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qUESTIONS

11th-MH

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.

11th-MH

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.

11th-MH

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.

11th-MH

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?

11th-MH

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.

11th-MH

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?

11th-MH

The masses of two bodies are measured to be 15.7 ± 0.2 kg and 27.3 ± 0.3 kg. What is the total mass of the two and the error in it?

11th-MH

The acceleration due to gravity is determined by using a simple pendulum of length l = (100 plus/minus 0.1) cm. If its time period is T =(2 pm 0.01) s, find the maximum percentage error in the measurement of g.

11th-MH

In an experiment to determine the volume of an object, mass and density are recorded as m = (5 plus/minus 0.15) kg and rho = (5 plus/minus 0.2) kg m ^ – 3 respectively. Calculate percentage error in the measurement of volume.

11th-MH

The radius of a sphere measured repeatedly yields values 5.63 m, 5.54 m, 5.44 m, 5.40 m and 5.35 m. Determine the most probable value of radius and the mean absolute. relative and percentage errors.

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