Q: If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

(a) [M^{0}L^{0}T]

(b) [M^{0}L^{0}T^{0}]

(c) [M^{0}L^{0}T^{-1}]

(d) Not expressible in terms of [MLT]

Ans: (a)

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# Tag: Physical World & Measurement

## If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is…

## Dimensional formula of self-inductance is …

## If x = at + bt^2, where x is the distance travelled by the body in kilometer…

## According to Newton, the viscous force acting between liquid layers of area A and velocity gradient…

## The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by..

Q: If C and R denote capacitance and resistance respectively, then the dimensional formula of CR is

(a) [M^{0}L^{0}T]

(b) [M^{0}L^{0}T^{0}]

(c) [M^{0}L^{0}T^{-1}]

(d) Not expressible in terms of [MLT]

Ans: (a)

Q: Dimensional formula of self-inductance is

(a) [MLT^{–2}A^{–2}]

(b) [ML^{2}T^{–1}A^{–2}]

(c) [ML^{2}T^{–2}A^{–2}]

(d) [ML^{2}T^{–2}A^{–1}]

Ans:(c)

Q: If x = at + bt^{2}, where x is the distance travelled by the body in kilometer while t is the time in second, then the unit of b is

(a) km/s

(b) km-s

(c) km/s^{2}

(d) km-s^{2}

Ans: (c)

Q: According to Newton, the viscous force acting between liquid layers of area A and velocity gradient Δv/Δz is given by F = –ηA dv/dz, where η is constant called coefficient of viscosity. The dimensional formula of η is

(a) [ML^{–2}T^{–2}]

(b) [M^{0}L^{0}T^{0}]

(c) [ML^{2}T^{–2}]

(d) [ML^{–1}T^{–1}]

Ans: (d)

Q: The frequency of vibration f of a mass m suspended from a spring of spring constant k is given by a relation of the type f = C m^{x} k^{y}, where C is a dimensionless constant. The values of x and y are

(a) x = 1/2, y = 1/2

(b) x = -1/2, y = -1/2

(c) x = 1/2, y = -1/2

(d) x = -1/2, y = 1/2

Ans: (d)