NATA Mock Test - 10 - JEE MCQ

# NATA Mock Test - 10 - JEE MCQ

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## 50 Questions MCQ Test NATA Sample Papers & Mock Tests 2024 - NATA Mock Test - 10

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NATA Mock Test - 10 - Question 1

### A solid ball rolls down a parabolic path ABC from a height h as shown in figure. Portion AB of the path is rough while BC is smooth. How high will the ball climb in BC ?

Detailed Solution for NATA Mock Test - 10 - Question 1

At B , total kinetic energy = mgh

Here,

m = mass of ball

The ratio of rotational to kinetic energy would be , Kr/Kt = 2/5

where, Kr = 2/7mgh and Kt = 5/7 mgh

In portion BC, friction is absent . Therefore, rotational K.E will remain constant and Translational K.E will convert into potential energy.

Hence, if H be the height to which ball climbs in BC, then

mgH = Kt

mgH = 5/7mgh

H = 5/7h

NATA Mock Test - 10 - Question 2

### A heat engine has an efficiency η. Temperatures of source and sink are each decreased by 100 K. Then, the efficiency of the engine.

Detailed Solution for NATA Mock Test - 10 - Question 2

where T1 and T2 are the temperatures of a source and sink respectively.
When T1 and T2 both are decreased by 100 K each, (T1 - T2) stays constant. T1 decreases.
∴  η increases.

NATA Mock Test - 10 - Question 3

### A particle is moving in a uniform circular motion on a horizontal surface. Particle position and velocity at time t = 0 are shown in the figure in the coordinate system. Which of the indicated variable on the vertical axis is incorrectly matched by the graph shown alongside for particle's motion-

Detailed Solution for NATA Mock Test - 10 - Question 3

NATA Mock Test - 10 - Question 4

In Coolidge tube experiment, if applied voltage is increased to three times, the short wavelength limit of continuous X - ray spectrum shifts by 20 pm. What is the initial voltage applied to the tube ?

Detailed Solution for NATA Mock Test - 10 - Question 4

Cut-off wavelength for continuous x-ray is given as :
∴ hc eV0 = λ  &  hc 3 eV0 = λ - Δλ
⇒   V0 = 2 hc 3 e Δ λ = 41 kV

NATA Mock Test - 10 - Question 5

A washer is made of metal having resistivity 10–7 Ωm. The washer has inner radius 1 cm, outer radius 3 cm and thickness 1 mm. A magnetic field, oriented normal to the plane of the washer, has the time dependent magnitude B = (2t) tesla/sec. Find the current (in ampere) around the washer

Detailed Solution for NATA Mock Test - 10 - Question 5

Electric field at a general radial distance is E
E = rN/c
J = σE
Current in circular element di = j(dr)t
So net current in washer i =

NATA Mock Test - 10 - Question 6

Copper reduces  into NO and NO2 depending upon concentration of HNO3 in solution. Assuming  [Cu2+] = 0.1M, and PNO = PNO2 = 10–3 bar. At which concentration of HNO3, thermodynamic tendency for reduction of  into NO and NO2 by copper is same?

Detailed Solution for NATA Mock Test - 10 - Question 6

NATA Mock Test - 10 - Question 7

A radioactive material (t1/2 = 30 days) gets spilled over the floor of a room. If initial activity is ten times the permissible value, after how many days will it be safe to enter the room

Detailed Solution for NATA Mock Test - 10 - Question 7

It will be safe to enter the room after the nuclei decreases to 1/10 of its initial amount.

→ Half life = 30 days

→ Using integration law,

∴ After 100 days, it will be safe to enter the room.

NATA Mock Test - 10 - Question 8

Detailed Solution for NATA Mock Test - 10 - Question 8

Trinitro benzene diagenium ionis strong electrophile type and show coupling even with mesitylene

NATA Mock Test - 10 - Question 9

A mixture of all possible stereoisomers from the above structure is subjected to fractional distillation, which of the following statements is correct

NATA Mock Test - 10 - Question 10

Which of the following about SF4, SOF4 and COF2 molecules is correct?

Detailed Solution for NATA Mock Test - 10 - Question 10

Equatorial FSF bond angle is less in SFthan in SOF4 since lone pair repulsion is more than two electron pairs in double bond
In both SF4 and SOF4 the hybridisation state of S is same sp3d
The OCF bond angle on COF2 is more than 120° since two electron pairs in double bond repel more than one electron pair in C-F bonds.
Due to repulsion by lone pair the axial FSF bond angle is less than 180°

NATA Mock Test - 10 - Question 11

Let a, b and c be positive constants. The value of ‘a’ in terms of ‘c’ if the value of integral   is independent of ‘b’ equals

Detailed Solution for NATA Mock Test - 10 - Question 11

NATA Mock Test - 10 - Question 12

Let  are three vectors along the adjacent edges of a tetrahedron,  if  and  then volume of tetrahedron is

Detailed Solution for NATA Mock Test - 10 - Question 12

NATA Mock Test - 10 - Question 13

Let ω be a complex cube root of unity with ω ≠ 1. A fair die is thrown three times. If r1, r2 and r3 are the numbers obtained on the die, then the probability that

Detailed Solution for NATA Mock Test - 10 - Question 13

A dice is thrown thrice n(s)=6 x 6 x 6

Favorable events, ωr1 + ωr2 + ωr3

(r1​,r2​,r3​) are ordered 3 triples which can take values.

