Quantrex Academy Quantrex AcademyPYQs with solutions · JEE · NEET · NDA

Home · NEET UG · Physics · Mathematics in Physics

Mathematics in Physics — NEET UG Physics PYQs

120 previous year questions from Mathematics in Physics with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

120 questionsPhysicsSolutions on every page
1

For the vector A making an angle with the negative X-axis and lying in the third quadrant, the standard resolved form is

MHT CET Medical 2026 Solution View → 2

The heat generated in a circuit is given by Q = I^2 R t . If the percentage error in the measurement of Q is 1 % , R is 2 % , and t is 1 % , then the percentage error in the measur

MHT CET Medical 2026 Solution View → 3

What is the relation between the two vectors A = 2 i + 5 j - 6 k and B = i + 5 2 j - 3 k ?

MHT CET Medical 2026 Solution View → 4

A body travels uniformly a distance of (20 0.2) m in a time (4.0 0.4) s. The percentage error in the value of velocity is

MHT CET Medical 2026 Solution View → 5

A vector B is along positive y-axis and its vector product with another vector A is zero; then vector A could be

MHT CET Medical 2026 Solution View → 6

The physical quantity P= a³b² c^ 1/3 d^ 1/4 , where the percentage error in a, b, c, and d are 1 % , 3 2 % , 3 % , and 2 % respectively. Then the percentage error in P is

MHT CET Medical 2026 Solution View → 7

A and B are expressed as A =2 i + j and B = i - j . Unit vector perpendicular to A and B is

MHT CET Medical 2026 Solution View → 8

Given A = 2 i - 2 j + 8 k and B = 2 i - m j + 8 k , if A and B have the same direction, the value of m is

MHT CET Medical 2026 Solution View → 9

A rod has mass (4 0.01) kg, radius (2 0.02) cm and length (50 0.05) cm. The maximum percentage error in the measurement of density is

MHT CET Medical 2026 Solution View → 10

The metre scale is used to measure the volume of a block. The measured length is 10 cm, breadth is 20 cm and height is 25 cm. The percentage error in the measurement of volume of a

MHT CET Medical 2026 Solution View → 11

The area of a triangle formed by vectors P = (3 i - 4 j + 2 k ) m and Q = ( i + j - 2 k ) m as adjacent sides is approximately

MHT CET Medical 2026 Solution View → 12

Out of the following vectors, identify the one which is normal to the force, F = 4 i - 3 j .

MHT CET Medical 2026 Solution View → 13

The resultant of two vectors A and B is perpendicular to A and the magnitude is 1 2 times that of B . The angle between A and B is

MHT CET Medical 2026 Solution View → 14

A student measures times for 20 oscillations of a simple pendulum as 30s, 32s, 35s and 31s. If the minimum division in the measuring clock is 1s, then correct mean time in second ,

MHT CET Medical 2026 Solution View → 15

If A = B + C and magnitudes of A , B and C are 5, 4 and 3 units respectively. The angle between A and C is

MHT CET Medical 2026 Solution View → 16

The error in measurement of radius of sphere is 0.2 % , then the percentage error in its volume is

MHT CET Medical 2026 Solution View → 17

The least count of voltmeter is 0.2 V, and least count of ammeter is 1 mA. If the potential difference is 2 V, and the current is 10 mA, what is the percentage error in measurement

MHT CET Medical 2026 Solution View → 18

The initial velocity of an object is u =3 i +2 j m/s. Its constant acceleration is a =5 i +3 j m/s ^2 . The magnitude of the final velocity after 5 s is

MHT CET Medical 2026 Solution View → 19

A metal wire has mass ( 0 . 4 ± 0 . 002 ) g , radius ( 0 . 3 ± 0 . 001 ) mm and length ( 5 ± 0 . 02 ) cm . The maximum possible percentage error in the measurement o

NEET 2023 Solution View → 20

Which of the following statement is not true?

