Home
Class 12
MATHS
An electric light is placed directly ove...

An electric light is placed directly over the centre of a circular plot of lawn 100 m in diameter. Assuming that the intensity of light varies directly as the sine of the angle at which it strikes an illuminated surface and inversely as the square of its distance from its surface, how should the light be hung in order that the intensity may be as great as possible at the circumference of the plot?

Promotional Banner

Topper's Solved these Questions

  • 3D COORDINATION SYSTEM

    CENGAGE PUBLICATION|Exercise DPP 3.1|11 Videos

  • APPLICATION OF INTEGRALS

    CENGAGE PUBLICATION|Exercise All Questions|143 Videos

Similar Questions

Explore conceptually related problems

When the intensity of light is low during night the light is detected by

When the intensity of light is low during night the light is detected by

When light is polarised, how does its intensity change?

Which pigment acts directly to convert light energy to chemical energy?

The rms velocity of an ideal gas varies directly with its density as —

An electric bulb, a capacitor, a battery and a switch are all in series in a circuit. How does the intensity of light vary when the switch is turned on?

Volume of a sphere varies directly with cube of length of its radius and surface area of sphere varies directly with the square of the length of radius. Prove that the square of volume of sphere varies directly with cube of its surface area.

When a polaroid, placed in the path of light is rotated , the intensity of light appears to vary but never reduces to zero. The light is

The reflection from any smooth surface is ______ reflection of light.

CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Find the point at which the slope of the tangent of the function f(x)=...

    Text Solution

    |

  2. Find the equation of the tangent to the curve (1+x^2)y=2-x , where it ...

    Text Solution

    |

  3. An electric light is placed directly over the centre of a circular plo...

    Text Solution

    |

  4. A curve is given by the equation x=sec^(2)theta,y=cottheta. If the tan...

    Text Solution

    |

  5. Find the equations of the tangents drawn to the curve y^2-2x^3-4y+8...

    Text Solution

    |

  6. A square is inscribed in circle of radius R, a circle is inscribed in ...

    Text Solution

    |

  7. At the point P(a,a^n) on the graph of y=x^n(ninN) in the first quadran...

    Text Solution

    |

  8. Find the equation of the normal to the curve x^3+y^3=8x y at the point...

    Text Solution

    |

  9. If the slope of line through the origin which is tangent to the curve ...

    Text Solution

    |

  10. If f(x)=0 and g(x)=f(x)sqrt(1-2(f(x))^2) are strictly increasing AAx i...

    Text Solution

    |

  11. For the curve x y=c , prove that the portion of the tangent intercepte...

    Text Solution

    |

  12. Water is dropped at the rate of 2 m^3/s into a cone of semi-vertical a...

    Text Solution

    |

  13. f(x)=[x] is step-up function. Is it a monotonically increasing functio...

    Text Solution

    |

  14. Find the equation of the normal to the curve x^(2) = 4y which passes t...

    Text Solution

    |

  15. Suppose a , b , c are such that the curve y=a x^2+b x+c is tangent to ...

    Text Solution

    |

  16. If fogoh(x) is an increasing function, then which of the following is...

    Text Solution

    |

  17. Show that the tangent to the curve 3x y^2-2x^2y=1a t(1,1) meets the cu...

    Text Solution

    |

  18. Let y=f(x) be drawn with f(0) =2 and for each real number a the line t...

    Text Solution

    |

  19. Let f:[0,oo)to[0,oo)a n dg:[0,oo)to[0,oo) be non-increasing and non-de...

    Text Solution

    |

  20. Find the normal to the curve x=a(1+cos theta),y=a sintheta at theta....

    Text Solution

    |