Home
Class 11
MATHS
A ripple tank demostrates the effect of ...

A ripple tank demostrates the effect of two water being added together. The two waves are described by `h=8 cost` and `h=6 sint`, where `t in [0,2pi)` is in second and h is the height in millimeters above still water. Find the maximum height of the resultant wave and the value of t at which it occurs.

Text Solution

Verified by Experts

The correct Answer is:
`3/4`
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRY

    FULL MARKS|Exercise Additional Questions Solved|59 Videos

  • TRIGONOMETRY

    FULL MARKS|Exercise Exercise 3.1|12 Videos

  • SOLVED PAPER 10

    FULL MARKS|Exercise PART-IV|8 Videos

  • TWO DIMENSIONAL ANALYTICAL GEOMETRY

    FULL MARKS|Exercise Additional Questions Solved|19 Videos

Similar Questions

Explore conceptually related problems

The height reached in time t by a particle thrown upward with a speed u is given by h=ut-1/2 g t^2 where g=9.8 m/s^2 is a constant. Find the time taken in reaching the maximum height.

Water leaks out from an open tank through a hole of area 2mm^2 in the bottom. Suppose water is filled up to a height of 80 cm and the area of cross section of the tankis 0.4 m^2 . The pressure at the open surface and the hole are equal to the atmospheric pressure. Neglect the small velocity of the water near the open surface in the tank. a. Find the initial speed of water coming out of the hole. b. Findteh speed of water coming out when half of water has leaked out. c. Find the volume of water leaked out during a time interval dt after the height remained is h. Thus find the decrease in height dh in term of h and dt. d. From the result of part c. find the time required for half of the water to leak out.

A container contains water up to a height of 20 cm and there is a point source at the centre of the bottom of the container. A rubber ring of radius r floats centrally on the water. The ceiling of the room is 2.0 m above the water surface. (a) Find the radius of the shadow of the ring formed on the ceiling if r = 15 cm. (b) Find the maximum value of r for which the shadow of the ring is formed on the ceiling. Refractive index of water =4/3.

A model rocket is launched from the ground. The height 'h' reached by the rocket after t seconds from lift off is given by h(t) = - 5t^(2) + 100t, 0 le t le 20 . At what time the rocket is 495 feet above the ground?

Two coils have amutual inductance 0.005 H. The current changes in the first coil according to the equation I= i_m sin omega t , where i_m = 10 A and w= 100 pi rad s^(-1) . The maximum value of the emf induced in the second coil is:

Find the time required for a cylindrical tank of radius 2.5 m and height 3 m to empty through a round hole of 2.5 cm with a velocity 2. 5sqrt(h) m/s, h being the depth of the water in the tank.

A ball is kept at a height h above the surface of a heavy transparent sphere made of a material of refractive index The radius of the sphere is R. At t = 0, the ball is dropped to fall normally on the sphere. Find the speed of the image formed as a function of time for tlt sqrt((2h)/g) . Consider only the image by a single refraction.

FULL MARKS-TRIGONOMETRY-Exercise 3.12
  1. A ripple tank demostrates the effect of two water being added together...

    Text Solution

    |

  2. (1)/(cos 80^(@)) - (sqrt(3))/(sin 80^(@)) =

    Text Solution

    |

  3. If cos 28^(@) + sin 28^(@) = k^(3), then cos 17^(@) is equal to

    Text Solution

    |

  4. The maximum value of 4 sin^(2) x + 3 cos^(2) x + sin ""(x)/(2) + cos""...

    Text Solution

    |

  5. (1 + cos"" (pi)/(8))(1 + cos"" (3pi)/(8)) (1 + cos"" (5pi)/(8))(1 + co...

    Text Solution

    |

  6. If pi lt 2 theta lt (3pi)/(2), then sqrt(2 + sqrt( 2 + 2 cos 4 theta))...

    Text Solution

    |

  7. If tan 40^(@) = lambda, then (tan 140^(@) - tan 130^(@))/(1 + tan 140^...

    Text Solution

    |

  8. cos 1^(@) + cos 2^(@) + cos 3^(@) + ….+ cos 179^(@) =

    Text Solution

    |

  9. Letf(4)(x) = (1)/(k) [ sin^(k) + cos^(k) x ] where x in RR and k ge1. ...

    Text Solution

    |

  10. Which of the following is not true?

    Text Solution

    |

  11. cos 2theta cos 2phi + sin^(2) (theta - phi ) - sin^(2) ( theta + phi) ...

    Text Solution

    |

  12. (sin(A - B))/(cos A cos B) + (sin (B - C))/( cos B cos C) + (sin(C - A...

    Text Solution

    |

  13. If cos ptheta + cos qtheta = 0 and if p ne q, then theta is equal to (...

    Text Solution

    |

  14. If tan alpha and tan beta are the roots of x^(2) + ax + b = 0, then (s...

    Text Solution

    |

  15. In a triangle ABC, sin^(2)A + sin^(2)B + sin^(2)C = 2, then the triang...

    Text Solution

    |

  16. If f(theta) = |sin theta| + |cos theta|,theta in RR, then f(theta) is ...

    Text Solution

    |

  17. (cos 6x + 6 cos 4x + 15 cos 2x + 10)/(cos 5x + 5 cos 3x + 10 cos x ) i...

    Text Solution

    |

  18. The triangle of maximum area with constant perimeter 12m

    Text Solution

    |

  19. A wheel is spinning at 2 radians/second. How many seconds will it take...

    Text Solution

    |

  20. If sin alpha + cos alpha = b, then sin 2alpha is equal to

    Text Solution

    |

  21. In a DeltaABC, if (i)sin (A)/(2) sin"" (B)/(2) sin"" (C )/(2) gt 0 (...

    Text Solution

    |