NEET 2023 Solution View → 21

The diameter of a spherical bob, when measured with vernier callipers yielded the following values: 3.33 ~cm , 3.32 ~cm , 3.34 ~cm , 3.33 ~cm and 3.32 ~cm . The mean diameter to ap

NEET 2023 Solution View → 22

The errors in the measurement which arise due to unpredictable fluctuations in temperature and voltage supply are:

NEET 2023 Solution View → 23

The percentage error in the measurement of g is ( . Given that g= 4 ^2 ~L ~T ^2 , ~L =(10 0.1) cm , T =(100 1) s ):

NEET 2022 Solution View → 24

If F =2 i + j - k and r =3 i +2 j -2 k , then the scalar and vector products of F and r have the magnitudes respectively as:

NEET 2022 Solution View → 25

The area of a rectangular field (in m 2 ) of length 55 . 3   m and breadth 25   m after rounding off the value for correct significant digits is:

NEET 2022 Solution View → 26

Taking into account of the significant figures, what is the value of 9 . 99   m – 0 . 0099   m ?

NEET 2020 Solution View → 27

Time intervals measured by a clock give the following readings: 1 . 25   s ,   1 . 24   s ,   1 . 27   s ,   1 . 21   s and 1 . 28   s . Wha

NEET 2020 Solution View → 28

A potential difference V=100 5 ~V , when applied across a resistance, gives a current I=10 0.2 ~A . What is the percentage error in R ?

AIIMS 2019 Solution View → 29

Assertion : The cross product of a vector with itself is a null vector. Reason : The cross product of two vectors results in a vector quantity.

AIIMS 2019 Solution View → 30

Assertion : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation. Reason : The displacement can be added with distance.

AIIMS 2019 Solution View → 31

A particle moving with velocity V → is acted by three forces shown by the vector triangle P Q R . The velocity of the particle will

NEET 2019 Solution View → 32

In an experiment, the percentage of error occurred in the measurement of physical quantities A ,   B ,   C and D are 1%, 2%, 3% and 4%, respectively. Then the maximum per

NEET 2019 Solution View → 33

Assertion : The cross product of a vector with itself is a null vector. Reason : The cross product of two vectors results in a vector quantity.

NEET 2019 Solution View → 34

Assertion : Adding a scalar to a vector of the same dimensions is a meaningful algebraic operation. Reason : The displacement can be added with distance.

NEET 2019 Solution View → 35

A potential difference V=100 5 ~V , when applied across a resistance, gives a current I=10 0.2 ~A . What is the percentage error in R ?

NEET 2019 Solution View → 36

The mass of a box measured by a grocer's balance is 2.3 ~kg . Two gold pieces of masses 20.15 ~g and 20.17 ~g are added to the box. What is the total mass of the box and the differ

AIIMS 2018 Solution View → 37

Assertion : The first derivative of a vector of constant magnitude (either zero or a nonzero) is perpendicular to the vector itself. Reason : Scalar product of two vectors obeys co

AIIMS 2018 Solution View → 38

Two vectors are given by A =(3 i + j +3 k ) and B =(3 i +5 j -2 k ) . Find the third vector C if A +3 B - C =0 .

AIIMS 2018 Solution View → 39

Assertion : If dot product and cross product of P and Q are zero, it implies that one of the vector P and Q must be null vector. Reason : A null vector is a vector of zero magnitud

AIIMS 2018 Solution View → 40

The percentage error in measuring M , L and T are 1 %, 1.5 % and 3 % respectively. Then the percentage error in measuring the physical quantity with dimensions [ ML ⁻¹ ~T ⁻¹ ] is

AIIMS 2018 Solution View → 41

R =65 1 L , l =5 0.1 ~mm and d =10 0.5 ~mm . Find error in calculation of resistivity.

JIPMER 2018 Solution View → 42

The moment of the force, F → = 4 i ^ + 5 j ^ − 6 k ^ at ( 2 , 0 , − 3 ) , about the point ( 2 , − 2 , − 2 ) , is given by

NEET 2018 Solution View → 43

The percentage error in measuring M , L and T are 1 %, 1.5 % and 3 % respectively. Then the percentage error in measuring the physical quantity with dimensions [ ML ⁻¹ ~T ⁻¹ ] is

NEET 2018 Solution View → 44

Two vectors are given by A =(3 i + j +3 k ) and B =(3 i +5 j -2 k ) . Find the third vector C if A +3 B - C =0 .

