When the planet Jupiter is at a distance of 824.7 million kilometres from the earth, its angular diameter is measured to be 35.72" of arc Calculate the diameter of Jupiter

The mass and the diameter of the planet jupiter are 309 times and 11 times the mass and the diameter of the earth respectively. Determine the acceleration due to gravity on the surface of jupiter.

A small astronomical telescope has an objective of focal length 50 cm and an eyepiece of focal length 5 cm . It is focussed at the sun and the final image is formed at a distance of 25 cm from the eyepiece . If the diameter of the sun subtends an angle of 32' at the centre of the objective calculate the angular magnification of the instrument and the actual size of the image.

The circular scale of screw gauge after two complete rotations advances 1 mm along the linear scale. The circular scale has 50 equal divisions and the mechanical error of the screw gauge is -0.03 mm . The linear scale reading =3 mm and the circular scale reading =35 when a student attempts to measure the diameter of a wire. Calculate the diameter from the given data.

When an air bubble rises from the bottom of a lake to the upper surface , its diameter increases from 1mm to 2mm. IF the atmospheric pressure is 76 cmHg,calculate the depth of the lake. Density of mercury is 13.6g.cm^-3 .