Dimensions of electric current are:
1. \(\left[M^0L^0T^{-1}Q\right]\)
2. \(\left[M^1L^2T^{-1}Q\right]\)
3. \(\left[M^2L^1T^{-1}Q\right]\)
4. \(\left[M^2L^2T^{-1}Q\right]\)

Subtopic:  Dimensions |
 82%
From NCERT
PMT - 2000
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In the relation, \(y=a \cos (\omega t-k x)\), the dimensional formula for \(k\) will be:
1. \( {\left[M^0 L^{-1} T^{-1}\right]} \)
2. \({\left[M^0 L T^{-1}\right]} \)
3. \( {\left[M^0 L^{-1} T^0\right]} \)
4. \({\left[M^0 L T\right]}\)

Subtopic:  Dimensions |
 78%
From NCERT
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The position of a body with acceleration \(a\) is given by \(x= Ka^{m}t^{n}\) (assume \(t\) to be time). The values of \(m\) and \(n\) will be:
1. \(m=1,~n=1\)
2. \(m=1,~n=2\)
3. \(m=2,~n=1\)
4. \(m=2,~n=2\)

Subtopic:  Dimensions |
 76%
From NCERT
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The period of oscillation of a simple pendulum is given by \(T = 2\pi \sqrt{\frac{l}{g}}\) where \(l\) is about \(100~\text{cm}\) and is known to have \(1~\text{mm}\) accuracy. The period is about \(2~\text{s}\). The time of \(100\) oscillations is measured by a stopwatch of least count \(0.1~\text{s}\). The percentage error in \(g\) is:
1. \(0.1\%\)
2. \(1\%\)
3. \(0.2\%\)
4. \(0.8\%\)

Subtopic:  Errors |
 50%
From NCERT
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The percentage errors in the measurement of mass and speed are \(2\%\) and \(3\%\) respectively. How much will be the maximum error in the estimation of the kinetic energy obtained by measuring mass and speed:
1. \(11\%\)
2. \(8\%\)
3. \(5\%\)
4. \(1\%\)

Subtopic:  Errors |
 85%
From NCERT
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What is the number of significant figures in \(0.310\times 10^{3}?\)
1. \(2\)
2. \(3\)
3. \(4\)
4. \(6\)

Subtopic:  Significant Figures |
 78%
From NCERT
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The decimal equivalent of \(\frac{1}{20} \) up to three significant figures is:

1. \(0.0500\) 2. \(0.05000\)
3. \(0.0050\) 4. \(5.0 \times 10^{-2}\)
Subtopic:  Significant Figures |
 68%
From NCERT
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The periods of oscillation of a simple pendulum in an experiment are recorded as 2.63 s, 2.56 s, 2.42 s, 2.71 s, and 2.80 s respectively. The average absolute error will be:

1. 0.1 s

2. 0.11 s

3. 0.01 s

4. 1.0 s

Subtopic:  Errors |
 61%
From NCERT
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The length of a cylinder is measured with a meter rod having the least count of \(0.1~\text{cm}\). Its diameter is measured with vernier callipers having the least count of \(0.01~\text{cm}\). Given that the length is \(5.0~\text{cm}\) and the radius is \(2.0~\text{cm}\). The percentage error in the calculated value of the volume will be:
1. \(1\%\)
2. \(2\%\)
3. \(3\%\)
4. \(4\%\)

Subtopic:  Errors |
 62%
From NCERT
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In an experiment, the following observations were recorded: initial length \(L =2.820~\text{m}\), mass \(M = 3.00~\text{kg}\), change in length \(l = 0.087~\text{cm}\), diameter \(D = 0.041~\text{cm}\). Taking \(g = 9.81~\text{m/s}^2\) and using the formula, \(Y = \frac{4MgL}{\pi D^2l},\) the maximum permissible error in \(Y \) will be:
1. \(7.96\%\)
2. \(4.56\%\)
3. \(6.50\%\)
4. \(8.42\%\)

Subtopic:  Errors |
From NCERT
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