NEET 2018 Solution View → 45

The mass of a box measured by a grocer's balance is 2.3 ~kg . Two gold pieces of masses 20.15 ~g and 20.17 ~g are added to the box. What is the total mass of the box and the differ

NEET 2018 Solution View → 46

Assertion : If dot product and cross product of P and Q are zero, it implies that one of the vector P and Q must be null vector. Reason : A null vector is a vector of zero magnitud

NEET 2018 Solution View → 47

Assertion : The first derivative of a vector of constant magnitude (either zero or a nonzero) is perpendicular to the vector itself. Reason : Scalar product of two vectors obeys co

NEET 2018 Solution View → 48

R =65 1 L , l =5 0.1 ~mm and d =10 0.5 ~mm . Find error in calculation of resistivity.

NEET 2018 Solution View → 49

A physical quantity X is given by X= 2 k^3 l^2 m n The percentage error in the measurements of k , l, m and n are 1 %, 2 %, 3 % and 4 % respectively. The value of X is uncertain by

AIIMS 2017 Solution View → 50

A physical quantity X is given by X= 2 k^3 l^2 m n The percentage error in the measurements of k , l, m and n are 1 %, 2 %, 3 % and 4 % respectively. The value of X is uncertain by

NEET 2017 Solution View → 51

If A and B are non-zero vectors which obey the relation | A + B |=| A - B | , then the angle between them is

AIIMS 2016 Solution View → 52

If A + B = C and that C is perpendicular to A . What is the angle between A and B , if | A |=| C | ?

JIPMER 2016 Solution View → 53

If the magnitude of sum of two vectors is equal to the magnitude of difference of the two vectors, the angle between these vectors is:

NEET 2016 Solution View → 54

If A and B are non-zero vectors which obey the relation | A + B |=| A - B | , then the angle between them is

NEET 2016 Solution View → 55

If A + B = C and that C is perpendicular to A . What is the angle between A and B , if | A |=| C | ?

NEET 2016 Solution View → 56

The angle between two linear transmembrane domains is defined by following vectors a = i + j - k and b = i - j + k

JIPMER 2015 Solution View → 57

If vectors A → = cos ⁡ ω t  i ^ + s i n ω t   j ^ and B → = c o s ω t 2  i ^ + sin ⁡ ω t 2  j ^ are functions of tim

NEET 2015 Solution View → 58

The angle between two linear transmembrane domains is defined by following vectors a = i + j - k and b = i - j + k

NEET 2015 Solution View → 59

If a vector 2 i +3 j +8 k is perpendicular to the vector 4 i -4 j + k , then value of is

AIIMS 2013 Solution View → 60

Vectors A , B , and C are such A B =0 A C =0 . Then the vector parallel is A is:

NEET 2013 Solution View → 61

In an experiment four quantities a, b, c and d are measured with percentage error 1 %, 2 %, 3 % and 4 % respectively. Quantity P is calculated as follows P= a^3 b^2 c d % , Error i

NEET 2013 Solution View → 62

If a vector 2 i +3 j +8 k is perpendicular to the vector 4 i -4 j + k , then value of is

NEET 2013 Solution View → 63

A certain vector in the x y -plane has an x -component of 4 m and a y -component of 10 m. It is then rotated in the x y -plane so that its x -component is doubled. Then, its new y

JIPMER 2012 Solution View → 64

A certain vector in the x y -plane has an x -component of 4 m and a y -component of 10 m. It is then rotated in the x y -plane so that its x -component is doubled. Then, its new y

NEET 2012 Solution View → 65

Six vectors a through f have the magnitudes and directions indicated in the figure. Which of the following statements is true?

NEET 2010 Solution View → 66

A student measures the distance traversed in free fall of a body, initially at rest in a given time. He uses this data to estimate g , the acceleration due to gravity. If the maxim

NEET 2010 Solution View → 67

If the error in the measurement of radius of a sphere is 2 % , then the error in the determination of volume of the sphere will be

NEET 2008 Solution View → 68

Three forces acting on a body are shown in the figure. To have the resultant force only along the y-direction, the magnitude of the minimum additional force needed is

NEET 2008 Solution View → 69

If the error in the measurement of radius of a sphere is 2 % , then the error in the determination of volume of the sphere will be

NEET 2008 Solution View → 70

Three forces acting on a body are shown in the figure. To have the resultant force only along the y -direction, the magnitude of the minimum additional force needed is

NEET 2008 Solution View → 71

If the angle between the vectors A and B is , the value of the product ( B A ) A is equal to

JIPMER 2007 Solution View → 72

If a vector 2 i +3 j +8 k is perpendicular to the vector 4 j -4 i + k , then the value of is

JIPMER 2007 Solution View → 73

A particle starting from the origin (0,0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are ( 3 , 3) . The path of the particle makes with the x -ax

NEET 2007 Solution View → 74

A and B are two vectors and is the angle between them, if | A B |= 3 ( A B ) , the value of is.

