Physics and Measurement — practice questions

130 curated practice questions from Physics and Measurement (Physics JEE Main, NTA Exams) — 102 easy, 17 medium, 11 hard. Every question includes the final answer free; step-by-step worked solutions with a free account.

• Subtract 87.9 from 87.963. The answer in corrected significant figures is
• The damping force of an oscillating particle is observed to be proportional to velocity. The constant of…
• A physical quantity ρ is calculated by using the formula = 1 x y^ 2 10 z^ 1 / 3 , where x, y and z are experimentally…
• [ M ^ a LTA ] is the dimension of
• Given below are two statements. STATEMENT - 1: The number of significant figures in 5.67 are 3. STATEMENT - 2: All the…
• Two forces F _ 1 and F _ 2 are acting at right angles to each other. Then their resultant has a magnitude
• Given X = (Gh / c 3 ) 1/2, where G, h and c are gravitational constant, Planck’s cosntant and the velocity of light…
• If 3.8 × 10 –6 is added to 4.32 × 10 –5 giving due regard to significant figures, then the result will be
• The time dependence of a physical quantity P is given by P =P_ 0 e^ - t^ 2 where α is a constant and t is time. Then…
• If the error in the measurement of radius of a sphere is 2%, then the error in the determination of volume of the…
• The magnetic force on a moving point charge is F = q ( v B ) . Here, q = electric charge v = velocity of the point…
• Three forces of magnitudes 6 N, 6 N and 72 N act at a corner of a cube along three sides as shown in figure. Resultant…
• The current voltage relation of diode is given by I= (e^ 1000 ~V ~T -1 ) mA where the applied voltage V is in volts and…
• A force is inclined at 60° to the horizontal. If its rectangular component in the horizontal direction is 50 N, then…
• The thrust developed by a rocket–motor is given by F = mv + A(p 1 – p 2 ), where m is the mass of the gas ejected per…
• Copper of fixed volume 'V' is drawn into wire of length ' l '. When this wire is subjected to a constant force 'F', the…
• If a , b , c are vectors such that a + b + c =0 and | a |=7,| b |=5,| c |=3 , then the angle between vector b and c is
• If I is the moment of inertia and ω the angular velocity, what is the dimensional formula of rotational kinetic energy…
• The equation of current is I = I 0 e –t/CR, where t is time, C is capacitance and R is resistance of coil, then the…
• The wavelength associated with a moving particle depends upon power p ^ th of its mass m, q^ th power of its velocity v…
• The heat generated in a circuit is dependent upon the resistance, current and time for which the current is flown. If…
• The mass of a block of wood is 87.2 g and its volume is 25 ~cm ^ 3 . Its density up to correct significant figures is
• A gas bubble from an explosion under water oscillates with a time period T, depends upon static pressure p, density of…
• In the determination of Young’s modulus ( Y = 4 MLg ~d ^ 2 ) by using Searle’s method, a wire of length L = 2 m and…
• A wire has a mass (0.3 ± 0.003)g, radius (0.5 + 0.005)mm and length (6 ±0.06) cm. The maximum precentage error in the…
• Subtract the length of 6.395 m from 10.7 m. The answer in correct significant figures is
• Taking frequency f , velocity v and density to be the fundamental quantities, then the dimensional formula for momentum…
• If the acceleration due to gravity is 10 ms –2 and the units of length and time are changed in kilometre and hour…
• Given θ is the angle between A and B . Then | A B | is equal to
• The component of vector A = a _ x i + a _ y j + a _ z k along the direction of ( i - j ) is
• The magnitude of the X and Y components of A are 7 and 6. Also the magnitudes of X and Y components of A + B are 11 and…
• Find the value of a for which m = 1 3 is a root of equation. a m^ 2 +( 3 - 2 ) m-1=0
• Two blocks of masses 1 kg and 2 kg are connected by a metal wire going over a smooth pulley as shown. The breaking…
• Given below are two statements. STATEMENT - 1: All zeros between decimal point and first non-zero digit of a number…
• The accuracy in measurement of mass of 1.02 g is ± 0.005 g whereas another measurement 9.89 g is also accurate to ±…
• If Q= x^ n y^ m and Δx, Δy are absolute errors in the measurement of x and y, then absolute error ΔQ in Q is
• Given P =3 j +4 k and Q =2 j +5 k . The scalar product of these vector is
• Given below are two statements. STATEMENT - 1: Youngs modulus has the dimensions of force per unit area. STATEMENT - 2…
