A body is moving at a speed near 0.3 ms-1. To measure its speed with an accuracy about 1%, using a sampling distance 3 mm, the measuring clock should have a least count of the order of
0.1 s
0.01 s
0.001 s
0.0001 s
The dimensions of in the equation where, p is pressure, x is distance and and t is time, are
[M2LT-3]
[MT-2]
[LT-3]
[ML3T-1]
The physical quantity having the same dimensions as Planck's constant h is
linear momentum
angular momentum
Boltzmann constant
force
B.
angular momentum
Dimensions of Planck's constant h
= [ML2T-1]
Dimensions of linear momentum
= [MLT-1]
Dimensions of angular momentum
= [ML2T-1]
Dimensions of Boltzmann constant
= [ML2T-2θ-1]
Dimensions of force
= [MLT-2]
Hence, it is obvious that dimensions of Planck's constant is same as that of angular momentum.
Out of the following four dimensional quantities, which one qualifies to be called a dimensional constant ?
Acceleration due to gravity
Surface tension of water
Weight of a standard kilogram mass
The velocity of light in vacuum
The physical quantity having the dimensions [M-1L-3T3A2] is
resistance
resistivity
electrical conductivity
electromotive force
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