NEET 2007 Solution View → 75

If a vector 2 i +3 j +8 k is perpendicular to the vector 4 j -4 i + k , then the value of is

NEET 2007 Solution View → 76

If the angle between the vectors A and B is , the value of the product ( B A ) A is equal to

NEET 2007 Solution View → 77

The vectors A and B are such that | A + B |=| A - B | . The angle between the two vectors is:

NEET 2006 Solution View → 78

The length, breadth and thickness of a block are given by l=12 ~cm , b=6 ~cm and t=2.45 ~cm . The volume of the block according to the idea of significant figures should be

JIPMER 2005 Solution View → 79

If a vector 2 i +3 j +8 k is perpendicular to the vector 4 j -4 i + k then the value of is:

NEET 2005 Solution View → 80

If the angle between the vector A and ( B A ) A is , the value of the product ( B A ) A is equal to:

NEET 2005 Solution View → 81

The length, breadth and thickness of a block are given by l=12 ~cm , b=6 ~cm and t=2.45 ~cm . The volume of the block according to the idea of significant figures should be

NEET 2005 Solution View → 82

If | A B |= 3 A B then the value of | A + B | is:

NEET 2004 Solution View → 83

The vector sum of two forces is perpendicular to their vector differences. In that case, the force:

NEET 2003 Solution View → 84

If vectors P =a i +a j +3 k and Q=a i -2 j - k are perpendicular to each other, then the positive value of a is

AIIMS 2002 Solution View → 85

If vectors P =a i +a j +3 k and Q=a i -2 j - k are perpendicular to each other, then the positive value of a is

NEET 2002 Solution View → 86

The heat produced in a long wire is characterised by resistance, current and time through which the current passes. If the errors in measuring these quantities are respectively 1 %

AIIMS 2001 Solution View → 87

The heat produced in a long wire is characterised by resistance, current and time through which the current passes. If the errors in measuring these quantities are respectively 1 %

NEET 2001 Solution View → 88

Assertion (A) The number 0.00764 has three significant figures. Reason (R) If the number is less than 1 , the zeros on the right of the decimal point but to the left of the first n

NEET Solution View → 89

The angle between vector ( A → ) and ( A → - B → ) is :

NEET Solution View → 90

Assertion A : If A , B , C , D are four points on a semi-circular arc with a centre at O such that | A B → | = | B C → | = | C D → | . Then, A B → + A C → + A D → = 4 A O → + O B →

NEET Solution View → 91

Statement-I : Two forces P → + Q → and P → - Q → where P → ⊥ Q → , when act at an angle θ 1 each other, the magnitude of their resultant is 3 P 2 + Q 2 , when they act at an angle

NEET Solution View → 92

Statement I: If three forces F → 1 , F → 2 and F → 3 are represented by three sides of a triangle and F 1 → + F 2 → = - F → 3 , then these three forces are concurrent forces and sa

NEET Solution View → 93

The two vectors A and B are drawn from a common point and C = A + B , then angle between A and B is - (1) 90^ if C ²= A ²+ B ² (2) greater than 90^ if C ²< A ²+ B ² (3) greater tha

NEET Solution View → 94

Two students P and Q perform an experiment to verify Ohm's law for a conductor with resistance R . They use a current source and a voltmeter with least counts of 0.1 ~mA and 0.1 mV

NEET Solution View → 95

Match the measurements given in List I with the number of significant figures given in List II. array |l|l|l|l| & List I & & List II (A) & 74.083 & I. & 3 (B) & 0.029 & II. & 4 (C)

NEET Solution View → 96

Read the following statements carefully: Statement I: The integer used to divide the sum of measurements when calculating an average is an exact number with infinite significant fi

NEET Solution View → 97

Match List I with List II. List I List II (a) C → - A → - B → = 0 (i) (b) A → - C → - B → = 0 (ii) (c) B → - A → - C → = 0 (iii) (d) A → + B → = - C → (iv) Choose the correct answe

