Question 1 : Suppose the kinetic energy of a body oscillating with amplitude {tex}A{/tex} and at a distance {tex}\mathrm x {/tex} is given by {tex} K = \frac { B x } { x ^ { 2 } + A ^ { 2 } } {/tex} The dimensions of {tex} B {/tex} are the same as that of

Question 3 : The heat generated in a circuit is given by {tex} Q = I ^ { 2 }Rt {/tex} , where {tex} \mathrm I {/tex} is current, {tex} R {/tex} is resistance and {tex} \mathrm t {/tex} is time. If the percentage errors in measuring {tex}I, R {/tex} and t are {tex} 2 \% , 1 \% {/tex} and {tex} 1 \% {/tex} respectively, then the maximum error in measuring heat will be

Question 6 : In the eqn. {tex} \left( \mathrm { P } + \frac { \mathrm { a } } { \mathrm { V } ^ { 2 } } \right) ( \mathrm { V } - \mathrm { b } ) = {/tex} constant, the unit of {tex}\mathrm{a}{/tex} is

Question 7 : An object is moving through the liquid. The viscous damping force acting on it is proportional to the velocity. Then dimensions of constant of proportionality are

Question 9 : Which of the following statements is/are correct?<br>I. Change of units does not change the number of significant digits. <br>II. All the non-zero digits are significant. <br>III. All the zero between two non-zero digits are significant.<br>

Question 10 : The respective number of significant figures for the number {tex} 23.023,0.0003 {/tex} and {tex} 2.1 \times 10 ^ { - 3 } {/tex} are respectively.