the radius of the earth is 6380 km and the height of the mount everest is 8848m

Explanation:

g = GM / R²

9.77 m/s² = GM / (6.38×10⁶ m + 8848 m)²

GM = 3.99×10¹⁴ m³/s²

At the surface of the earth:

g = GM / R²

g = (3.99×10¹⁴ m³/s²) / (6.38×10⁶ m)²

g = 9.80 m/s²

At the top of Mount Everest, the weight of a 50 kg object is:

F = mg

F = (50 kg) (9.77 m/s²)

F = 489 N

Torque,

Explanation:

Given that,

Number of turns in a circular coil, N = 400

Radius of the circular coil, r = 0.65 cm

Current in the coil, I = 1.2 mA

Uniform magnetic field in the circular coil, B = 0.2 T

Torque in the circular coil is given by :

For maximum torque,

So, the net torque about the vertical axis is . Hence, this is the required solution.