Units and Measurements — Practice Quiz
Maharashtra Board · Class 11 · Physics
Try a 4-question quiz on Units and Measurements for Maharashtra Board Class 11 Physics: tap an answer to check it and see why.
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Quick Quiz: Units and Measurements
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What is the SI unit of luminous intensity?
The dimensional formula for acceleration is:
A star is observed to have a parallax angle of 0.1 arcsec when viewed from two points on Earth's orbit separated by 2 AU. Calculate the distance to the star in parsecs.
How many significant figures are there in 0.00450?
Sample Questions
Which of the following are supplementary units in SI system?
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radian, steradian
Radian (rad) for plane angle and steradian (sr) for solid angle are the two supplementary units in SI system. Meter and kilogram are fundamental units, not supplementary.
Which of the following physical quantities have the same dimensions as energy?
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Work, Heat, Force × Distance
Energy has dimensions [ML²T⁻²]. Work = Force × Distance = [MLT⁻²] × [L] = [ML²T⁻²]. Heat is also a form of energy. Power has dimensions [ML²T⁻³] and momentum has [MLT⁻¹].
The radius of Earth is approximately 6400 km. Express this in scientific notation with appropriate significant figures:
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6.4 × 10⁶ m
6400 km = 6400 × 10³ m = 6.4 × 10⁶ m. The number 6400 has 2 significant figures (since trailing zeros without decimal point are not significant), so we write 6.4 × 10⁶ m.
If the period T of a simple pendulum depends on length l and acceleration due to gravity g, derive the relationship using dimensional analysis. What is the power of l?
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1/2
Let T ∝ l^a g^b. Dimensionally: [T] = [L]^a [LT⁻²]^b = [L^(a+b) T^(-2b)]. Comparing: a+b=0 and -2b=1, so b=-1/2 and a=1/2. Therefore, T ∝ l^(1/2).
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