v31

A

`10 ms^(-2)`

B

`100 ms^(-2)`

C

`130/15 ms^(-2)`

D

`140/15 ms^(-2)`

Text Solution

Verified by Experts

The correct Answer is:
C

Let height of point P above the ground be h.
`u cos 53^(@)t + h = 1//2at^(2)`.......... (i)
`(u sin 53^(@) -"gt")/(u cos 53^(@) -at) =1`.......... (ii)
`h = 4 sin 53^(@) t - 1/2 "gt"^(2)`........... (iii)
On solving above equations, we get
`a = 130/15 ms^(-2)`
Promotional Banner

Topper's Solved these Questions

  • NTA TPC JEE MAIN TEST 60

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos
  • NTA TPC JEE MAIN TEST 63

    NTA MOCK TESTS|Exercise PHYSICS|30 Videos

Similar Questions

Explore conceptually related problems

Find the square root of the following decimal numbers.(i) 2.56 (ii) 7.29 (iii) 51.84 (iv) 42.25(v) 31.36

The square root of the complex number z= (u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is (in terms of u, v, w )

The square root of the complex number z =(u^(2))/(v^(2))+(v^(2))/(u^(2))+(1)/(2i)((u)/(v)+(v)/(u))+(31)/(16) is

A capacitor with capacitance C=1.0 muF and a coil with active resitance R=0.10 Omega and inductance L=1.0 m H are connected in parallel to a source of sinusoidal voltage V=31 V . Find : (a) the frequency omega at which the resonance sets in , (b) the effective value of the fed current in resonance , as well as the corresponding currents flowing through the coil and through the capacitor.

1 mole heptane (V.P = 92 mm of Hg) is mixed with 4 mol. Octane (V.P = 31 mm of Hg) , form an ideal solution. Find out the vapour pressure of solution.

A particle is moving along a vertical circle of radius R=20 m with a constant speed v=31.4 m//s as shown in the figure. Straight line ABC is horizontal and passes through the centre of the circle. A shell is fired from point A at the instant when particle is at C . The distance AB is 20sqrt(3)m and shell collides with the particle at B , if smallest possible value of the angle of projection is k xx 10^(@) then find the value of k .

Calculate the emf of silver-iron thermocouple with junction at 10^(@) C and 80^(@)C given alpha =+13.31 mu V.^(@)C^(-1) and beta=-0.019 mu V.^(@)C^(-2) .

The reduction potential of the two half cell reactions (occuring in an electrochemical cell) are PbSO_(4)+ 2e^(-)rarrPb+SO_(4)^(2-) (E^(@)=-0.31V) Ag^(+)(aq)+e^(-)rarrAg(s)(E^(@)=+0.80V) The fessible reaction will be

The reduction potential of the two half cell reaction (occurring in an electrochemical cell) are PbSO_(4)(s)+2e^(-)rarrPb(s)+SO_(4)^(2-)(aq)(E^(@)=-0.31V) Ag^(+)(aq)+e^(-)rarrAg(s)(E^(@)=0.80V) The feasible reaction will be

NTA MOCK TESTS-NTA TPC JEE MAIN TEST 62-PHYSICS
  1. A uniform electric field E=2xx10^(3)NC^(-1) is acting along the positi...

    Text Solution

    |

  2. If 50 Joule of work must be done to move electric charge of 2C from a ...

    Text Solution

    |

  3. v31

    Text Solution

    |

  4. Hot water cools from 60^@C to 50^@C in the first 10 min and to 42^@C i...

    Text Solution

    |

  5. A copper rod of mass m slides under gravity on two smooth parallel rai...

    Text Solution

    |

  6. An air chamber of volume V has a neck of cross-sectional area a into w...

    Text Solution

    |

  7. The dimensional formula of coefficient of viscosity is

    Text Solution

    |

  8. A plane is in level flight at constant speed and each of the two wings...

    Text Solution

    |

  9. For a magnification of 375 from a compound microscope of tube length 1...

    Text Solution

    |

  10. Power of the corrective lens that should be used to account for a hype...

    Text Solution

    |

  11. A solid cylinder has diameter D and length L. Find its moment of inert...

    Text Solution

    |

  12. Four particles of mass m moving with speed v towards the centroid. If ...

    Text Solution

    |

  13. Efficiency of a Carnot engine is 26.81%. To increase its efficiency by...

    Text Solution

    |

  14. A gaseous mixture enclosed in a vessel consists of one gram mole of a ...

    Text Solution

    |

  15. A screen is at distance D = 80 cm form a diagram having two narrow sli...

    Text Solution

    |

  16. What is the speed of projection of a particle which strikes the roof o...

    Text Solution

    |

  17. Which of the following quantity should be increased beyond a threshold...

    Text Solution

    |

  18. Calculate the number of days after the beginning of production of a ra...

    Text Solution

    |

  19. When a metallic surface is illuminated with radiation of wavelength la...

    Text Solution

    |

  20. The electric vector vibration of an electromagnetic wave is given by E...

    Text Solution

    |