The quantities RC and LR (where R, L and C stand for resista

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 Multiple Choice QuestionsMultiple Choice Questions

21.

The percentage error in measuring M, L and T are 1 %, 1.5% and 3% respectively. Then the percentage error in measuring the physical quantity with dimensions [ML-1 T-1] is

  • 1 %

  • 3.5 %

  • 5.5 %

  • 4.5 %


22.

The displacement of a particle moving along x-axis with respect to time t is x = at + bt2 − ct3. The dimensions of c are

  • [T-3]

  • [LT-2]

  • [LT-3]

  • [LT3]


23.

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 %


24.

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]


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25.

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


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26.

The quantities RC and LR (where R, L and C stand for resistance, inductance and capacitance respectively) have the dimensions of

  • force

  • linear momentum

  • linear acceleration

  • time


D.

time

In electrical circuits dimensions of LR, RC, LC have the dimensions of time.


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27.

The number of significant figures in 0.002305 is

  • 6

  • 4

  • 7

  • 2


28.

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 %


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29.

Dimensional formula of Stefan's constant is

  • [MT-3K-4]

  • [MLT-2K-4]

  • [ML2T-2]

  • [MT-2L0]


30.

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]


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