Units, Dimensions and Vectors
NIOS · Class 12 · Physics
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Explore the full setState the seven base SI units with their symbols and the physical quantities they measure.
Answer
The seven base SI units are: 1. Length → metre (m) 2. Mass → kilogram (kg) 3. Time → second (s) 4. Electric Current → ampere (A) 5. Temperature → kelvin (K) 6. Luminous Intensity → candela (cd) 7. Amo…
A radio station broadcasts at 1370 kHz. Convert this frequency to GHz.
Answer
Given: Frequency = 1370 kHz Find: Frequency in GHz Step 1: Convert kHz to Hz 1370 kHz = 1370 × 10³ Hz = 1.370 × 10⁶ Hz Step 2: Convert Hz to GHz 1 GHz = 10⁹ Hz ∴ Frequency = 1.370 × 10⁶ / 10⁹ GHz =…
How many significant figures are in each of the following? (a) 426.69 (b) 4200304.002 (c) 0.3040 (d) 5000
Answer
(a) 426.69 → 5 significant figures Rule: All non-zero digits are significant. (b) 4200304.002 → 10 significant figures Rule: All zeros between non-zero digits are significant. (c) 0.3040 → 4 s…
A plate has length 3.003 m and width 2.26 m. Calculate its area correctly, respecting significant figures.
Answer
Given: Length = 3.003 m (4 sig. figs), Width = 2.26 m (3 sig. figs) Find: Area Step 1: Multiply Area = 3.003 × 2.26 = 6.78678 m² Step 2: Apply significant figures rule for multiplication Rule: Resul…
Why do we need standard units in science? What problem arises without them?
Answer
We need standard units because: 1. Universal Communication: Scientists worldwide must understand each other's measurements. If one uses 'tolas' and another uses 'grams', results cannot be compared.
What is the SI definition of one metre and one second?
Answer
One Metre: Defined as the distance travelled by light in vacuum in a time interval of 1/299,792,458 second. (Based on speed of light = 299,792,458 m/s exactly) One Second: Defined as the time require…
Write the dimensional formula for: (a) Velocity (b) Acceleration (c) Force (d) Work/Energy
Answer
Dimensional Formulas: (a) Velocity = Distance / Time → [LT⁻¹] (b) Acceleration = Velocity / Time = Distance / Time² → [LT⁻²] (c) Force = Mass × Acceleration → [M][LT⁻²] = [MLT⁻²] (d) Work = Force …
Check the dimensional correctness of: s = ut + ½at² where s = distance, u = initial velocity, a = acceleration, t = time
Answer
Method: Check if all terms on both sides have the same dimensions. LHS: s = distance → [L] RHS Term 1: ut = [LT⁻¹][T] = [L] ✓ RHS Term 2: ½at² Note: ½ has no dimensions = [LT⁻²][T²] = [L] ✓ Conclu…
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