The physical quantity angular momentum has the same dimensions as that of
work
force
Planck's constant
torque
The values of two resistors are R1 = (6 ± 0.3)kΩ and R2 = (10 ± 0.2)kΩ. The percentage error in the equivalent resistance when they are connected in parallel is
5.125 %
2 %
10.125 %
7 %
Which of the following sets of quantities have same dimensional formula ?
Frequency, angular frequency and angular momentum
Surface tension, stress and spring constant
Work, energy and torque
Thermal capacity, specific heat and entropy
C.
Work, energy and torque
The dimensional formula of
Work = Energy = Torque = [ML2T-2]
A physical quantity P is related to four measurable quantities a, b, c and d as follows
The percentage errors of measurement in a, b, c and d are 1 %, 3% ,4% and 2%. The percentage error in the quantity P is
10 %
13 %
5 %
15 %
A physical quantity A is related to four observables a, b, c and d as follows
The percentage errors of measurement in a, b, c and d are 1 %, 3%, 2% and 2% respectively. What is the percentage error in the quantity A ?
12 %
7 %
14 %
16 %
In an experiment to measure the height of a bridge by dropping stone into water underneath if the error in measurement of time is 0.1 s at the end of 2 s, then the error in estimation of height of bridge will be
0.49 m
0.98 m
1.37 m
1.96 m
If the figure below represents a parabola, identify the physical quantities representing Y and X for constant acceleration
X = time, Y = velocity
X = velocity, Y = time
X = time, Y = displacement
X = time, Y = acceleration
If the velocity of light c, gravitational constant G and Planck's constant h are chosen as fundamental units, the dimensions of length L in the new system is
[h1c1G-1]
[h1/2c1/2G-1/2]
[h1c-3G1]
[h1/2c-3/2G1/2]