• If E, m, J and G represent energy, mass, angular momentum and gravitational constant respectively, then the dimensional…
• Given that A + B + C =0 . Two out of the three vectors are equal in magnitude. The magnitude of the third vector is 2…
• A public park, in the form of a square, has an area of (100±0.2) m 2 . The side of park is
• In the relation y = r sin ( t – kx), the dimensions of /k are
• A sample of mass weighs 8.3476 g and has a density of 7.7 g/cm 3 . The volume in cm 3 of the sample up to the correct…
• A vector A points vertically upwards and B point towards North. The vector product A B is
• The simple sum of two co-initial vectors is 16 units. Their vectors sum is 8 units. The resultant of the vectors is…
• The dimensional formula of coefficient of permittivity for free space (ε 0 ) in the equation F = 1 4 _ 0 q_ 1 q_ 2 r^ 2…
• The initial and final temperature of a substance are (30.5 0.5) K and (86.3 0.3) K respectively. The rise in the…
• Given A = i +2 j -3 k . When a vector B is added to A , we get a unit vector along X–axis. Then, B is
• A wire has a mass (0.3 ± 0.003) g, radius (0.5 ± 0.005) mm and length (6 ± 0.06) cm. The maximum percentage error in…
• If A and B denote the sides of a parallelogram and its area is 1 2 AB (A and B are the magnitude of A and B…
• If a , b and c are mutually perpendicular unit vectors, then | a + b + c | is equal to :
• The velocity v (in cms –1 ) of a particle is given in terms of time t (in sec) by the equation. v=a t+ b t+c . The…
• The radius of a wire is 0.46 mm and its length is 21.7 cm. The volume of the wire in cm 3 up to the approximate number…
• The angle between A and B is θ. The value of the triple product A ( ~B A ) is
• A rectangle has length of 2.21 10^ -1 ~m and width equal to 2.2 10^ -1 ~m . Its area is
• Error in the measurement of radius of sphere is 2%. The error in the measurement of volume is
• Which of the following pairs has the same dimensional formula for both the quantities? (i) Kinetic energy and Torque…
• Two wires of the same material and same mass are stretched by the same force. Their lengths are in the ratio 2 : 3…
• The sides of two square plots are (2 x-1) m and (5 x+4) m . The area of the second square plot is 9 times the area of…
• The radius of a disc is 1.2 cm. Its area according to idea of significant figures, will be given by
• If A =2 i +3 j +6 k and B =3 i -6 j +2 k then vector perpendicular to both A and B has magnitude k times that of (6 i…
• If the unit of force is 1 kilo newton, the length is 1 km and time 100 s, what will be the unit of mass?
• A vector F _ 1 is along the positive Y–axis. If its vector product with another vector F _ 2 is zero, then F _ 2 could…
• Two forces, each equal to F, act as shown in figure. Their resultant is
• Which of the following choices do not represent the same dimension of the mentioned physical quantities?
• If S = 1 3 f t 3 , where S is displacement and t is time then find the dimension of f.
• The magnitude of resultant of three vectors of magnitude 1, 2 and 3 whose directions are those of the sides of an…
• The displacement of a particle is given by x=A^ 2 ^ 2 (k t) , where t is time. The unit of k is
• Given R = A + B and R = A = B. The angle between A and B is
• What is the unit vector along i + j ?
• A cube has a side of length 1.2 × 10 –2 m. Calculate its volume
• Two vectors A and B are inclined to each other at an angle θ. Which of the following is the unit vector perpendicular…
• The velocity v of water waves may depend on their wavelenght (λ), the density of water (p) and the acceleration due to…
• The position of a particle moving along X-axis is given by the equation x = [a t^ 2 +b t+c ] metre . The dimensions of…
• If vectors A and B have an angle θ between them, then value of | A - B | will be :
• If there is a positve error of 50% in the measurement of speed of a body, then the error in the measurement of kinetic…
• A simple-pendulum experiment is performed to find the value of acceleration due to gravity by using the expression g=4…
• If 0.5 i +0.8 j + c k is a unit vector, then the value of c is
• If the resultant of the vectors ( i +2 j - k ), ( i - j +2 k ) and C is a unit vector along the y-direction, then C is
• One of the rectangular components of a velocity of 60 kmh –1 is 30 km h –1 . The other rectangular component is
• Two vectors a and b are at an angle of 60° with each other. Their resultant makes an angle of 45° with a . If | b | = 2…
• Which one of the following represents the correct dimensions of the coefficient of viscosity?
