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Detailed Solution for NEET Minor Test - 1 - Question 1

NEET Minor Test - 1 - Question 2

The physical quantity that has the same dimensional formula as pressure is:

Detailed Solution for NEET Minor Test - 1 - Question 2

NEET Minor Test - 1 - Question 3

If force [F], acceleration [A] and time [T] are chosen as the fundamental physical quantities. Find the dimensions of energy.

Detailed Solution for NEET Minor Test - 1 - Question 3

NEET Minor Test - 1 - Question 4

If E and G respectively denote energy and gravitational constant, then E/G has the dimensions of

Detailed Solution for NEET Minor Test - 1 - Question 4

NEET Minor Test - 1 - Question 5

Taking into account of the significant figures, what is the value of 9.99m − 0.0099m?

Detailed Solution for NEET Minor Test - 1 - Question 5

Detailed Solution for NEET Minor Test - 1 - Question 6

NEET Minor Test - 1 - Question 7

The main scale of a vernier callipers has n divisions/cm. n divisions of the vernier scale coincide with (n-1) divisions of main scale. The least count of the vernier callipers is,

Detailed Solution for NEET Minor Test - 1 - Question 7

NEET Minor Test - 1 - Question 8

A physical quantity of the dimensions of length that can be formed out of c, G and is [c is velocity of light, G is the universal constant of gravitation and e is charge].

Detailed Solution for NEET Minor Test - 1 - Question 8

NEET Minor Test - 1 - Question 9

If dimensions of critical velocity v_{c} of a liquid flowing through a tube are expressed as [η^{x}ρ^{y}γ^{z}] where η, ρ and γ are the coefficient of viscosity of liquid, density of liquid and radius of the tube respectively, then the values of x, y and z are given by.

Detailed Solution for NEET Minor Test - 1 - Question 9

NEET Minor Test - 1 - Question 10

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

Detailed Solution for NEET Minor Test - 1 - Question 10

NEET Minor Test - 1 - Question 11

The damping force on an oscillator is directly proportional to the velocity. The units of the constant of proportionality are

Detailed Solution for NEET Minor Test - 1 - Question 11

NEET Minor Test - 1 - Question 12

The density of a material in CGS system of units is 4g∕cm^{3} In a system of units in which unit of length is 10 cm and unit of mass is 100 g, the value of density of material will be

Detailed Solution for NEET Minor Test - 1 - Question 12

NEET Minor Test - 1 - Question 13

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 maximum percentage errors in measurement of the distance and the time are e_{1} and e_{2} respectively, the percentage error in the estimation of g is

Detailed Solution for NEET Minor Test - 1 - Question 13

NEET Minor Test - 1 - Question 14

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

Detailed Solution for NEET Minor Test - 1 - Question 14

NEET Minor Test - 1 - Question 15

Dimensions of resistance in an electrical circuit, in terms of dimension of mass M, of length L, of time T and of current I, would be

Detailed Solution for NEET Minor Test - 1 - Question 15

NEET Minor Test - 1 - Question 16

The ratio of the distances travelled by a freely falling body in the 1st ,2nd ,3rd and 4th second

Detailed Solution for NEET Minor Test - 1 - Question 16

Detailed Solution for NEET Minor Test - 1 - Question 17

NEET Minor Test - 1 - Question 18

A car starts from rest and accelerates at 5 m/s^{2}. At t = 4 s, a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at t = 6 s?(Take g = 10 m/s^{2})[NEET

Detailed Solution for NEET Minor Test - 1 - Question 18

NEET Minor Test - 1 - Question 19

Preeti reached the metro station and found that the escalator was not working. She walked up the stationary escalator in time t_{1}. On other days, if she remains stationary on the moving escalator, then the escalator takes her up in time t_{2}. The time taken by her to walk up on the moving escalator will be

Detailed Solution for NEET Minor Test - 1 - Question 19

NEET Minor Test - 1 - Question 20

Two cars P and Q start from a point at the same time in a straight line and their positions are represented by x_{p}(t) = (at + bt^{2}) and x_{Q}(t) = (ft − t^{2}). At what time do the cars have the same velocity?

