The mass and volume of a body are found to be 5.00 ± 0.05 kg and 1.00 ± 0.05 m 3 respectively. Then the maximum possible percentage error in its density is
6 %
3 %
10 %
5 %
If F denotes force and t time, then in the equation F = at-1 + bt2, the dimensions of a and b respectively are
[LT-4] and [LT-1]
[LT-1] and [LT-4]
[MLT-4] and [MLT-1]
[MLT] and [MLT-4]
A ball dropped from a height of 2 m rebounds to a height of 1.5 m after hitting the ground. Then the percentage of energy lost is
25
30
50
100
A.
25
Percentage energy loss
The quantities RC and (where R, L and C stand for resistance, inductance and capacitance respectively) have the dimensions of
force
linear momentum
linear acceleration
time
The percentage errors in the measurement of length and time period of a simple pendulum are 1% and 2% respectively. Then the maximum error in the measurement of acceleration due to gravity is
8 %
3 %
5 %
6 %
If C is the capacitance and V is the potential, the dimensional formula for CV2 is
[ML2T-1]
[ML-2T-3]
[ML2T-2]
[ML-2T-2]
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 %