General
✓✗The dimensional formula of velocity is
- [LT−1]
- [L2T−1]
- [MLT−1]
- [LT−2]
General
✓✗Which of the following statements are correct?
A. All quantities having units must have dimensions.
B. All dimensionless quantities are unitless.
C. A dimensionally correct equation need not be physically correct.
D. A physically correct equation must be dimensionally correct.
E. Dimensional analysis can find the value of numerical constants.
Choose the correct answer from the options given below.
A. All quantities having units must have dimensions.
B. All dimensionless quantities are unitless.
C. A dimensionally correct equation need not be physically correct.
D. A physically correct equation must be dimensionally correct.
E. Dimensional analysis can find the value of numerical constants.
Choose the correct answer from the options given below.
- C and D only
- A, C and D only
- B, C and D only
- A, B and E only
General
✓✗The dimensional formula of acceleration is
- [LT−1]
- [MLT−2]
- [LT−2]
- [L2T−2]
General
✓✗A metal wire has mass (0.4 ± 0.002) g, radius (0.3 ± 0.001) mm and length (5 ± 0.02) cm. The maximum possible percentage error in the measurement of density will nearly be
- 1.3%
- 1.4%
- 1.2%
- 1.6%
General
✓✗The pair of quantities having same dimensions is
- Impulse and Surface Tension
- Angular momentum and Work
- Work and Torque
- Young's modulus and Energy
General
✓✗Two resistors R1 = (100 ± 3) Ω and R2 = (200 ± 4) Ω are connected in series. The equivalent resistance is
- (300 ± 1) Ω
- (300 ± 12) Ω
- (300 ± 7) Ω
- (300 ± 5) Ω
General
✓✗The dimensional formula of electric charge is
- [AT]
- [A−1T]
- [AT−1]
- [A]
General
✓✗The dimensional formula of specific heat capacity is
- [ML2T−2K]
- [L2T−1K−1]
- [ML2T−2K−1]
- [L2T−2K−1]
General
✓✗The number of significant figures in the result of 3.0 × 2.512 is
- 1
- 2
- 4
- 3
General
✓✗In an experiment, four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows: \( P = \dfrac{a^3 b^2}{cd} \). % error in P is
- 7%
- 4%
- 14%
- 10%
General
✓✗If C and R denote capacitance and resistance, the dimensional formula of CR is
- [M0L0T1]
- [M0L0T0]
- [M0L0T–1]
- not expressible in terms of MLT
General
✓✗A vernier callipers has 10 vernier divisions. When its jaws touch, the zero of the vernier is to the left of the zero of the main scale and the 5th vernier division coincides with a main scale division. If the least count is 0.01 cm, the zero error is
- +0.5 cm
- −0.5 cm
- +0.05 cm
- −0.05 cm
General
✓✗Assertion: Light year and wavelength both have the dimensions of length.
Reason: Both measure the distance travelled by light in one year.
Reason: Both measure the distance travelled by light in one year.
- Both Assertion and Reason are true and Reason is the correct explanation of Assertion
- Both Assertion and Reason are true but Reason is not the correct explanation of Assertion
- Assertion is true but Reason is false
- Both Assertion and Reason are false
General
✓✗The temperatures of two bodies are (20.0 ± 0.5) °C and (50.0 ± 0.5) °C. The temperature difference is
- (30.0 ± 1.0) °C
- (30.0 ± 0) °C
- (30.0 ± 0.25) °C
- (30.0 ± 0.5) °C
General
✓✗The value of 1 kilowatt-hour in joule is
- 3.6 × 103 J
- 3.6 × 105 J
- 3.6 × 106 J
- 1000 J