• The pressure on a square plate is measured by measuring the force on the plate and the lenght of the sides of the plate…
• The observed time periods of a simple pendulum is 1.34 s, 1.29 s and 1.30 s. The relative error of the time period is
• Given below are two statements. STATEMENT - 1: Dams for water reservoir are built thicker at the bottom than at the…
• In an experiment, we measure quantities a, b and c. Then x is calculated from the formula, x = a b^ 2 c^ 3 . The…
• A cube has a side of length 1.2 10^ -2 ~m . Its volume is
• A bubble rises from bottom of a lake 90 m deep. On reaching the surface, its volume becomes (take atmospheric pressure…
• Consider a new system of units in which C (speed of light in vacuum), h (Planck’s constant) and G (gravitational…
• Students I, II and III perform an experiment for measuring the acceleration due to gravity (g) using a simple pendulum…
• If A =2 i +3 j +4 k and B =4 i +3 j +2 k , then angle between A and B is
• The radius of the sphere is (4.3 ± 0.1)cm. The percentage error in its volume is
• The area of the parallelogram represented by the vectors, A =4 i +3 j and B =2 i +4 j as adjacent side is
• What is the numerical value of vector 3 i +4 j +5 k ?
• Given below are two statements. STATEMENT - 1: Velocity is a vector quantity. STATEMENT - 2: The dimension of velocity…
• The physical quantities which are not having the same dimensions are
• The surface tension is = F , then the dimensions of surface tension are
• The respective number of significant figures for the numbers 23.023, 0.0003 and 2.1 10^ -3 are
• What is the unit of k in the relation U = k y y^ 2 +a^ 2 where U represents the potential energy, y represents the…
• A particle undergoes three successive displacements given by S _ 1 = 2 ~m north–east, S _ 2 =2 ~m due south and S _ 3…
• If the vectors A =2 i +4 j and B =5 i - p j are parallel to each other, the magnitude of B is
• The percentage errors in the measurement of mass and speed are 2% and 3% respectively. How much will be the maximum…
• A wire of length L and area of cross-section A is stretched through a distance x metre by applying a force F along…
• Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…
• Two vectors A and B are such that A + B = C and A 2 + B 2 = C 2 . If θ is the angle between positive direction of A and…
• The dimension of 1 2 L C is (where L and C indicate inductance and capacitance respectively)
• If L denotes the inductance of an inductor through which a currect I is flowing, then the dimensional formula of LI 2 is
• The expression for centripetal force depends upon mass of body, speed of the body and the radius of circular path. Find…
• A wire can sustain the weight of 20 kg before breaking. If the wire is cut into two equal parts, each part can sustain…
• In the equation y = a sin(ωt + kx), the dimensional formula of ω is
• The speed of a car is (45 1.5) km / h . The percentage error in speed is
• The resultant of two forces, each P, acting at an angle θ is
• The dimensional formula of a physical quantity Z is ML ^ 2 ~T . If the errors in M, L and T respectively are 4%, 1% and…
• Projection of P on Q is
• The SI unit of decay constant is (where m is in metre and s is in second)
• The percentage error in the measurement of radius of the sphere is 0.3%. What will be the error in its volume?
• If F = 6πη a r b v c where F = viscous force η = coeffficient of viscosity r = radius of spherical body v = terminal…
• If X = A×B and ∆X, ∆A and ∆B are maximum absolute errors in X, A and B respectively, then the maximum relative error in…
• The dimension of resistance is same as that of ..... where h is the Planck's constant, e is the charge.
• Given, C = A B and D = B A . What is the angle between C and D ?
• A bee of mass 0.000072 kg sits on a flower of mass 0.0184 kg. The number of significant figures of the total mass…
• If the magnitude of the sum of the two vectors is equal to the magnitudes of their difference, then the angle between…
• Given below are two statements. STATEMENT - 1: Screw gauge with a pitch of 0.5 mm is more accurate than 1 mm for the…
• For what value of a, A =2 i +a j + k will be perpendicular to B =4 i -2 j - k
• The x and y components of a force are 2 N and –3N. The force is
• In the equation S nth = u + a 2 (2n – 1), the letters have their usual meanings. The dimensional formula of S nth is
• If p represents radiation pressure, C represents speed of light and q represents radiation energy striking a unit area…
• A physical quantity A is related to four observables a, b, c and d as follows A= a^ 2 b^ 3 c d . The percentage errors…
• When a body falls in air, the resistance of air depends to a great extent on the shape of the body. 3 different shapes…
• Given below are two statements: One is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A)…

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