Question:
The density of a material in $CGS$ system of units is $4\,g\,cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$. the value of density of material will be
The density of a material in $CGS$ system of units is $4\,g\,cm^3$. In a system of units in which unit of length is $10\,cm$ and unit of mass is $100\,g$. the value of density of material will be
Updated On: Jul 25, 2024
- $0.04$
- $0.4$
- $40$
- $400$
Hide Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
$M = d \cdot V $
$\Rightarrow d =\frac{ M }{ L ^{3}}$
$\Rightarrow d =\frac{4 \,gm }{ cm ^{3}}=\frac{4(1 / 100)}{10^{-3}} $
$=40 \frac{ gm }{ cm ^{3}}$
$\Rightarrow d =\frac{ M }{ L ^{3}}$
$\Rightarrow d =\frac{4 \,gm }{ cm ^{3}}=\frac{4(1 / 100)}{10^{-3}} $
$=40 \frac{ gm }{ cm ^{3}}$
Was this answer helpful?
0
0
Top Questions on Uncertainty in Measurement
If the uncertainty in velocity and position of a minute particle in space are, \(2.4 × 10^{–26}\) \((m s^{–1)}\) and \(10^{–7} (m)\), respectively. The mass of the particle in g is _____ . (Nearest integer)
(Given : \(h = 6.626 × 10^{–34} Js\))- JEE Main - 2022
- Chemistry
- Uncertainty in Measurement
- The current voltage relation of diode is given by $I=\left(e^{1000 V / T}-1\right) mA$, where the applied voltage $V$ is in volt and the temperature $T$ is in kelvin. If a student makes an error measuring $\pm 0.01\, V$ while measuring the current of
- JEE Main - 2015
- Chemistry
- Uncertainty in Measurement
- The magnitude of any physical quantity
- Punjab PMET - 2006
- Chemistry
- Uncertainty in Measurement
- Match the following prefixes with their multiples:
S.No Prefixes Multiples (i) micro 106 (ii) deca 109 (iii) mega 10–6 (iv) giga 10–15 (v) femto 10 - CBSE Class XI
- Chemistry
- Uncertainty in Measurement
- How many significant figures are present in the following?
(i) 0.0025
(ii) 208
(iii) 5005
(iv) 126,000
(v) 500.0
(vi) 2.0034- CBSE Class XI
- Chemistry
- Uncertainty in Measurement
View More Questions
Questions Asked in NEET exam
- Match List I with List II:Choose the correct answer from the options given below:
List I List II A Robert May I Species-Area relationship B Alexander von Humboldt II Long term ecosystem experiment using out door plots C Paul Ehrlich III Global species diversity at about 7 million D David Tilman IV Rivet popper hypothesis - NEET (UG) - 2024
- Species diversity
- Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : The potential (V) at any axial point, at 2 m distance(r) from the centre of the dipole of dipole moment vector \(\vec{P}\) of magnitude, 4 × 10-6 C m, is ± 9 × 103 V.
(Take \(\frac{1}{4\pi\epsilon_0}=9\times10^9\) SI units)
Reason R : \(V=±\frac{2P}{4\pi \epsilon_0r^2}\), where r is the distance of any axial point, situated at 2 m from the centre of the dipole.
In the light of the above statements, choose the correct answer from the options given below :- NEET (UG) - 2024
- Magnetic Field
- Given below are two statements:
Statement I: Mitochondria and chloroplasts both double membranes bound organelles.
Statement II: Inner membrane of mitochondria is relatively less permeable, as compared chloroplast. I
In the light of the above statements, choose the mis appropriate answer from the options given below- NEET (UG) - 2024
- Cell structure and organelles
- Match List I with List II:Choose the correct answer from the options given below:
List I
List II
A Mesozoic Era I Lower invertebrates B Proterozoic Era II Fish & Amphibia C Cenozoic Era III Birds & Reptiles D Paleozoic Era IV Mammals - NEET (UG) - 2024
- Origin Of Life
- A parallel plate capacitor is charged by connecting it to a battery through a resistor. If I is the current in the circuit, then in the gap between the plates :
- NEET (UG) - 2024
- Capacitors and Capacitance
View More Questions
Concepts Used:
Uncertainty in Measurement
- Atoms and molecules consist of very low mass. But they are present in huge numbers.
- Chemists have to deal with numbers as large as 602,200,000,000,000,000,000,000, which is the number of molecules of 2g of hydrogen.
- There are even other constants like the speed of light, charges on particles, Avogadro’s number and etc.
- To handle these large or small numbers, we use the following notation: m × 10n, which is, m times ten raised to the power of n. In this expression, n is an exponent having positive and negative values and m is that number that varies from 1.000… and 9.999…
- The scientific notation 573.672 can be written as 5.73672 × 102 and in the same way, 0.000089 can also be written as 8.9 × 10-5.
- All of these help us to attain easier handling, better precision, and accuracy while performing operations on numbers with high magnitudes.
Read More: Uncertainty in Measurement