Gravitational potential versus distance r graph is represented in fig. The magnitude of gravitational field intensity is equal to X (N/kg). Then find X.
Physics · Mixed Chapter
JEE Mains

Question

Gravitational potential versus distance r graph is represented in fig. The magnitude of gravitational field intensity is equal to X (N/kg). Then find X.

G1 Physics · Accepted Answer

Step 1: Consecutive equipotential lines show a potential difference ΔV=8−4=4 J/kg. Step 2: Their intercept separation on the r-axis is 1 m and each line makes angle 30° with the r-axis. Perpendicular distance between them is 1×sin30°=0.5 m. Step 3: Gravitational field intensity magnitude is the potential gradient normal to the equipotential lines: g=|ΔV|/d=4/0.5=8 N/kg. Therefore X=8.