Detailed Solution for NEET Minor Test - 1 - Question 20

NEET Minor Test - 1 - Question 21

A stone falls freely under gravity. It covers distances h_{1}, h_{2} and h_{3} in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h_{1} and h_{2} and h_{3} is

Detailed Solution for NEET Minor Test - 1 - Question 21

NEET Minor Test - 1 - Question 22

The motion of a particle along a straight line is described by equation x = 8 + 12t − t^{3} where x is in metre and t in second. The retardation of the particle when its velocity becomes zero is

Detailed Solution for NEET Minor Test - 1 - Question 22

NEET Minor Test - 1 - Question 23

A particle covers half of its total distance with speed v_{1} and the rest half distance with speed v_{2}. Its average speed during the complete journey is

Detailed Solution for NEET Minor Test - 1 - Question 23

NEET Minor Test - 1 - Question 24

A ball is dropped from a high rise platform at 1 = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v?

(Take g = 10m∕s^{2})

Detailed Solution for NEET Minor Test - 1 - Question 24

NEET Minor Test - 1 - Question 25

A particle starts its motion from rest under the action of a constant force. If the distance covered in first 10 seconds is S_{1} and that covered in the first 20 seconds is S_{2}, then

Detailed Solution for NEET Minor Test - 1 - Question 25

NEET Minor Test - 1 - Question 26

A ball is projected with a velocity, 10ms^{−1}, at an angle of 60∘ with the vertical direction. Its speed at the highest point of its trajectory will be

Detailed Solution for NEET Minor Test - 1 - Question 26

NEET Minor Test - 1 - Question 27

The speed of a swimmer in still water is 20m∕s. The speed of river water is 10m/s and is flowing due east.

If he is standing on the south bank and wishes to cross the river along the shortest path, the angle at which he should make his strokes w.r.t. north is, given by

Detailed Solution for NEET Minor Test - 1 - Question 27

NEET Minor Test - 1 - Question 28

Two particles A and B are moving in uniform circular motion in concentric circles of radii r_{A} and r_{B} with speed v_{A} and v_{B} respectively. Their time period of rotation is the same. The ratio of angular speed of A to that of B will be

Detailed Solution for NEET Minor Test - 1 - Question 28

NEET Minor Test - 1 - Question 29

The x and y coordinates of the particle at any time are x = 5t − 2t^{2} and y = 10t respectively, where x and y are in meters and t in seconds. The acceleration of the particle at t = 2 s

Detailed Solution for NEET Minor Test - 1 - Question 29

NEET Minor Test - 1 - Question 30

If vectors are functions of time, then the value of t at which they are orthogonal to each other is

Detailed Solution for NEET Minor Test - 1 - Question 30

NEET Minor Test - 1 - Question 31

A ship A is moving westwards with a speed of 10kmh^{−1} and a ship B 100 km South of A, is moving northwards with a speed of 10kmh^{−1}. The time after which the distance between them becomes shortest, is

Detailed Solution for NEET Minor Test - 1 - Question 31

NEET Minor Test - 1 - Question 32

A particle is moving such that its position coordinates (x, y) are (2 m, 3 m) at time t = 0, (6 m, 7 m) at time t = 2 s and (13 m, 14 m) at time t = 5 s.

Average velocity vector from t = 0 to t = 5 s is

Detailed Solution for NEET Minor Test - 1 - Question 32

Detailed Solution for NEET Minor Test - 1 - Question 33

NEET Minor Test - 1 - Question 34

A particle has initial velocity and acceleration The magnitude of velocity after 10 seconds will be

Detailed Solution for NEET Minor Test - 1 - Question 34

NEET Minor Test - 1 - Question 35

A missile is fired for maximum range with an initial velocity of 20 m/s. If the range of missile is

Detailed Solution for NEET Minor Test - 1 - Question 35

NEET Minor Test - 1 - Question 36

Choose the wrong statement for zero error and zero correction:

Detailed Solution for NEET Minor Test - 1 - Question 36

NEET Minor Test - 1 - Question 37

Which of the following pairs of physical quantities does not have same dimensional formula?

Detailed Solution for NEET Minor Test - 1 - Question 37

NEET Minor Test - 1 - Question 38

A particle moves in a straight line with a constant acceleration. It changes its velocity from 10ms^{−1} to 20ms^{−1} while passing through a distance 135 m in t second. The value of t is

Detailed Solution for NEET Minor Test - 1 - Question 38

NEET Minor Test - 1 - Question 39

A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed v_{d}. The average speed for this round trip is

Detailed Solution for NEET Minor Test - 1 - Question 39

NEET Minor Test - 1 - Question 40

Two bodies A (of mass 1kg) and B (of mass 3kg) are dropped from heights of 16m and 25m, respectively. The ratio of the time taken by them to reach the ground is

