Dimensional formula for the universal gravitational constant G is
[M-1L2T-2]
[M0L0T0]
[M-1L3T-2]
[M-1L3T-1]
C.
[M-1L3T-2]
The number of significant figures in the numbers 4.8000 x 104 and 48000.50 are respectively
5 and 6
5 and 7
2 and 7
2 and 6
The dimensions of resistance are same as those of where h is the Planck's constant, e is the charge.
If C be the capacitance and V be the electric potential, then the dimensional formula of CV2 is
[ML2T-2A0]
[MLT-2A-1]
[M0LT-2A0]
[ML-3TA]
The dimensional formula of physical quantity is is [MaLbTc]. Then, that physical quantity is
Spring constant if a = 1, b = −1, c = −2
surface tension if a= 1, b = 1,c = −2
force if a = 1, b = 1, c = 2
angular frequency if a = 0, b = 0, c = − 1
Which one of the following is not correct ?
Dimensional formula of thermal conductivity (K) is M1L1T-3K-1
Dimensional formula of potential (V) is M1L2T3A-1
Dimensional formula of permeability of free space (μ0) is M1L1T-2A-2
Dimensional formula of RC M0L0T-1
A physical quantity Q is found to depend on observables x, y and z obeying relation . The percentage error in the measurements of x, y and z are 1 %, 2 % and 4 % respectively. What is percentage error in the quantity Q ?
4 %
3 %
11 %
1 %
The ratio of the dimensions of Planck's constant and that of moment of inertia has the dimensions of
angular momentum
time
velocity
frequency
A substance of mass 49.53 g occupies 1.5 cm3 of volume. The density of the substance (in g cm-3) with correct number of significant figures is
3.3
3300
3302
33.0
A body of the mass 50 kg is suspended using a spring balance inside a lift at rest. If the lift starts falling freely, the reading of the spring balance is
< 50 kg
= 50 kg
> 50 kg
= 0