Related InterviewSolutions

• The initial and final temperature of water were recorded as `(56.3 pm 0.4) ^(@)C` and `(27.5 + 0.3) ^(@)C` . Determine the fall in the temperature of water .
• The length and breadth of a rectangular block are 25.2 cm and 16.8 cm, which have both been measurd to an accurancy of 0.1 cm find the area of the rectangular block.
• The length of two rods are recorded as `l_(1) = (25.2 pm 0.1)` cm and `l_(2) = (16.8 pm 0.1)` cm . Find their combined length .
• Calculate the percentage error in specific resistance , `rho = pi r^(2) R // l `, where r = radius of wire `= 0.26 +- 0.02 cm` , l = length of wire `= 156.0 +- 0.1 cm`, and R = resistance of wire `= 64 +- 2 Omega`.
• In an experiment to measure focal length of a concave mirror , the value of focal length in successive observations turns out to be `17.3` cm , 17.8 cm , 18.3 cm , 18.2 cm , 17.9 cm and `18.0` cm . Calculate the mean absolute error and percentage error . Express the result in a proper way .
• The measured mass and volume of a body are `2.00` g and `5.0 cm^(3)` respectively . With possible errors of `0.01` g and `0.1 cm^(3)` , what would be the percent error in density ?
• The refractive index of water as measured by the relation `mu = ("Real depth")/("Apparent depth")` was found to have the values `1.29 , 1.33 , 1.34 , 1.35 , 1.32 , 1.36 , 1.30 , 1.33`. Calculate (i) mean value of `mu` (ii) mean value of absolute error (iii) relative error (iv) percentage error .
• A neutron star has a density equal to that of nuclear matter `(~= 2.8X0^(17) kg m^-3).` Assuming the star to be spherical, find the radius of the neutron star whose mass is `4.0X10^(30)kg.`
• The diameter of a sphere is `2.78` m . Calculate its volume with due regard to significant figures .
• The diameter of a circle is 2.486 m. Calculate the area with due regard to significant figures.