A plate has a length 5 ± 0.1 cm and breadth 2 ± 0.01 cm. Then the area of the plate is
10 ± 0.1 cm2
10 ± 0.01 cm2
10 ± 0.001 cm2
10 ± 1 cm2
If M = Mass, L = Length, T = Time and I = Electric current, then the dimensional formula for electrical resistance R is given by
[R] = [M1L2T-3I-2]
[R] = [M1L2T-3I2]
[R] = [M1L2T3I-2]
[R] = [M1L2T3I2]
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