If u1 and u2 are the units selected in two systems of measurement and n1 and n2 are their numerical values, then 

1. n1u1=n2u2

2. n1u1+n2u2=0

3. n1n2=u1u2

4. (n1+u1)=(n2+u2)

Subtopic:  Dimensions |
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The velocity v of a particle at time t is given by v=at+bt+c. The dimensions of a, b and c are respectively:

1.  LT-2, L, T

2.  L2, T and LT2

3.  LT2, LT and L

4.  L, LT and T2

Subtopic:  Dimensions |
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If the dimensions of a physical quantity are given by MaLbTc, then the physical quantity will be

1. pressure if a=1, b=-1, c=-2

2. velocity if a=1, b=0, c=-1

3. acceleration if a=1, b=1,c=-2

4. force if a=0, b=-1, c=-2

Subtopic:  Dimensions |
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Dimensions of electric current are:

1. [M0L0T1Q]

2. [ML2T1Q]

3. [M2LT1Q]

4. [M2L2T1Q]

Subtopic:  Dimensions |
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The position of a body with acceleration 'a' is given by x=Kamt (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 |
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The dimensional formula of pressure is:

1. MLT-2

2. ML-1T2

3. ML-1T-2

4. MLT2

Subtopic:  Dimensions |
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The dimensional formula for impulse is 

1. MLT2

2. MLT1

3. ML2T1

4. M2LT1

Subtopic:  Dimensions |
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In the relation y=acos(ωtkx), the dimensional formula for k will be

1. [M0L1T1]

2. [M0LT1]

3. [M0L1T0]

4. [M0LT]

Subtopic:  Dimensions |
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When units of mass, length and time are taken as 10 kg, 60 m and 60 s respectively, the new unit of energy becomes x times the initial SI unit of energy. The value of x will be

1. 10

2. 20

3. 60

4. 120

Subtopic:  Dimensions |
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If the units of force and length, each is increased by four times, then the unit of energy increases by:

1. 16 times

2. 8 times

3. 2 times

4. 4 times

Subtopic:  Dimensions |
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