Question 1 :
If {tex}\mathrm L = 2.331 \mathrm { cm } ,\mathrm B = 2.1 \mathrm { cm } , {/tex} then {tex} \mathrm { L } + \mathrm { B } = {/tex}

Question 2 :
The division of energy by time is {tex} \mathrm { X } {/tex}. The dimensional formula of {tex} \mathrm { X } {/tex} is same as that of

Question 4 :
A thin copper wire of length {tex} l {/tex} metre increases in length by {tex} 2 \% {/tex} when heated through {tex} 10 ^ { \circ } \mathrm { C } {/tex}. What is the percentage increase in area when a square copper sheet of length Imetre is heated through {tex} 10 ^ { \circ } \mathrm { C } {/tex} ?

Question 6 :
Number of significant figures in expression {tex} \frac { 4.327 \mathrm { g } } { 2.51 \mathrm { cm } ^ { 3 } } {/tex} is

Question 7 :
In equation, {tex} \mathrm { r } = \mathrm { m } ^ { 2 } \sin \pi \mathrm { t } , {/tex} where t represents time. If the unit of {tex} \mathrm { m } {/tex} is {tex} \mathrm { N } {/tex}, then the unit of {tex} \mathrm { r } {/tex} is

Question 8 :
The smallest value that can be measured by the measuring instrument is called

Question 9 :
If {tex} Z = A ^ { 3 } , {/tex} then {tex} \frac { \Delta Z } { Z } = {/tex}

Question 10 :
If the error in the measurement of the volume of sphere is {tex} 6 \% , {/tex} then the error in the measurement of its surface area will be

Question 11 :
Two Indian born physicists who have been awarded Nobel Prize in Physics are

Question 12 :
The resistance {tex} R {/tex} of a wire is given by the relation {tex} R = \frac { \rho \ell } { \pi r ^ { 2 } } . {/tex} Percentage error in the measurement of {tex} \rho , \ell {/tex} and {tex} r {/tex} is {tex} 1 \% , 2 \% {/tex} and {tex} 3 \% {/tex} respectively. Then the percentage error in the measurement of {tex} R {/tex} is

Question 14 :
When two quantities are divided, the relative error in the result is given by

Question 15 :
Which one of the following represents the correct dimensions of the gravitational constant?

Question 16 :
A physical quantity {tex} \zeta {/tex} is calulated using the formula {tex} \zeta = \frac { 1 } { 10 } x y ^ { 2 } / z ^ { 1 / 3 } , {/tex} where {tex} x , y {/tex} and {tex} z {/tex} are experimentally measured quantities. If the fractional error in the measurement of {tex} x , y {/tex} and {tex} z {/tex} are {tex} 2 \% , 1 \% {/tex} and {tex} 3 \% {/tex} respectively, then the fractional error in {tex} \zeta {/tex} will be<br>

Question 17 :
The least count of a stop watch is 0.2 second. The time of 20 oscillations of a pendulum is measured to be 25 second. The percentage error in the measurement of time will be

Question 18 :
{tex}\mathrm{Assertion} :{/tex} When we change the unit of measurement of a quantity, its numerical value changes.<br>{tex}\mathrm{Reason} :{/tex} Smaller the unit of measurement smaller is its numerical value.

Question 19 :
In a simple pendulum experiment, the maximum percentage error in the measurement of length is {tex} 2 \% {/tex} and that in the observation of the time-period is {tex} 3 \% . {/tex} Then the maximum percentage error in determination of the acceleration due to gravity {tex} \mathrm { g } {/tex} is

Question 20 :
<b>{tex}\mathrm{Assertion}{/tex}</b> : The concept of energy is central to Physics and expression for energy can be written for every physical system.<br> <b>{tex}\mathrm{Reason}{/tex}</b> : Law of conservation of energy is not valid for all forces and for any kind of transformation between different forms of energy.

