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 2 :
When we hold a book in our hand, we are balancing the gravitational force on the book due to

Question 3 :
Which of the following quantities has not been expressed in proper unit?

Question 4 :
Given that {tex} y = A \sin \left[ \left( \frac { 2 \pi } { \lambda } ( c t - x ) \right) \right] {/tex} , where {tex} y {/tex} and {tex} x {/tex} are measured in metre. Which of the following statements is true?

Question 5 :
If {tex} x = a - b , {/tex} then the maximum percentage error in the measurement of {tex} x {/tex} will be

Question 6 :
If {tex}\mathrm L{/tex} denotes the inductance of an inductor through which a current {tex}i{/tex} is flowing, the dimensions of {tex}\mathrm {Li^2}{/tex} are

Question 7 :
{tex} \begin{array} { l l } { }{ \text { Column } \mathrm { I } } & { \text { Column } \mathrm { II } } \\ { \text { (A) Distance between earth and stars } } & { \text { (1) } \text { micron } } \\ { \text { (B) Inter-atomic distance in a solid } } & { \text { (2) angstrom } } \\ { \text { (C) Size of the nucleus } } & { \text { (3) } \mathrm { light\ year }} \\ { \text { (D)Wavelength of infrared laser } } & { \text { (4) fermi } }&\\&{ \text { (5) kilometre } } \end{array} {/tex}<br>

Question 8 :
Mass of a body is {tex} 210 \mathrm { gm } {/tex} and its density is {tex} 7.981 \mathrm { g } / \mathrm { cm } ^ { 3 } {/tex} what will be its volume, with regard to significant digits?

Question 9 :
Match the Column I and Column II.<br> {tex} \begin{array} {| l| l| }\hline{ \text { Column I } } & { \text { Column II } } \\ \hline{ \text { (A) J C Maxwell } } & { \text { (1) Verified experimentally the prediction of electromagnetic force } } \\ \hline { \text { (B) Cario Rubia } } & { \text { (2) Unified electricity, magnetism and optics, showed that light is an EM waves} } \\ \hline { \text { (C) Isaac Newton } }& { \text { (3) Unified celestial and terrestrial mechanics} } \\ \hline{ \text { (D) Michael Faraday } } & { \text { (4) Showed that electric and magnetic phenomenon i.e., electromagnetism } }\\ \hline \end{array} {/tex}

Question 10 :
An atomic clock has an accuracy of {tex} 1 {/tex} part is {tex} 10 ^ { 10 } {/tex}. If two such clocks are operated with precision, then after running for {tex} 2500 {/tex} years these will record a difference of nearly.

Question 11 :
Surface tension of a liquid is {tex} 70 \mathrm {\ dyne } / \mathrm { cm } {/tex}. Its value in SI is

Question 12 :
Which of the following is the correct decreasing order of the strengths of four fundamental forces of nature?