CBSE Questions for Class 11 Engineering Physics Units And Measurement Quiz 16 - MCQExams.com

Dimensional formula of the product of the physical quantity P and Q is $$\left[ { M }^{ 1}{ L }^{ 2 }{ T }^{ -2 } \right] $$ and the dimensional formula of $$\dfrac { P }{ Q } $$ is $$\left[ { M }^{ 1 }{ L }^{ 0 }{ T }^{ -2 } \right] $$ then
  • 'P' represents work
  • 'Q' represent velocity
  • 'P' represents force
  • 'Q' represents displacement
If the speed of light (c) , acceleration due to gravity (g) and pressure (p) are taken as the fundamental quantities , then the dimensions of length will be
  • $$ c^2g^{-1}p^0 $$
  • $$ cg^0p^{-1} $$
  • $$ c^{-1}gp^0 $$
  • $$ cg^{-1}p^0 $$
Characteristics of Scientific observation are.
  • Accuracy
  • Precision and objectivity
  • Systematic and recorded
  • All of the above
The distance covered by a particle in time $$t$$ is given by$$ x = a + bt + ct^2 + dt^3$$. The dimensions of $$a$$ and $$d$$ are - 
  • $$L,T^{-3}$$
  • $$L,LT^{-3}$$
  • $$L,T^{3}$$
  • None of these.
If area $$(A)$$, velocity $$(v)$$ and density $$(\rho)$$ are base units, then the dimensional formula of force can be represented
  • $$ \left [ Av\rho \right ] $$
  • $$ \left [ Av^{2}\rho \right ] $$
  • $$ \left [ Av\rho^{2} \right ] $$
  • $$ \left [ A^{2}v\rho \right ] $$
The mass of a bag is $$1.6kg$$. Two objects of mass $$20\,gm$$ and $$15\,gm$$ meausred to an accuracy of $$1gm$$ are added to it. The total mass of the bag calculated to the correct number of significant figures is 
  • $$1.64\,kg$$
  • $$1.635\,kg$$
  • $$1.6\,kg$$
  • $$1.95\,kg$$
Suppose a quantity x can be dimensionally represented in terms of M, L and $$T$$ that is, $$[x]=M^aL^bT^c$$. The quantity mass.
  • Can always be dimensionally represented in terms of L, T and x
  • Can never be dimensionally represented in terms of L, T and x
  • May be represented in terms of L, T and x if $$a=0$$
  • May be represented in terms of L, T and x if $$a\neq 0$$
Using mass (M), length (L), time(T) and current (A) as fundamental quantities,the dimension of permeability is
  • $$ [M^{-1} LT^{-2} A] $$
  • $$ [M^{-2} LT^{-2} A^{-1}] $$
  • $$ [MLT^{-2} A^{-2} ] $$
  • $$ [MLT^{-1} A^{-1} ] $$
Taking density $$(\rho)$$, velocity $$(v)$$ and area $$(a)$$ to be fundamental unit then the dimensions of force are:
  • $$[av^2\rho]$$
  • $$[a^2v\rho]$$
  • $$[av\rho^2]$$
  • $$[a^0v\rho]$$
A body of mass $$m_{1}$$, moving with uniform velocity of $$40\ m/s$$ collides with another mass $$m_{2}$$ at rest and then the two together begin to move in a uniform velocity of $$30\ m/s$$. The ratio of their masses $$(m_{1}/m_{2})$$ is
  • $$0.75$$
  • $$1.33$$
  • $$3.0$$
  • $$4.0$$
Which of the following pairs of physical quantities does not have same dimensional formula?
  • Work and torque
  • Angular momentum and Plancks constant
  • Tension and surface tension
  • Impulse and linear momentum
Two forces $$P$$ and $$Q$$ act at a point and have resultant $$R$$. If $$Q$$ is replaced by $$\dfrac{\left ( R^{2}-P^{2} \right )}{Q} $$ acting in the direction opposite to that of $$Q$$, the resultant:
  • remains same
  • becomes half
  • becomes twice
  • none of these
The work done by a gas molecule in an isolated system is given by, $$\displaystyle W = \alpha \beta^{2} e^{-\frac{x^{2}}{\alpha kT}}$$, where $$x$$ is the displacement, $$k$$ is the Boltzmann constant and $$T$$ is the temperature, $$\alpha$$ and $$\beta$$ are constants. Then the dimension of $$\beta$$ will be:
  • $$[ML^{2} T^{-2}]$$
  • $$[MLT^{-2}] $$
  • $$[M^{2} LT^{-2}] $$
  • $$[M^{0}L T^{0}] $$
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