Question 21 :
Match the columns I and II<br>{tex} \begin{array} { l l } { }{ \text { Column } \mathrm { I } } & { \text { Column } \mathrm { II } } \\ { \text { (A) Practical unit } } & { \text { (1) } \text { radian } } \\ { \text { (B) Base unit } } & { \text { (2) light year } } \\ { \text { (C) Derived unit } } & { \text { (3) } \mathrm { kg } - \mathrm { ms } ^ { - 1 } } \\ { \text { (D) Complementary unit } } & { \text { (4) second } } \end{array} {/tex}<br>

Question 22 :
The density of a material in CGS system of units is {tex}4\mathrm{g/cm}^3{/tex} In a system of units in which unit of length is {tex} 10 \mathrm { cm } {/tex} and unit of mass is {tex} 100 \mathrm { g } {/tex}, the value of density of material will be

Question 23 :
The dimensions of {tex} \frac { 1 } { \epsilon _ { \mathrm { o } } } \frac { \mathrm { e } ^ { 2 } } { \mathrm { hc } } {/tex} are

Question 24 :
Match the columns I and II.<br>{tex} \begin{array} { l l } { \text { ColumnI } } & { \text { Column II } } \\ { \text { (A) Angle } } & { \text { (1) } \mathrm { ML } ^ { 2 } \mathrm { T } ^ { - 3 } } \\ { \text { (B) Power } } & { \text { (2) } \mathrm { M } ^ { 0 } \mathrm { L } ^ { 0 } \mathrm { T } ^ { 0 } } \\ { \text { (C) Work } } & { \text { (3) } \mathrm { ML } ^ { 2 } \mathrm { T } ^ { - 2 } } \\ { \text { (D) Energy/Length } } & { \text { (4) } \mathrm { MLT } ^ { - 2 } } \end{array} {/tex}<br>

Question 25 :
Consider the following statements and select the correct option.<br>I. Every measurement by any measuring instrument has some error <br>II. Every calculated physical quantity that is based on measured values has some error <br>III. A measurement can have more accuracy but less precision and vice-versa.<br>

Question 26 :
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 27 :
A physical quantity {tex} Q {/tex} is related to four observables {tex} x , y , z {/tex} and {tex} t {/tex} by the relation {tex} Q = {/tex}{tex} \frac { x ^ { 2 / 5 } z ^ { 3 } } { y \sqrt { t } } . {/tex} The percentage errors of measurement in {tex} x , y , z {/tex} and {tex} t {/tex} are {tex} 2.5 \% , 2 \% , 0.5 \% {/tex} and {tex} 1 \% {/tex} respectively. The percentage error in {tex} Q {/tex} will be<br>

Question 28 :
The current voltage relation of a diode is given by {tex} \mathrm { I } = \left( \mathrm { e } ^ { \text {1000V } / T } - 1 \right) \mathrm { mA } , {/tex} where the applied voltage {tex} \mathrm { V } {/tex} is in volts and the temperature {tex} \mathrm T {/tex} is in degree kelvin. If a student makes an error measuring {tex} \pm 0.01 \mathrm { V } {/tex} while measuring the current of {tex} 5 \mathrm { mA } {/tex} at {tex} 300 \mathrm { K } , {/tex} what will be the error in the value of current in {tex} \mathrm { mA } ? {/tex}

Question 29 :
In order to measure physical quantities in the sub-atomic world, the quantum theory often employs energy [E], angular momentum [J] and velocity [ c] as fundamental dimensions instead of the usual mass, length and time. Then, the dimension of pressure in this theory is

Question 30 :
Match the Column I and Column II.<br> {tex} \begin{array} { l l }{ \text { Column I } } & { \text { Column II } } \\ { \text { (A) Johannes Kepler } } & { \text { (1) Nuclear model of the atom } } \\ { \text { (B) Tycho Brahe } } & { \text { (2) Planetary motion } } \\ { \text { (C) Nicolas Copernicus } }& { \text { (3 ) Elliptical orbit theory } } \\ { \text { (D) Ernest Rutherford } } & { \text { (4) Circular orbit theory } } \end{array} {/tex}