(1,2,3)(1,5,3)(4,2,3)(4,5,3)

(1,2,6)(1,5,6)(4,2,6)(4,5,6)

i.e, 8 ordered pairs and each can be arranged in 3! ways.

3!=6

NATA Mock Test - 10 - Question 14

A ray of light travels along a line y = 4 and strikes the surface of a curves y2 = 4 (x + y), then equations of the line along which reflected ray travel is

Detailed Solution for NATA Mock Test - 10 - Question 14

Focus is (0,2)
Point os interflection property of parabola, reflected ray passes through the focus.
X = 0 is required line.

NATA Mock Test - 10 - Question 15

A triangle ABC having vertices A (5, 1), B (–1, –7) and C (1, 4) respectively. If L1 be the line mirror passing through C and parallel to AB, a light ray emanating from point A and goes along the direction of internal bisector of the angle A, which meets the mirror at E and BC at D. Then sum of the area of ΔACE and ΔABC is

Detailed Solution for NATA Mock Test - 10 - Question 15

NATA Mock Test - 10 - Question 16

Select a figure from amongst the Answer Figures which will continue the same series as

established by the five Problem Figures

Explanations:

In each step, element at the upper-right position gets enlarged, inverts vertically and reaches the lower-left corner; the existing element at the lower-left position, is lost and a new small element appears at the upper-right position.

NATA Mock Test - 10 - Question 17

Select a figure from amongst the Answer Figures which will continue the same series as

established by the five Problem Figures.

Explanations:

In each step, the elements move in the sequence.

NATA Mock Test - 10 - Question 18

Choose the figure which is different from the rest.

Explanations:

The pins, equal in number to the number of sides in the main figure are attached to the midpoint of a side of the main figure in case of figures (2), (3), (4) and (5). In fig. (1), these pins are attached to a vertex of the main figure.

NATA Mock Test - 10 - Question 19

Choose the figure which is different from the rest.

Explanations:

In all other figures, the two line segments are parallel to each other.

NATA Mock Test - 10 - Question 20

Choose the alternative which is closely resembles the mirror image of the given

combination.

Explanations:

NATA Mock Test - 10 - Question 21

Choose the alternative which is closely resembles the mirror image of the given

combination.

Explanations:

NATA Mock Test - 10 - Question 22

Find out the alternative figure which contains figure (X) as its part.

Explanations:

NATA Mock Test - 10 - Question 23

Find out the alternative figure which contains figure (X) as its part.

Explanations:

NATA Mock Test - 10 - Question 24

Select a suitable figure from the four alternatives that would complete the figure matrix.

Explanations:

The third figure in each row comprises of parts which are not common to the first two figures.

NATA Mock Test - 10 - Question 25

Select a suitable figure from the four alternatives that would complete the figure matrix.

Explanations:

In each row, the second figure is obtained from the first figure by adding two mutually perpendicular line segments at the centre and the third figure is obtained from the first figure by adding four circles outside the main figure.

NATA Mock Test - 10 - Question 26

Choose a figure which would most closely resemble the unfolded form of Figure (Z).

Explanations:

NATA Mock Test - 10 - Question 27

Choose a figure which would most closely resemble the unfolded form of Figure (Z).

Explanations:

NATA Mock Test - 10 - Question 28

Group the given figures into three classes using each figure only once.

Explanations:

(1, 4), (2, 3) and (5, 6) are three different pairs of identical figures.

NATA Mock Test - 10 - Question 29

Select the alternative which represents three out of the five alternative figures which when fitted into each other would form a complete square.

Explanations:

NATA Mock Test - 10 - Question 30

Select a suitable figure from the Answer Figures that would replace the question mark (?).

Explanations:

NATA Mock Test - 10 - Question 31

Find the number of triangles in the given figure.

Explanations:

The figure may be labelled as shown.

The simplest triangles are AHG, AIG, AIB, JFE, CJE and CED i.e. 6 in number.

The triangles composed of two components each are ABG, CFE, ACJ and EGI i.e. 4 in number.

The triangles composed of three components each are ACE, AGE and CFD i.e. 3 in number.

There is only one triangle i.e. AHE composed of four components Therefore, There are 6 + 4 + 3 + 1 = 14 triangles in the given figure.

NATA Mock Test - 10 - Question 32

Identify the figure that completes the pattern.

Explanations:

NATA Mock Test - 10 - Question 33

Find out from amongst the four alternatives as to how the pattern would appear when the

transparent sheet is folded at the dotted line.

