NEET PYQ Mathematics in Physics - Chapter-wise Questions with Solutions

About Mathematics in Physics PYQs

Mathematics in Physics has 120 previous year questions in the Quantrex Academy NEET UG Physics bank. The 120 questions in this list come from NEET (82), MHT CET Medical (18), AIIMS (13) and 1 other source, spanning 2001 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

NEET Mathematics in Physics PYQs with Solutions

About Mathematics in Physics PYQs

Questions by year (this list)

Mathematics in Physics questions with solutions

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

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

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

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

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

The physical quantity P= a^ 3 b^ 2 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

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

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

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

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

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

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

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

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

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

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

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

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

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 of density will

Which of the following statement is not true?

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

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

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

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:

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

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

Time intervals measured by a clock give the following readings: 1 . 25s, 1 . 24s, 1 . 27s, 1 . 21s and 1 . 28s . What is the percentage relative error of the observations?

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 ?

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.

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

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

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 percentage of

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.

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

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 ?

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

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

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 .

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

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 ]

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

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

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 ]

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 .

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

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

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

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

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

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

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

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

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:

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

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

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

If vectors → A = cos ⁡ ^ i + sin ^ j and → B = cos( )/(2) ^ i + sin ⁡ ( )/(2) ^ j are functions of time, then the value of t at which they are orthogonal to each other is:

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

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

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

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) \%

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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