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  • In a cylinderical water tank , two small hole P and Q are made on the wall as shown in the figure , water coming out from both the holes stike the ground at same point . the ratio of <img alt=

In a cylinderical water tank , two small hole P and Q are made on the wall as shown in the figure , water coming out from both the holes stike the ground at same point . the ratio of h_1 \: \: and\: \: h_2 is 

Option: 1

1 


Option: 2

2 


Option: 3

> 1 


Option: 4

< 1 


Answers (1)

best_answer

As we have learned

Range -

R=2\sqrt{h(H-h)}

-

 

 Range 

R=2\sqrt{h(H-h)}

For P ; R_1 = 2 \sqrt{ (H-h_2 )h_2}\\\\ For Q ; R_2 = 2 \sqrt { H-h_1 (h_1)}\\\\ R_1 = R_2 \\\\ \Rightarrow (H-h _1) h_1 = (H-h_2 ) h_2 \\\\ \Rightarrow [H- (h_1+h_2)][h_1-h_2)] = 0

 H= h_1+ h_2 is irrelevent as the two holes are at any random position 

h_1= h_2\: \: or \: \: \frac{h_1}{h_2}= 1

 

 

Posted by

rishi.raj

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