The physical quantity angular momentum has the same dimensions as

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31.

The physical quantity angular momentum has the same dimensions as that of

  • work

  • force

  • Planck's constant

  • torque


C.

Planck's constant

Angular momentum,

           [J] = [Iω] = [ML2T-1]

Planck's constant, h = Ev = ML2T-1


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32.

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 %


33.

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


34.

A physical quantity P is related to four measurable quantities a, b, c and d as follows

         P = a3b2cd

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 %


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35.

The dimensional formula of magnetic flux is

  • [M1L0T-2A-1]

  • [M1L2T-1A-1]

  • [M1L2T-2A-1]

  • [M1L2T0A-1]


36.

A physical quantity A is related to four observables a, b, c and d as follows

                 A = a2b3cd

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 %


37.

The dimensions of kinetic energy is

  • [M2L2T1]

  • [M1L2T1]

  • [M1L2T-2]

  • [M1L2T-1]


38.

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


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39.

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


40.

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]


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