NEET Solution View → 98

The heat dissipated in a resistor is given by the formula H = I^2 R t . In a laboratory experiment, the measured values of current ( I ), resistance ( R ), and time ( t ) are recor

NEET Solution View → 99

Two resistors have resistances R₁ = (100 3) , and R₂ = (200 4) , . When they are connected in series, the percentage error in their equivalent resistance is:

NEET Solution View → 100

A student measures human body temperature by placing a thermometer under the armpit. This method always gives a temperature reading that is lower than the actual internal body temp

NEET Solution View → 101

A student records four measurements of a time interval as 2.3 s , 2.4 s , 2.6 s , and 2.7 s . Match the statistical terms in List-I with their corresponding calculated values in Li

NEET Solution View → 102

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The mean of three length measurements 4.2 cm , 4.5 cm , and

NEET Solution View → 103

A student measures the mass and radius of a solid sphere to calculate its density. If the percentage errors in the measurement of mass and radius are 2 % and 1.5 % respectively, th

NEET Solution View → 104

A student measures the time period of a simple pendulum 4 times. The mean time period is calculated to be 2.00 s . If three of the recorded readings are 1.98 s , 1.99 s , and 2.02

NEET Solution View → 105

In an experiment to determine the specific resistance ( ) of a wire, the formula used is = R d^2 4l , where R is the resistance, d is the diameter, and l is the length of the wire.

NEET Solution View → 106

Match List-I with List-II regarding the types of errors in measurement: List-I List-II (A) Zero error of vernier calipers (I) Imperfection in experimental technique (B) Ignoring bu

NEET Solution View → 107

The diameter of a sphere is measured using a screw gauge having a pitch of 1 mm and 100 divisions on its circular scale. If the measured diameter is 2.50 mm , the maximum percentag

NEET Solution View → 108

In an experiment to determine the acceleration due to gravity ( g ) using a simple pendulum, the formula used is g = 4 ^2 L T^2 . If the maximum percentage error in the calculated

NEET Solution View → 109

A student measures the time of flight of a projectile five times and records the following readings: 4.6 s , 4.8 s , 5.0 s , 5.2 s , and 5.4 s . Which of the following statements r

NEET Solution View → 110

Four measurements of the mass of a block are recorded as 2.01 ~g , 2.02 ~g , 2.03 ~g , and 2.05 ~g . The final reported mass of the block, expressed in the standard form (mean mean

NEET Solution View → 111

The kinetic energy of a moving body is given by K = 1 2 mv^2 . If the mass of the body is measured as m = (2.0 0.1) kg and its velocity as v = (5.0 0.2) m/s, what is the maximum pe

NEET Solution View → 112

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A): The random error in a measurement can be minimized by takin

NEET Solution View → 113

A student measures the time taken for a stone to fall from a cliff. The recorded readings are 9.8 s , 9.9 s , 10.1 s , and 10.2 s . The student uses the formula h = 1 2 gt^2 to cal

NEET Solution View → 114

In an experiment, the percentage errors in the measurement of three physical quantities A , B , and C are 1 % , 2 % , and 4 % respectively. Match the derived quantities in List-I w

NEET Solution View → 115

The percentage errors in the measurement of mass ( M ), length ( L ), and time ( T ) are 1 % , 2 % , and 3 % respectively. Match the physical quantities in List-I with the maximum

NEET Solution View → 116

The heat dissipated in a resistance wire is given by Joule's law of heating, H = I^2 R t . In an experiment, the maximum percentage errors in the measurement of heat dissipated ( H

NEET Solution View → 117

In an experiment to determine the acceleration due to gravity ( g ) using a simple pendulum, a student measures the length of the pendulum as (100.0 0.1) cm and the time period as

NEET Solution View → 118

In an experiment, a student measures the time period of a simple pendulum five times. The recorded values are 2.63 ~s , 2.56 ~s , 2.42 ~s , 2.71 ~s , and 2.80 ~s . The mean time pe

NEET Solution View → 119

Which of the following statements regarding errors in measurement is incorrect?

NEET Solution View → 120

The percentage errors in the measurement of mass, length, and time are 1 % , 2 % , and 3 % respectively. Match List-I (Physical Quantity) with List-II (Maximum Percentage Error) ba

NEET Solution View →
Practice all Mathematics in Physics questions in the app →