUE FALSE TYPE)|4 Videos

Similar Questions

Explore conceptually related problems

A stone is projectef from level ground such that its horizontal and vertical components of initial velocity are u_x=10(m)/(s) and u_y=20(m)/(s) respectively. Then the angle between velocity vector of stone one second before and one second after it attains maximum height is:

A body is projected with an initial velocity of 58.8 m/s at angle 60° with the vertical. The vertical component of velocity after 2 sec is

A projectile is fired at an angle of 30^(@) to the horizontal such that the vertical component of its initial velocity is 80m//s . Its time of fight is T . Its velocity at t=T//4 has a magnitude of nearly.

A particle is projected with velocity 20sqrt(2)m//s at 45^(@) with horizontal. After 1s , find tangential and normal acceleration of the particle. Also, find radius of curvature of the trajectory at that point. (Take g=10m//s^(2))

A body is projected with an initial Velocity 20 m/s at 60° to the horizontal. Its initial velocity vector is- (g=10 m//s^2 )

Two stones are projected from level ground. Trajectory of two stones are shown in figure. Both stones have same maximum heights above level ground as shown. Let T_(1) and T_(2) be their time of flights and u_(1) and u_(2) be their speeds of projection respectively (neglect air resistance). then

A body is thrown into air with a velocity 5 m/s making an angle 30^(@) with the horizontal .If the vertical component of the velocity is 5 m/s what is the velocity of the body ? Also find the horizontal component .

A stone is dropped from a height 300 m and at the same time another stone is projected vertically upwards with a velocity of 100m//sec . Find when and where the two stones meet.

A stone is projected with speed 20 m//s at angle 37^(@) with the horizontal and it hits the ground with speed 12m//s due to air resistance. Assume the effect of air resistance to reduce only horizontal component of velocity. Then the time of flight will be-

A stone is projected from the ground with a velocity of 20 m/s at angle 30^(@) with the horizontal. After one second it clears a wall then find height of the wall. (g=10 ms^(-2))

VMC MODULES ENGLISH-UNITS, MEASUREMENTS & ERRORS-SOLVED EXAMPLES
  1. The refractive index of the material of the prism and liquid are 1.56 ...

    Text Solution

    |

  2. A stone is projected from level ground at t=0 sec such that its horizo...

    Text Solution

    |

  3. Fruit colour in squash is an example of

    Text Solution

    |

  4. If L=20.04m pm 0.01m, B=2.52 m pm 0.02 m. The value of (LxxB) is

    Text Solution

    |

  5. One side of a cube is measured as a=4.03pm 1%. What is its value?

    Text Solution

    |

  6. The density of a cube is measured by measuring its mass and the length...

    Text Solution

    |

  7. The error in the measurement of the radius of a sphere is 1%. Find the...

    Text Solution

    |

  8. An experiment measured quantity a, b, c and then x is calculated from ...

    Text Solution

    |

  9. The percentage errors in the measurement of mass and speed are 2% and ...

    Text Solution

    |

  10. The dimensional formula for a physical quantity x is [M^(-1) L^(3) T^(...

    Text Solution

    |

  11. The error in the measurement of the length of the sample pendulum is ...

    Text Solution

    |

  12. The measure of mass and volume of a body are 2.00 g and 5.0 cm^3 respe...

    Text Solution

    |

  13. The error in the measurement of the length of a simple pendulum is 0.1...

    Text Solution

    |

  14. Two resistances R(1) = 100 +- 3 Omega and R(2) = 200 +- 4 Omega are co...

    Text Solution

    |

  15. The period of oscillation of a simple pendulum is T = 2pisqrt(L/g). Me...

    Text Solution

    |

  16. The significant figures of 0.007 is

    Text Solution

    |

  17. 20.96 rounded off to 3 significant figures is

    Text Solution

    |

  18. The value of pi//53.2 with due regard to singificant figures is,

    Text Solution

    |

  19. A substance having mass 5.74 g occupies a volume of 1.2cm^3. Caluclate...

    Text Solution

    |

  20. The length of a rod is 2.5 cm and diameter is 2.5 mm. The volume of th...

    Text Solution

    |