The velocity of a particle v at an instant t is given by v = at +

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 Multiple Choice QuestionsMultiple Choice Questions

101.

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 %

  • 5 %

  • 14 %


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102.

The velocity of a particle v at an instant t is given by v = at + bt2  the dimension of b is 

  • [L]

  • [LT-1]

  • [LT-2]

  • [LT-3]


D.

[LT-3]

Given, that v = at + bt2

Applying the law of homogeneity [v] = [bt2] or

[LT-1] = [bT2] or [b] = [LT-3]


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103.

The dimension of angular momentum is

  • [M0L1T-1]

  • [M1L2T-2]

  • [M1L2T1]

  • [M2L1T-2]


104.

In a slide caliper, (m + 1) number of vernier divisions is equal to m number of smallest main scale divisions. If d unit is the magnitude of the smallest main scale division, then the magnitude of the vernier constant is

  • d / (m + 1) unit

  • d / m unit

  • md / (m + 1) unit

  • (m + 1)d / m unit


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105.

In an experiment four quantities a, b, c and d are measured with percentage error 1%, 2%, 3% and 4% respectively. Quantity P is calculated as follows

P = a3b2cd %, Error in P is 

  • 14 %

  • 10 %

  • 7 %

  • 4 %


106.

In which of the following pairs, the two physical quantities have different dimensions ?

  • Planck's constant and angular momentum

  • Impulse and linear momentum

  • Moment of inertia and moment of a force

  • Energy and torque


107.

If n denotes a positive integer, h the Planck's constant, q the charge and B the magnetic field, then the quantity nh2πqB has the dimension of

  • area

  • length

  • speed

  • acceleration


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