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 |
 77%
From NCERT
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"Pascal-Second" has dimension of 

1. Force

2. Energy

3. Pressure

4. Coefficient of viscosity

Subtopic:  Dimensions |
 70%
From NCERT
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In a system of units if force (F), acceleration (A) and time (T) are taken as fundamental units then the dimensional formula of energy is 

1. FA2T

2. FAT2

3. F2AT

4. FAT

Subtopic:  Dimensions |
 79%
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The ratio of the dimension of Planck's constant and that of moment of inertia is the dimension of

1. Frequency

2. Velocity

3. Angular momentum

4. Time

Subtopic:  Dimensions |
 68%
From NCERT
PMT - 2005
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Which of the following group have different dimensions?

1. Potential difference, EMF, voltage

2. Pressure, stress, young's modulus

3. Heat, energy, work-done

4. Dipole moment, electric flux, electric field

Subtopic:  Dimensions |
 77%
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Out of the following four-dimensional quantities, which one quantity is to be called a dimensional constant?

1. Acceleration due to gravity

2. Surface tension of water

3. Weight of a standard kilogram mass

4. The velocity of light in a vacuum

Subtopic:  Dimensions |
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The density of a liquid in the CGS system is 0.625 g/cm3. What is its magnitude in the SI system?

1. 0.625

2. 0.0625

3. 0.00625

4. 625

Subtopic:  Dimensions |
 70%
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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 |
 51%
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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