Units and Measurements - Maharashtra Board STD 11 Science Physics Questions

If ten students are asked to measure the length of a piece of cloth upto a mm, using a metre scale, do you think their answers will be identical? Give reasons.

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Q 12Short Answer Type Question2 Marks

What are the dimensions of the quantity $I \sqrt{l / g}$, I being the length and $g$ the acceleration due to gravity?

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Q 13Short Answer Type Question2 Marks

Star A is farther than star B. Which star will have a large parallax angle?

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Q 14Short Answer Type Question2 Marks

Define the term : Arithmetic mean

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Q 15Short Answer Type Question2 Marks

What is personal error?

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Q 16Answer the following in Brief3 Marks

The diameter of a sphere is $2.14\ cm$. Calculate the volume of the sphere to the correct number of significant figures.

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Q 17Answer the following in Brief3 Marks

Write down the number of significant figures in the following: $0.003 m^2, 0.1250 gm cm^{-2}, 6.4 \times 10^6 m, 1.6 \times 10^{-19} C, 9.1 \times 10^{-31} kg.$

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Q 18Answer the following in Brief3 Marks

If the formula for a physical quantity is $X=\frac{a^4 b^3}{c^{1 / 3} d^{1 / 2}}$ 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 $X$.

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Q 19Answer the following in Brief3 Marks

When the planet Jupiter is at a distance of $824.7$ million kilometers from the Earth, its angular diameter is measured to be $35.72″$ of arc. Calculate the diameter of the Jupiter.

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Q 20Answer the following in Brief3 Marks

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) gm. Calculate the percentage error in the determination of density.

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Q 21Answer the following in Detail4 Marks

The length, breadth and thickness of a rectangular sheet of metal are $4.234\ m, 1.005\ m,$ and $2.01\ cm$ respectively. Give the area and volume of the sheet to correct significant figures.

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Q 22Answer the following in Detail4 Marks

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

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Q 23Answer the following in Detail4 Marks

Perform an experiment using a Vernier callipers of least count 0.01cm to measure the external diameter of a hollow cylinder. Take 3 readings at different positions on the cylinder and find (i) the mean diameter (ii) the absolute mean error and (iii) the percentage error in the measurement of diameter.

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Q 24Answer the following in Detail4 Marks

Derive the formula for kinetic energy of a particle having mass $m$ and velocity $v$ using dimensional analysis

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Q 25Answer the following in Detail4 Marks

If the measured values of two quantities are $A \pm \Delta A$ and $B \pm \Delta B, \triangle A$ and $\Delta B$ being the mean absolute errors. What is the maximum possible error in $A \pm B$ ? Show that if $Z=\frac{A}{B}$ $\frac{\Delta Z}{Z}=\frac{\Delta A}{A}+\frac{\Delta B}{B}$

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Q 26TRUE / FALSE1 Mark

State true or false. If false correct the statement and rewrite. Different quantities are measured in different units.

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Units and Measurements question types

Units and Measurements questions

Generate a Units and Measurements paper free

Units and Measurements Physics - Units and Measurements

Units and Measurements question types

Units and Measurements questions

Generate a Units and Measurements paper free