Physics

# If the random error in the arithmetic mean of 50 observation is $\alpha$, then the random error in the arithmetic mean of 150 observations would be

$\dfrac { \alpha }{ 3 }$

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Single Correct Medium Published on 18th 08, 2020
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Subjects 8
Chapters 125
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#### Realted Questions

Q1 Single Correct Medium
The dependence of $g$ on geographical latitude at sea level is given by $g = g_0(1 + \beta\sin^2\phi)$ where $\phi$ is the latitude angle and $\beta$ is a dimensionless constant. It $\Delta g$ is the error in the measurement of $g$ then the error in measurement of latitude angle is
• A. $\Delta_{2\phi}=\cfrac{3\Delta g}{g_0\beta\sin(2\phi)}$
• B. $\Delta_{\phi}=\cfrac{\Delta g}{g_0\beta\cos(2\phi)}$
• C. $\Delta_{\phi}=\cfrac{\Delta g}{g_0}$
• D. Zero

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q2 Single Correct Medium
If we weigh a given substance five times, and get 5 kg each time, then your measurement is very __________.
• A. Accurate
• B. Precised
• C. Accurate and Precised
• D. Cannot be judged

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q3 Single Correct Medium
The pair of physical quantities that have same dimensions are:
a) Reynold's number and coefficient of friction
b) Latent heat and gravitational potential
c) Curie and frequency of light wave
d) Planck constant and torque
• A. b and c are correct
• B. a and b are correct
• C. a, b and c are correct
• D. all are correct

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q4 Matrix Hard
Match List I with List II and select the correct answer using the codes given below the lists:
 Boltzmann Constant $[\mathrm{M}\mathrm{L}^{2}\mathrm{T}^{-1}]$ Coefficient of viscosity [$ML ^{-1}\mathrm{T}^{-1}$] Plank Constant $[\mathrm{M}\mathrm{L}\mathrm{T}^{-3}\mathrm{K}^{-1}]$ Thermal conductivity $[\mathrm{M}\mathrm{L}^{2}\mathrm{T}^{-2}\mathrm{K}^{-1}]$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020

Q5 Single Correct Medium
The thickness of a metal sheet is measured to be $326 mm$. Express its order of magnitude in mm.
• A. $10^0$
• B. $10^1$
• C. $10^2$
• D. $10^3$

Asked in: Physics - Units and Measurement

1 Verified Answer | Published on 18th 08, 2020