JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 2

A drop of olive oil of radius 1mm spreads into a circular film of diameter 40 cm on water surface. Estimate the size of an oil molecule. Answer: Volume should be conserved. Radius of olive oil R = 1mm. Radius of oil after spread ... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 3

The Sun’s angular diameter is measured to be 1920''. The distance D of the Sun from the Earth is m. What is the diameter of the Sun? Answer: Sun’s angular diameter = 1920'' Sun’s diameter ... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 4

The unit of length convenient on the nuclear scale is a fermi. . Nuclear sizes obey roughly the following empirical relation: where r is the radius of nucleus, A its mass number and r0 is a constant equal to about 1.2 fermi. S... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 5

A physical quantity Q is given by The percentage error in A, B, C, D are 1%, 2%, 4%, 2% respectively. Find the percentage error in Q. Answer: Percentage of error in ... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 11

The length and breadth of a rectangular area are 25.2 cm and 16.8 cm respectively and have been measured to an accuracy of 0.1 cm. Find the percentage error in the area. Answer: Percentage of error Percentage of error &nbs... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 12

While measuring the volume of a sphere an error of 1.2% is committed in the measurement of radius. What percentage error is introduced in the measurement of volume? Answer: where is a constant. It is easy to say that Devid... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 13

The time of oscillation (t) of a small drop of liquid under surface tension depends upon the density ρ, radius r and surface tension σ.Prove dimensionally that Answer: Time of oscillation where k is constant.Writi... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 14

Liquid is flowing through steadily through a pipe. Assume that the volume of the liquid flowing out per second depends on (a) The coefficient of the viscosity of the liquid η (b) The radius of the pipe r (c) The pressure gradient a... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 15

Show dimensionally that the frequency n of transverse waves in a string of length l and mass per unit length m under a tension T is given by Answer: Let us suppose that, where K is a dimensionless constant and a, b, c are... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 16

If the length and time period of an oscillating pendulum have errors of 1% and 2% respectively, what is the error in the estimate of g? Answer: We have, Percentage of error in g = 1 + 2 x 2 = 5%... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 17

A physical quantity P is related to four observable a, b, c and d as follows: The percentage error of measurement in a, b, c and d are 1%, 3%, 4%, 2% respectively. What is the percentage error in the quantity P? If the value of P calcul... read more

JEE-Main - Grade 11 - Physics - Units and Measurements - Study ref# 18

The volume V of a cylinder of diameter d and height h is given by Both the diameter of the cylinder and its height are measured using a metre scale having a least count of 0.1 cm. Find the percentage error in the measurement of V if d = 1.... read more