Dimensional formula for the universal gravitational constant G is
[M-1L2T-2]
[M0L0T0]
[M-1L3T-2]
[M-1L3T-1]
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
D.
frequency
We know that, energy of an emtted particle
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