General
✓✗The dimensional formula of moment of inertia is
- [ML2T−1]
- [ML2]
- [ML2T−2]
- [ML]
General
✓✗The dimensional formula of Young's modulus is the same as that of
- force
- pressure
- work
- momentum
General
✓✗The dimensional formula of electric charge is
- [AT]
- [A−1T]
- [AT−1]
- [A]
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
✓✗If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities, find the dimensions of energy.
- [F][A−1][T]
- [F][A][T]
- [F][A][T−1]
- [F][A][T2]
General
✓✗The dimensions [MLT−2A−2] belong to the
- self inductance
- magnetic permeability
- electric permittivity
- magnetic flux
General
✓✗In the equation \( y = A\sin\left(\dfrac{2\pi t}{T}\right) \), where y is displacement and t is time, the dimensions of T are
- [T−1]
- [L]
- [T]
- [LT−1]
General
✓✗The unit of thermal conductivity is
- W m–1 K–1
- J m K–1
- J m–1 K–1
- W m K–1
General
✓✗The dimensional formula of angular momentum is
- [ML2T–2]
- [ML–2T–1]
- [MLT–1]
- [ML2T–1]
General
✓✗Which of the following is a dimensional variable?
- Refractive index
- Strain
- Velocity
- Relative density
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
✓✗If x = a + bt + ct2, where x is in metres and t in seconds, the unit of c is
- m s−1
- m s
- m s2
- m s−2
General
✓✗1 fermi is equal to
- 10−10 m
- 10−18 m
- 10−15 m
- 10−12 m
General
✓✗The SI unit of pressure is
- joule
- watt
- newton
- pascal
General
✓✗1 joule is equal to
- 10−7 erg
- 105 erg
- 103 erg
- 107 erg