In the relation y=acos(ωtkx), the dimensional formula for k is 

(1) [M0L1T1]

(2) [M0LT1]

(3) [M0L1T0]

(4) [M0LT]

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Position of a body with acceleration 'a' is given by x=Kamtn,here t is time. Find dimension of m and n

1. m = 1, n = 1

2. m = 1, n = 2

3. m = 2, n = 1

4. m = 2, n = 2

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"Pascal-Second" has dimension of 

(1) Force

(2) Energy

(3) Pressure

(4) Coefficient of viscosity

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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

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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

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Which of the following group have different dimension 

(1) Potential difference, EMF, voltage

(2) Pressure, stress, young's modulus

(3) Heat, energy, work-done

(4) Dipole moment, electric flux, electric field

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Out of 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 vacuum

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Density of a liquid in CGS system is 0.625 g/cm3. What is its magnitude in SI system 

(1) 0.625

(2) 0.0625

(3) 0.00625

(4) 625

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The period of oscillation of a simple pendulum is given by T=2πlg where l is about 100 cm and is known to have 1mm accuracy. The period is about 2s. The time of 100 oscillations is measured by a stop watch of least count 0.1 s. The percentage error in g is

(1) 0.1%

(2) 1%

(3) 0.2%

(4) 0.8%

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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%

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