Two planets A and B of radii R and 1.5 R have densities p and p/2 respectively. The ratio of acceleration due to gravity at the surface of B to A is : 
(1) 2 : 3 
(2) 2 : 1 
(3) 3 : 4
(4) 4 : 3                                                                                                                          JEE-2024   
Solution:                
Two planets A and B of radii R and 1.5 R have densities p and p/2 respectively. The ratio of acceleration due to gravity at the surface of B to A is : (1) 2 : 3 (2) 2 : 1 (3) 3 : 4 (4) 4 : 3 JEE-2024

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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