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The dimensional formula for refractive index is

1) [M0L1T-1] 2) [M0L0T0] 3) [M0L1T1] 4) [MLT-1] Answer: 2) [M0L0T0] Refractive Index = speed of light in vacuum /... View Article

If the units of length and force are increased four times each, the unit of energy is increased

1) 4 times 2) 16 times 3) 8 times 4) no increase Answer: 2) 16 times Solution: Unit of energy = unit of force x unit of length... View Article

If T denotes the surface tension and R, the radius of a capillary tube, then the dimensions of T/R are the same as that of

1) pressure 2) energy 3) force 4) None of these Answer: 1) pressure Solution: T/R = MT-2/L = ML-1T-2 = pressure... View Article

The dimensions of intensity are

1) ML0T-3 2) M2L1T-2 3) ML2T-2 4) M2L2T-3 Answer: 1) ML0T-3 Solution: The intensity of a wave is defined as the energy transferred per... View Article

The dimensions of the pressure gradient are

1) ML-2T-2 2) ML2T-1 3) ML-1T-1 4) ML-1T-2 Answer: 1) ML-2T-2Solution: Pressure gradient = dp/dxp= force/Area=ML−1T−2... View Article

The dimensional formula of propagation vector (K) is

1) [M0LT-1] 2) [M0L-1T0] 3) [M1L-1T0] 4) [M-1L-1T0] Answer: 2) [M0L-1T0] Solution: Propagation vector K = 2π/λ = 1/L =... View Article

Fission of uranium by slow neutrons is used in

1) Rocket propulsion 2) Particle accelerator 3) Electric generator 4) Nuclear reactor Answer: 4) Nuclear reactor Solution: In a... View Article

Out of the following four-dimensional quantities, which one qualifies 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... View Article

What is the dimensional formula of thermal conductivity?

1) [MLT -1 θ -1 ] 2) [MLT -3 θ -1 ] 3) [M 2LT -3 θ -2 ] 4) [ML 2T -2 θ] Answer: 2) [MLT -3 θ -1 ] Solution: ΔQ=KA(T1−T2L)Δt [ K ] =... View Article

Which of the following sets of quantities have same dimensional formula?

1) Frequency, angular frequency and angular momentum 2) Surface tension, stress and spring constant 3) Acceleration, momentum and retardation... View Article

The statement p → (q → p) is equivalent to

1) p → (p ˅ q) 2) p → (p ˄ q) 3) p → (p ↔ q) 4) p → (p → q) Solution: (1) p → (p ˅ q)... View Article

The frequency f of vibration of mass m suspended from a spring of spring constant k is given by f = cm^x k^y where c is a dimensionless constant. The values of x and y are respectively

1) 1/2, 1/2 2) –1/2, 1/2 3) 1/2, –1/2 4) –1/2, –1/2 Answer: 2) –1/2, 1/2 Solution: by putting the... View Article

If voltage V = (100 ± 5 ) V and current I = ( 10 ± 0.2 ) A, the percentage error in resistance R is

1) 5.2% 2) 25% 3) 7% 4) 10% Answer: 3) 7% Solution: Resistance is the ratio of voltage used and the current flowing through the... View Article

If C is capacitance and q is charge, then the dimension of q² /C is same as that of

1) work 2) angular momentum 3) force 4) torque and energy Answer: 1) work Solution: Energy = (1/2)CV2 = Q2/2C = Work... View Article

Position of a body with acceleration a is given by x = ka^m tⁿ . Here, t is time. Find the values of m and n

1) m = 1, n = 1 2) m = 1, n = 2 3) m =2, n = 1 4) m = 2, n = 2 Answer: 2) m = 1, n = 2 Solution: Given x=Kam×tn... View Article

Which of the following sets have different dimensions?

1) Pressure, young's modulus, stress 2) Emf, potential difference, electric potential 3) Heat, work done, energy 4) Dipole moment, electric... View Article

Find the dimensions of electric permittivity

1) [A2 M -1 L -3 T4] 2) [A2 M -1 L -3 T0] 3) [A M -1 L -3 T4] 4) [A2 M 0 L -3 T4] Answer: 1) [A2 M -1 L -3 T4] Solution:... View Article

If C, R, L and I denote capacity, resistance, inductance and electric current respectively, the quantities having the same dimensions of time are

(I) = CR (II) = L/R (III) = √LC (IV) = LI2 1) (I) and (II) 2) (I) and (III) 3) (I) and (IV) 4) (I), (II) and (III) Answer: 4) (I), (II)... View Article

Which of the following is dimensionless?

1) v2/rg 2) v2g/r 3) vg/r 4) v2rg Answer: 1) v2/rg Solution:... View Article

In a new system of units called star units, 1 kg* =10 kg, 1 m* =1 km and ls* =1min, what will be the value of 1 J in the new system?

1) 2.4 × 10-5 J* 2) 3.6 × 10-4 J* 3) 4.2 × 10-3 J* 4) 4.2 × 10-2 J* Answer: 2) 3.6 × 10-4 J* Solution: Joule... View Article

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