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qUESTIONS

When the planet Jupiter is at a distance of 824.7 million kilometers from the Earth, its angular diameter is measured to be 35.72″ of arc. Calculate the diameter of the Jupiter.

If the length of a cylinder is l = (4.00±0.001) cm, radius r = (0.0250 ±0.001) cm and mass m = (6.25±0.01) gm. Calculate the percentage error in the determination of density.

An object is falling freely under the gravitational force. Its velocity after travelling a distance h is v. If v depends upon gravitational acceleration g and distance, prove with dimensional analysis that v = k gh where k is a constant.

In Ohm’s experiments, the values of the unknown resistances were found to be 6.12Ω, 6.09Ω, 6.22Ω,6.15Ω. Calculate the absolute error, relative error and percentage error in these measurements.

Find the percentage error in kinetic energy of a body having mass 60.0 ± 0.3 g moving with a velocity 25.0 ± 0.1 cm/s.

In a workshop a worker measures the length of a steel plate with a Vernier callipers having a least count 0.01 cm. Four such measurements of the length yielded the following values: 3.11 cm, 3.13 cm, 3.14 cm, 3.14 cm. Find the mean length, the mean absolute error and the percentage error in the measured value of the length.

Nuclear radius R has a dependence on the mass number (A) as R =1.3×10- 16A1/3 m. For a nucleus of mass number A=125, obtain the order of magnitude of R expressed in metre.

A large ball 2 m in radius is made up of a rope of square cross section with edge length 4 mm. Neglecting the air gaps in the ball, what is the total length of the rope to the nearest order of magnitude?

An electron with charge e enters a uniform. magnetic field B with a velocity v. The velocity is perpendicular to the magnetic field. The force on the charge e is given by | F Bev|= Obtain the dimensions of B.

The distance travelled by an object in time (100 ± 1) s is (5.2 ± 0.1) m. What is the speed and it’s error?

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