For ${10}^{(at+3)},$ the dimension of $a$ is -

Important Questions on Physical World and Measurement

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 64

If velocity $\left(V\right),$ time $\left(T\right)$ and force $\left(F\right)$ were chosen as fundamental quantities, the dimensions of mass will be-

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 65

If pressure $P,$velocity $V$ and time $T$ are taken as fundamental physical quantities, the dimensional formula of the force is-

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 66

A particle of masss $m$ is suspended by a spring if the frequency of its oscillation is $n=c{m}^x{k}^y$ here $c$ is a constant then the value of $x$ and $y$ are -

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 67

The velocity of a freely falling body changes as $g^{\mathrm{p}}{h}^{\mathrm{q}}$, where $g$ is the acceleration due to gravity and $h$ is the height. The values of $p$ and $q$ are

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 68

In the formula $V=E^b{d}^a,$ if $V ; E$ and $d$ are the velocity of longitudinal waves, bulk modulus of elasticity and density of the gaseous medium respectively, then the values of a and $b$ are respectively -

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 69

If force $\left(F\right)$ area $\left(A\right)$ and density $\left(D\right)$ are taken as the fundamental units, the dimensional representation of the Young modulus will be

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 70

A spherical body of mass $m$ and radius $r$ is allowed to fall in a medium of coefficient of viscosity$\eta .$ The time in which its velocity rises to $0.63$ times the critical velocity $v$ is known as $\tau$. $\tau$ is dimensionally represented by

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Alpha Question Bank for Medical: Physics>Chapter 3 - Physical World and Measurement>Exercise-1>Q 71

The dimensional formula of coefficient of viscosity is