The velocity of a freely falling body changes as gphq where g is acceleration due to gravity and h is the height. The values of p and q are 

(1) 1,12

(2) 12,12

(3) 12,1

(4) 1, 1

Subtopic:  Dimensions |
 86%
From NCERT
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 A small steel ball of radius \(r\) is allowed to fall under gravity through a column of a viscous liquid of coefficient of viscosity \(\eta\). After some time the velocity of the ball attains a constant value known as terminal velocity \(v_T\). The terminal velocity depends on \((\text{i})\) the mass of the ball \(m\) \((\text{ii})\) \(\eta\) \((\text{iii})\) \(r\) and \((\text{iv})\) acceleration due to gravity \(g\). Which of the following relations is dimensionally correct:
1. \(v_T \propto \frac{mg}{\eta r}\)
2. \(v_T \propto \frac{\eta r}{mg}\)
3. \(v_T \propto \eta rmg\)
4. \(v_T \propto \frac{mgr}{\eta }\)

Subtopic:  Dimensions |
 61%
From NCERT
PMT - 1992
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The quantity X=ε0LVt:ε0 is the permittivity of free space, is length, V is the potential difference and t is time. The dimensions of X are the same as that of  

(1) Resistance

(2) Charge

(3) Voltage

(4) Current

Subtopic:  Dimensions |
 57%
From NCERT
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The dimensions of physical quantity X in the equation Force =XDensity is given by 

(1) M1L4T2

(2) M2L2T1

(3) M2L2T2

(4) M1L2T1

Subtopic:  Dimensions |
 84%
From NCERT
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Two quantities A and B have different dimensions. Which mathematical operation given below is physically meaningful 

(1) A/B

(2) A + B

(3) AB

(4) None

Subtopic:  Dimensions |
 81%
From NCERT
PMT - 1997
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A force F is given by F = at + bt2, where t is time. What are the dimensions of a and b 

(1) MLT3 and ML2T4

(2) MLT3 and MLT4

(3) MLT1 and MLT0

(4) MLT4 and MLT1

Subtopic:  Dimensions |
 81%
From NCERT
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The decimal equivalent of 1/20 upto three significant figures is

(1) 0.0500

(2) 0.05000

(3) 0.0050

(4) 5.0 × 10-2

Subtopic:  Significant Figures |
 67%
From NCERT
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Accuracy of measurement is determined by

(1) Absolute error

(2) Percentage error

(3) Both

(4) None of these

Subtopic:  Significant Figures |
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The number of significant figures in all the given numbers 25.12, 2009, 4.156 and 1.217×104 is 

1. 1

2. 2

3. 3

4. 4

Subtopic:  Significant Figures |
 92%
From NCERT
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Assertion: Out of three measurements l = 0.7 m; l = 0.70 m and l = 0.700 m, the last one is most accurate.

Reason: In every measurement, only the last significant digit is not accurately known.

  1. If both the assertion and the reason are true and the reason is a correct explanation of the assertion
  2. If both the assertion and reason are true but the reason is not a correct explanation of the assertion
  3. If the assertion is true but the reason is false
  4. If both the assertion and reason are false
Subtopic:  Significant Figures |
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