General
✓✗The SI unit of pressure is
- joule
- watt
- newton
- pascal
General
✓✗Which of the following is a dimensional variable?
- Refractive index
- Strain
- Velocity
- Relative density
General
✓✗The sum of 2.5 cm, 3.42 cm and 1.068 cm, rounded according to significant figures, is
- 7.0 cm
- 6.988 cm
- 6.99 cm
- 7 cm
General
✓✗If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the sphere will be
- 8%
- 2%
- 4%
- 6%
General
✓✗If v = A + Bt + Ct2, where v is velocity and t is time, the dimensions of C are
- [L]
- [LT−3]
- [LT−1]
- [LT−2]
General
✓✗The dimensional formula of frequency is the same as that of
- time period
- angular velocity
- acceleration
- velocity
General
✓✗The frequency n of vibration of a stretched string depends on its length l, tension T and mass per unit length μ. Using dimensional analysis, n ∝
- \( \dfrac{\sqrt{T\mu}}{l} \)
- \( \dfrac{1}{l}\sqrt{\dfrac{\mu}{T}} \)
- \( \dfrac{1}{l}\sqrt{\dfrac{T}{\mu}} \)
- \( l\sqrt{\dfrac{T}{\mu}} \)
General
✓✗The dimensions of the universal gravitational constant are
- [M−2L2T−1]
- [M−2L3T−2]
- [M−1L3T−2]
- [ML2T−1]
General
✓✗The dimensional formula of power is
- [MLT−3]
- [ML2T−2]
- [ML2T−1]
- [ML2T−3]
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
✓✗The dimensional formula of permeability of free space μ0 is
- [MLT−2A−2]
- [M0LT]
- [M0L2T−1A2]
- none of these
General
✓✗In the relation \( s = ut + \dfrac{1}{2}at^2 \), the dimensions of the constant \( \dfrac{1}{2} \) are
- [LT−1]
- [T]
- [LT−2]
- dimensionless
General
✓✗Which of the following pairs does NOT have the same dimensions?
- Momentum and impulse
- Power and energy
- Work and torque
- Stress and pressure
General
✓✗If Z = A − B, the maximum absolute error in Z is
- \( \Delta A - \Delta B \)
- \( |\Delta A - \Delta B| \)
- \( \dfrac{\Delta A + \Delta B}{2} \)
- \( \Delta A + \Delta B \)
General
✓✗Dimensions of stress are
- [MLT−2]
- [ML−1T−2]
- [ML0T−2]
- [ML2T−2]