A TV tower has a height of 5 ~m in a region of population density 1000 per square kilometre. Number of people that can receive the transmission is nearly, (in thousands)

Step-by-step solution

Given, height of a TV tower, h=5 ~m population density, n= 1000 Now, the maximum range of this transmission depends upon the height of transmitting antenna and is given by d= 2 h R_e . where, h= height of tower and R_e= Radius of earth (R>>h) So, the number of people received the transmission, Population covered, (P_c )= population density (n) area of transmission range ( A ) Population covered, (P_c )=n A P_c= 1000 d^2 Area of transmission range, or gathered A= d^2 or P_c=1000 2 h R_e [ d^2=2 h R_e ] P_c=1000 2 5