MET Mock Test - 3 - JEE MCQ

In the following question, a Statement of Assertion (A) is given followed by a corresponding Reason (R) just below it. Read the Statements carefully and mark the correct answer-
Assertion(A):Two bodies 1 and 2 exerting forces on each other.Force exerted on the body 1 by body 2 is F ^→ 12 and that exerted on the body 2 (by body 1) is F ^→ 21 . Then F ^→ 12 = − F ^→ 21 .
Reason(R):Force F ^→ 12 is of action and force F ^→ 21 is of reaction.

The M.I. of a body about the given axis is 1.2 kg x m² initially the body is at rest. In order to produce a rotational kinetic energy of 1500 joule an angular acceleration of 25 rad/sec²  must be applied about that axis for a duration of

The radionuclide ⁵⁶Mn is being produced in a cyclotron at a constant rate P by bombarding a manganese target with deutrons. ⁵⁶Mn has a half life of 2.5 hours and the target contains large number of only the stable manganese isotope ⁵⁵Mn. The reaction that produces ⁵⁶Mn is:

⁵⁵Mn+d→⁵⁶Mn+P

After being bombarded for a long time, the activity of ⁵⁶Mn becomes constant equal to 13.86×10s⁻¹. (Use ln2 = 0.693; Avogadro number = 6×10²³ atomic weight of ⁵⁶Mn = 56gm/mole)

Q. After a long time bombardment, number of ⁵⁶Mn nuclei present in the target depends upon 
(a) The number of ⁵⁶Mn nuclei present at the start of the process 
(b) Half life of the ⁵⁶Mn
(c) The constant rate of production P

A biconvex thin lens is prepared from glass of refractive index µ₂ = 3/2. The two converging surface have equal radii of  20cm each. One of the surface is silvered from outside to make it reflecting. It is placed in a medium of refractive index µ₁ = 5/3. This system will behave as concave mirror of focal length f, find value of |f| in cm.

A photosensitive surface is irradiated with light of wavelength λ, the stopping potential is V. When the same surface is irradiated with the light of wavelength 2λ, stopping potential is V/3. Then the ratio of threshold wavelength (λ_max) and the λ is

One of the circuits for the measurement of resistance by potentiometer is shown. The galvanometer is connected at point A and zero deflection is observed at length PJ = 30 cm. In second case the secondary cell is changed. Take E_S = 10 V and r = 1Ω  in 1^st reading and E_S = 5V and r = 2Ω in 2^nd reading. In second case, the zero deflection is observed at length PJ = 10 cm. What is the resistance R (in ohm)?

A uniform triangular plate of triangular area 1m², base length 60 cm and thickness 10 mm (prism like shape) is lying vertically on a smooth ground as shown in figure. Find maximum value of cotθ for which it does not topple.

Scurvy is caused due to the deficiency of vitamin

Vinegar made from cane sugar, now-a-days synthetically contains

Calculate Δ H in KJ for the following reaction C(s)+ O₂ g → CO₂ g Given that
H₂O g + C g → CO g + H₂ g , Δ H = + 131 k J
CO g + 1/2 O₂ g → CO₂ g , Δ H = − 282 k J
H₂ g + 1/2 O₂ g →H₂O g , Δ H = − 242 k J

Which of the following will show geometrical isomerism ?

Which of the following ingredients is not used in sun burn creams?

One mole ideal monoatomic gas is heated in two different processes according to path AB and AC. If temperature of state B and state C are equal. Calculate q_AC/q_AB

What is the molecular weight of the final product in the following reaction sequence

The sum of Number of unpaired electrons in
[COCl₆]^–3, [Cr(NH₃)₆]⁺³ , [Zn(NH₃)₄]⁺² →

Solve the inequality 2(2x+3) − 10 < 6(x−2) for real x

If the points (2,0), (0,1), (4,5) and (0,k) are concyclic, then the value of k is

The value of 

The number of solutions of the equation tan²x –sec⁶x + 1 = 0 in [0, 4π] is :-

A sentence has been given where its start has been fixed but its other parts have been jumbled up. You are required to rearrange these parts which are labelled (P), (Q), (R), and (S) to produce the correct sentence. Choose the proper sequence and answer.

To maximize _____

even before signing the joint venture agreement (P) / the parties to a joint venture agreement(Q) / the chances of success (R) / should jointly prepare a detailed business plan (S).

Which one of the following is the correct sequence?

Out of the four alternatives choose the one which can be substituted for the given words/sentence in the question and mark your answer.
Belief in many gods.

The sentence (given below) is divided into three sections marked A, B and C. Read the sentence carefully and choose the section that contains an error. If there is no error in the sentence, choose (D).
He is the same man (A)/who has helped us (B)/in our work. (C)/No error. (D)

In the following questions, four groups of words are given. In each group, one word is misspelt. Find the misspelt word.

Read the following information and answer the following question based on it.

Generation gap is more obvious in many of the organisation today, including all the financial institutions which have gone digital.This is because such institution prefer to employ well qualified persons with or without experience, through the lateral entry channel as a result co-existence of experienced employees with highly qualified new candidate has become increasingly difficult.

Q. Which conclusion follows the given paragraph?

Rahul walks 8 km towards West, then turn to his left and walks 6 km. Rahul is how far (shortest distance) and in which direction from starting point?

Which of the diagrams correctly represent the items mentioned in the following question?

Women, Mother, Players:

Consider the given statement to be true and decide which of the following conclusion logically follow from the statement? 

Statement:  Weight is also a Force. 

Conclusions: 

1. The unit of weight is Newton. 

2. The unit of weight is kilograms.