Menu Close

Problem 1: Express the given quantities using prefixes.

See Solution

Problem 2: The length and width of a rectangular plate are (15.6±0.1) cm  and (10.80 ± 0.01) cm, respectively. Calculate the area of the plate and uncertainty in it.

See Solution

Problem 3: The length of a pendulum is (100 ± 0.1) cm. If the acceleration of the free fall is (9.8 ± 0.1) m/s2, calculate the percentage uncertainty in the time period of the pendulum.

See Solution

Problem 4: Theory suggests that drag force depends upon the viscosity of the medium, average radius of the object and velocity of the object moving through the fluid. Derive a formula for dragging force of fluid by using dimensional analysis. (Hint: viscosity = ML-1T-1).

See Solution

Problem 5: (a) Suppose that the displacement of an object is related to time according to the expression x=Bt2. What are the dimensions of B?

(b) A displacement is related to time as x=Asin(2πft), where A and f are constants. Find the dimensions of A?

See Solution

Problem 6: Carry out the following conversions;

(a) Calculate the density of 1.33 * 10-7 g cm-3 into kg m-3.

(b) Calculate a speed of 20 m s-1 in km h-1.

See Solution

Problem 7: If there are N0 = 6.02 * 1023 atoms in 4 gm of helium. What is the mass of one helium atom?

See Solution

Problem 8: Compute the following to correct significant digits.

See Solution

Problem 9: A rectangular metallic piece is (3.7  0.01) cm wide, and (7.20  0.01) cm long.

(a) Find the area of the rectangular metallic piece and uncertainty in the area.

(b) Verify that the sum of the percentage uncertainty in the length and in the width is equal to 0.4%.

See Solution

Problem 10: Calculate the answer up to appropriate number of significant figures.

See Solution

Leave a Reply

Your email address will not be published. Required fields are marked *