English
Karnataka Board PUCPUC Science Class 11

The mean length of an object is 5 cm. Which of the following measurements is most accurate? - Physics

Advertisements
Advertisements

Question

The mean length of an object is 5 cm. Which of the following measurements is most accurate?

Options

  • 4.9 cm

  • 4.805 cm

  • 5.25 cm

  • 5.4 cm

MCQ
Advertisements

Solution

4.9 cm

Explanation:

Given, length `l` = 5 cm

Now, Checking the errors with each option one by one, we get

`Δl_1` = 5 – 49 = 0.1 cm

`Δl_2` = 5 – 4.805 = 0.195 cm

`Δl_3` = 5.25 – 5 = 0.25 cm

`Δl_4` = 5.4 – 5 = 0.4 cm

Error `Δl_1` is the least.

Hence, 4.9 cm is the most precise.

shaalaa.com
  Is there an error in this question or solution?
Chapter 2: Units and Measurements - Exercises [Page 7]

APPEARS IN

NCERT Exemplar Physics [English] Class 11
Chapter 2 Units and Measurements
Exercises | Q 2.10 | Page 7

RELATED QUESTIONS

Define Mean absolute error.


Define relative error.


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?


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


In a workshop, a worker measures the length of a steel plate with Vernier calipers 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.


Solve the numerical example.

If the formula for a physical quantity is X = `("a"^4"b"^3)/("c"^(1//3)"d"^(1//2))` and if the percentage error in the measurements of a, b, c and d are 2%, 3%, 3% and 4% respectively. Calculate percentage error in X.


If Q = `"X"^"n"/"Y"^"m"` and Δx is absolute error in the measurement of X, Δy is absolute error in the measurement of Y, then absolute error ΔQ in Q is ______.


The relative density of a metal may be found by hanging a block of the metal from a spring balance and nothing that in air, the balance reads (5 .00 ± 0.05)N while in water, it reads (4.00 ± 0.05)N. The relative density would be quoted as ______.


A physical quantity X is related to four measurable quantities a, b, c and d as follows: X = a2 b3 c5/2d–2. The percentage error in the measurement of a, b, c and d are 1%, 2%, 3% and 4%, respectively. What is the percentage error in quantity X? If the value of X calculated on the basis of the above relation is 2.763, to what value should you round off the result.


In a Screw Gauge, the fifth division of the circular scale coincides with the reference line when the ratchet is closed. There are 50 divisions on the circular scale, and the main scale moves by 0.5 mm on a complete rotation. For a particular observation, the reading on the main scale is 5 mm and the 20th division of the circular scale coincides with the reference line. Calculate the true reading.


The dependence of g on geographical latitude at sea level is given by `g = g_0(1 + betasin^2Phi)` where Φ is the latitude angle and β is a dimensionless constant. If Δg is the error in the measurement of g then the error in measurement of latitude angle is ______.


A travelling microscope has 20 divisions per cm on the main scale while its Vernier scale has total 50 divisions and 25 Vernier scale divisions are equal to 24 main scale divisions, what is the least count of the travelling microscope?


The least count of the main scale of a screw gauge is 1 mm. The minimun number of divisions on its circular scale required to measure 5 µm diameter of a wire is ______.


Reading a graduated cylinder at an angle (parallax error) is a specific example of which type of systematic error?


Systematic errors cause all measurements to shift in the same direction. What does this primarily affect?

 

What are random errors?


Which of the following is an environmental error?


Zero error of an instrument introduces ______.


Error due to non-removal of parallax between pointer and its image in case of magnetic compass needle causes ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×