Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  •  The ratio of powers of two motors is <img alt="\frac{3 \sqrt{x}}{\sqrt{x}+1}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cfrac%7B3%20%5Csqrt%7Bx%7D%7D%7B%5Csqrt%7Bx%7D&pl

 The ratio of powers of two motors is \frac{3 \sqrt{x}}{\sqrt{x}+1}, that are capable of raising 300 kg water in 5 minutes and 50 kg water in 2 minutes respectively from a well of 100 m deep. The value of x will be

Option: 1

16


Option: 2

2


Option: 3

4

 


Option: 4

2.4


Answers (1)

\begin{aligned} & P=\frac{\text { Work }}{\text { Time }} \\ \\& P_1=\frac{m g h}{t_1}=\frac{(300) g(100)}{5} \\ \\& P_2=\frac{(50) g(100)}{2} \end{aligned}

\begin{aligned} & \frac{P_1}{P_2}=\frac{600}{250}=\frac{12}{5}=\frac{3 \times 4}{4+1} \\ \\& \frac{P_1}{P_2}=\frac{3 \sqrt{16}}{\sqrt{16}+1} \\ \\& x=16 \end{aligned}

 

Posted by

Ramraj Saini

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective
anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’
anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

Latest Question