Explanations:

NATA Mock Test - 10 - Question 34

Choose the set of figures which follows the given rule.

Rule: Closed figures losing their sides and open figures gaining their sides.

Explanations:

NATA Mock Test - 10 - Question 35

Select the figure which satisfies the same conditions of placement of the dots as in Figure-X.

Explanations:

In fig. (X), one of the dots lies in the region common to the circle and the square only and the other dot lies in the region common to all the three figures -the circle, the square and the triangle. In each of the alternatives (1), (2) and (3), there is no region common to the square

and the circle only. Only fig. (4) consists of both the types of regions.

NATA Mock Test - 10 - Question 36

The first Indian University was opened in 1857 was in

Explanations:

University of Calcutta was the first university of India located in Kolkata West Bengal it was established in 24 Jan 1857. it was the first Western style University in whole Asia that time.

NATA Mock Test - 10 - Question 37

The largest dry rock in India is situated at

Explanations: The largest dry rock in India is situated at Marmugao

NATA Mock Test - 10 - Question 38

The largest Indian State by area is

Explanations:

The largest Indian State by area is Rajasthan (342,239 km2,)

NATA Mock Test - 10 - Question 39

Which is the oldest monuments?

Explanations: Ajanta Caves is the oldest monuments.The Ajanta Caves are 30 (approximately) rock-cut Buddhist cave monuments which date from the 2nd century BCE to about 480 CE in Aurangabad district of Maharashtra state of India

NATA Mock Test - 10 - Question 40

Ms. Harita Kaur has the distinction of being the first Indian Women

Explanations:

Flight Lt. Harita Kaur Deol (10 November 1971 – 24 December 1996) was a pilot with the Indian Air Force.She was the first woman pilot to fly solo in the Indian Air Force. The flight was on 2 September 1994 in an Avro HS-748, when she was 22 years old

NATA Mock Test - 10 - Question 41

The largest and the oldest museum of India is located in the state/union territory of

Explanations:

The largest and oldest museum in India and has rare collections of antiques, armour and ornaments, fossils,skeletons, mummies and Mughal paintings. It was founded by the Asiatic Society of Bengal in Kolkata (Calcutta), India, in 1814 C.E. The founder curator was Nathaniel Wallich, a Danish botanist.

NATA Mock Test - 10 - Question 42

The first Indian Satellite launched from Soviet Cosmodrome is?

Explanations:

The first Indian Satellite launched from Soviet Cosmodrome is Aryabhatta . It was launched by India on 19 April 1975

NATA Mock Test - 10 - Question 43

The first nuclear reactor in India is

Explanations:

Apsara is the oldest of India's research reactors. The reactor was designed by the Bhabha Atomic Research Center (BARC) and built with assistance from the United Kingdom (which also provided the initial fuel supply consisting of 80 percent enriched uranium). Apsara first

went critical on 4 August 1956.

NATA Mock Test - 10 - Question 44

The first person of Indian origin to be appointed as a judge in U.S. is

Explanations: The first person of Indian origin to be appointed as a judge in U.S. is Ridhi Desai

NATA Mock Test - 10 - Question 45

Largest Mint in India is located at

Explanations:

Largest Mint in India is located at Kolkata

NATA Mock Test - 10 - Question 46

Arrange the given words in the sequence in which they occur in the dictionary.

1. Necrology

2. Necromancy

3. Necropolis

4. Necrophilia

Explanations: Arrangement of words as per order in the dictionary:

1 , 2 , 4 , 3 .

NATA Mock Test - 10 - Question 47

What will be the day of the week 15th August, 2010?

Explanations:

15th Aug 2010 = (2009 years + period from 1-Jan- 2010 to 15-Aug-2010)

We know that number of odd days in 400 years = 0

Hence the number of odd days in 2000 years = 0 (Since

2000 is a perfect multiple of 400)

Number of odd days in the period 2001-2009 = 7normal

years + 2leap year

= 7 x 1 + 2 x 2 = 11 = (11 - 7x1) odd day = 4 odd day

Days from1-Jan-2010 to15-Aug-2010 = 31 (Jan) + 28

(Feb) + 31 (Mar) + 30 (Apr) + 31(may) +

30(Jun) +31(Jul) + 15(Aug) = 227

227days = 32weeks + 3day =3 odd days

Total number of odd days = (0 + 4 + 3) = 7 odd days = 0

odd day

0 odd day = Sunday. Hence 15th August, 2010 is Sunday.

NATA Mock Test - 10 - Question 48

Find the wrong number in the given series.

10, 80, 72, 46, 521, 621, 343

Explanations:

NATA Mock Test - 10 - Question 49

Direction : In each of the following questions, select the related word/letters/number from the given alternatives. EV: BG::PS :?

Explanations:

NATA Mock Test - 10 - Question 50

Direction: In each of the following questions, select the related word/letters/number from the given alternatives. Cricket : LBW : : Hockey : ?

Explanations:

LBW is a term of cricket. Similarly, ‘Stroke’ is a term of Hocky.

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