The dimensions of shear modulus are

1. MLT–1

2. ML2T2

3. ML1T2

4. MLT2

Subtopic:  Dimensions |
 80%
From NCERT
PMT - 2004
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Pressure gradient has the same dimensions as that of:

1. Velocity gradient

2. Potential gradient

3. Energy gradient

4. None of these

Subtopic:  Dimensions |
 58%
From NCERT
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If force (F), length (L) and time (T) are assumed to be fundamental units, then the dimensional formula of the mass will be

1. FL1T2

2. FL1T2

3. FL1T1

4. FL2T2

Subtopic:  Dimensions |
 75%
From NCERT
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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 |
 79%
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 |
 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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