Detailed Solution for NEET Minor Test - 1 - Question 40

NEET Minor Test - 1 - Question 41

A projectile is fired at an angle of 45° with the horizontal. Elevation angle of the projectile at its highest point as seen from the point of projection, is

Detailed Solution for NEET Minor Test - 1 - Question 41

NEET Minor Test - 1 - Question 42

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

Detailed Solution for NEET Minor Test - 1 - Question 42

NEET Minor Test - 1 - Question 43

A particle moves in x-y plane according to rule x = asinωt and y = acosωt. The particle follows

Detailed Solution for NEET Minor Test - 1 - Question 43

NEET Minor Test - 1 - Question 44

A particle of mass m is projected with velocity v making an angle of 45° with the horizontal. When the particle lands on the level ground the magnitude of the change in its momentum will be

Detailed Solution for NEET Minor Test - 1 - Question 44

NEET Minor Test - 1 - Question 45

For angles of projection of a projectile at angle (45°−θ) and (45°+θ), the horizontal range described by the projectile are in the ratio of

Detailed Solution for NEET Minor Test - 1 - Question 45

NEET Minor Test - 1 - Question 46

Volume occupied by one molecule of water (density = 1 g/cm^{3}) is :

Detailed Solution for NEET Minor Test - 1 - Question 46

NEET Minor Test - 1 - Question 47

Liquid benzene (C_{6}H_{6}) burns in oxygen according to the equation,

2C_{6}H_{6}(l) + 15O_{2}(g) → 12CO_{2}(g) + 6H_{2}O(l)

How many litres of O_{2} at STP are needed to complete the combustion of 39 g of liquid benzene? (Molecular weight of O_{2} = 32, C_{6}H_{6 }= 78)

Detailed Solution for NEET Minor Test - 1 - Question 47

NEET Minor Test - 1 - Question 48

The solubility of a substance 'X' in pure ethanol is 0.1 gm/L and in water is 0.01 gm/L. To dissolve 11 gm of dry 'X'', 20 mL of fresh 50%5 (V/V) ethanol solution is added. How many times do we need to add this ethanol solution to dissolve 'X'?

Detailed Solution for NEET Minor Test - 1 - Question 48

NEET Minor Test - 1 - Question 49

In Haber's process, 30 litres of dihydrogen and 30 litres of dinitrogen were taken for the reaction, which yielded only 50% of the expected product. What will be the composition of the gaseous mixture under the aforesaid condition in the end?

Detailed Solution for NEET Minor Test - 1 - Question 49

NEET Minor Test - 1 - Question 50

The molecular weight of glucose is 180. What is the molarity of a solution which contains 18 g/L of glucose?

Detailed Solution for NEET Minor Test - 1 - Question 50

NEET Minor Test - 1 - Question 51

For the reaction represented by the equation, CX_{4 }+ 2O_{2 }→ CO_{2 }+ 2X_{2}O, 9.0 g of CX_{4} completely reacts with 1.74 g of oxygen. The approximate molar mass of X will be:

Detailed Solution for NEET Minor Test - 1 - Question 51

Detailed Solution for NEET Minor Test - 1 - Question 52

Detailed Solution for NEET Minor Test - 1 - Question 53

NEET Minor Test - 1 - Question 54

In a solution of 7.8 g benzene (C_{6}H_{6}) and 46.0 g toluene (C_{6}H_{5}CH_{3}), the mole fraction of benzene is

Detailed Solution for NEET Minor Test - 1 - Question 54

NEET Minor Test - 1 - Question 55

The amount of anhydrous Na_{2}CO_{3} present in 250 mL of 0.25 M solution is

Detailed Solution for NEET Minor Test - 1 - Question 55

Detailed Solution for NEET Minor Test - 1 - Question 56

NEET Minor Test - 1 - Question 57

Match List - I with List - II :

Choose the correct answer from the options given below:

Detailed Solution for NEET Minor Test - 1 - Question 57

NEET Minor Test - 1 - Question 58

A particular station of All India Radio, New Delhi broadcasts on a frequency of 1,368 kHz (kilohertz). The wavelength of the electromagnetic radiation emitted by the transmitter is : [speed of light c = 3.0 × 10^{8} ms^{−1}]

Detailed Solution for NEET Minor Test - 1 - Question 58

NEET Minor Test - 1 - Question 59

Which of the following series of transitions in the spectrum of hydrogen atom falls in visible region?