मराठी
महाराष्ट्र राज्य शिक्षण मंडळएचएससी विज्ञान (सामान्य) इयत्ता ११ वी

The error in the measurement of the sides of a rectangle is 1%. The error in the measurement of its area is ______.

Advertisements
Advertisements

प्रश्न

The error in the measurement of the sides of a rectangle is 1%. The error in the measurement of its area is ______.

पर्याय

  • 1%

  • `(1//2)`%

  • 2%

  • None of the above

MCQ
रिकाम्या जागा भरा
Advertisements

उत्तर

The error in the measurement of the sides of a rectangle is 1%. The error in the measurement of its area is 2%.

Explanation:

A = l × b

∴ `(triangle"A")/"A" = (trianglel)/l + (triangle "b")/"b"` = 1% + 1% = 2

shaalaa.com
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1: Units and Measurements - Exercises [पृष्ठ १४]

APPEARS IN

बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 1 Units and Measurements
Exercises | Q 1. (ii) | पृष्ठ १४

संबंधित प्रश्‍न

Define relative error.


Answer the following question.

Show that if Z = `"A"/"B"`, `(triangle"Z")/"Z" = (triangle"A")/"A" + (triangle "B")/"B"`


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?


Solve the numerical example.

If the length of a cylinder is l = (4.00 ± 0.001) cm, radius r = (0.0250 ± 0.001) cm and mass m = (6.25 ± 0.01) g. Calculate the percentage error in the determination of density.


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 ______.


You measure two quantities as A = 1.0 m ± 0.2 m, B = 2.0 m ± 0.2 m. We should report correct value for `sqrt(AB)` 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.


If E, L, M, and G denote the quantities as energy, angular momentum, mass, and constant of gravitation respectively, then the dimensions of P in the formula P = EL2M−5G−2 are ______.


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?


A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on main scale and 50 Vernier scale divisions are equal to 49 main scale divisions, then least count of the travelling microscope is ______ × 10-6 m. 


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 ______.


A thermometer always reads 2°C higher than the actual temperature because its zero mark is incorrect. What type of error is this?


A laboratory balance shows a mass reading even when no object is placed on the pan. What is the main cause of this error?


What are random errors?


A weighing scale that always reads a constant +0.2 kg because its zero mark is misaligned is a clear example of a(n):


A student reads a measuring cylinder from above the liquid level, causing the reading to be higher than the actual value. What type of error is this?


Which one of the following is an effective way to reduce systematic errors in an experiment?


Zero error of an instrument introduces ______.


Instrumental error can be minimised by ______.


The reason behind holding thermometer in the mouth instead of the armpit is to reduce ______.


Constant error can be caused due to ______.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×