Home
Class 12
MATHS
Suppose velocity of waves of wave leng...

Suppose velocity of waves of wave length `lambda` in the Atlantic ocean is `k sqrt{{((lambda)/(a))+((a)/(lambda)))}}` Where k and a are constants . Show that minimum velocity attained by the waves is independent of the constant a.

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    RESONANCE ENGLISH|Exercise Exersise-3 Part II|22 Videos
  • COMBINATORICS

    RESONANCE ENGLISH|Exercise Exercise-2 (Part-II: Previously Asked Question of RMO)|5 Videos

Similar Questions

Explore conceptually related problems

Two sound waves of wavelengths lambda_(1) and lambda_(2) (lambda _(2) gt lambda_(1)) produces n beats//s , the speed of sound is

The decay constant (lambda) for radioactive decay is independent of

When a wave travels in a medium, the particle displacement is given by, y = psin2 pi (qt - rx), where p, q and r are constants. The maximum particle velocity will be twice the wave velocity if

When a wave travels in a medium, the particle displacement is given by the equation y=asin 2pi(bt-cx), where a,b and c are constants. The maximum particle velocity will be twice the wave velocity. If

The ratio of uncertainity in wave length and uncertainity in velocity is equal to

Consider the equation (x^2)/(a^2+lambda)+(y^2)/(b^2+lambda)=1, where a and b are specified constants and lambda is an arbitrary parameter. Find a differential equation satisfied by it.

Simple harmonic wave is represented by the relation y (x, t) = a_(0) sin 2pi (vt - (x)/(lambda)) If the maximum particle velocity is three times the wave velocity, the wavelength lambda of the wave is

A simple harmonic wave is represent by the relation y(x,t)=a_(0) sin 2pi(vt-(x)/(lambda)) if the maximum particle velocity is three times the wave velocity, the wavelength lambda of the wave is

A transverse wave is represented by the equation y = y_(0) sin (2pi)/(lambda) (vt-x) For what value of lambda is the particle velocity equal to two time the wave velocity ?

Ocean waves of time period 10 s have wave velocity 15 ms^(-1) . Find the wavelength of these waves .

RESONANCE ENGLISH-APPLICATION OF DERIVATIVES-High Level Problems (HLP)
  1. Find positive real numbers 'a' and 'b' such that f(x) =ax-bx^(3) has...

    Text Solution

    |

  2. For any acute angled triangleABC,(sinA)/(A)+(sinB)/(B)+(sinC)/(C ) can

    Text Solution

    |

  3. Find the minimum value of f(x) =8^(x) +8^(-x) -4(4^(x)+4^(-x)) , AA x ...

    Text Solution

    |

  4. Show that height of the cylinder of greatest volume which can be in...

    Text Solution

    |

  5. The cosine of the angle at the vertex of an isosceles triangle having ...

    Text Solution

    |

  6. A cone is made from a circular sheet of radius sqrt3 by cutting out a ...

    Text Solution

    |

  7. Suppose velocity of waves of wave length lambda in the Atlantic ocea...

    Text Solution

    |

  8. Find the minimum distance of origin from the curve ax^(2) +2bxy+ay^(2)...

    Text Solution

    |

  9. Prove that e^x+sqrt(1+e^(2x))geq(1+x)+sqrt(2+2x+x^2)AAx in R

    Text Solution

    |

  10. Find which of the two larger log(1+x) " or " (tan^(-1)x)/(1+x).

    Text Solution

    |

  11. Letf'(sin x)lt0 and f''(sin x) gt0 forall x in (0,(pi)/(2)) and g(x) =...

    Text Solution

    |

  12. if f(x) =(2013) x^(2012) -(2012)x^(2011)-2014x+1007 then show that f...

    Text Solution

    |

  13. A function f is differentiable in the interval 0 le x le 5 such tha...

    Text Solution

    |

  14. Let f(x)a n dg(x) be differentiable functions such that f^(prime)(x)g(...

    Text Solution

    |

  15. f is continuous in [a, b] and differentiable in (a, b) (where a>0 ) su...

    Text Solution

    |

  16. If phi(x) is a differentiable function AAx in Rand a inR^(+) such that...

    Text Solution

    |

  17. Find all the values of the parameter'a' for which the function; f(x)=...

    Text Solution

    |

  18. Let h be a twice continuosly differentiable positive function on an op...

    Text Solution

    |

  19. If the complete set of value(s) of a for which the function f (x) =(a...

    Text Solution

    |

  20. If two curves y=2 sin ((5pix)/6) and y=alphax^(2)-3alphax+2alpha+1 to...

    Text Solution

    |