The ratio of powers of two motors is 

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
(1) 2 
(2) 4
(3) 2.4 
(4) 16
                                                      JEE-2024       
Solution:                
The ratio of powers of two motors is

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The magnetic field at the centre of a wire loop formed by two semi circular wires of radii R1 = 2 πm and R2 = 4π m carrying current I = 4A as per figure  given below is  a × 10^–7 T. The value of a is  ______. (Centre O is common for all segments)           

                                                                      JEE-2024