To solve this assertion-reason type question, we need to evaluate the truth of each statement and their relationship to each other.
Assertion (A): The deflection in a galvanometer is directly proportional to the current passing through it.
The assertion states a fundamental principle of how galvanometers work. When a current passes through the coil of a galvanometer, it experiences a torque due to the magnetic field, causing a deflection which is generally proportional to the current.
Therefore, the assertion is true.
Reason (R): The coil of a galvanometer is suspended in a uniform radial magnetic field.
The reason describes the specific construction of a galvanometer where the coil is placed in a uniform radial magnetic field. This design ensures that the torque experienced by the coil is proportional to the current, regardless of its position, as the angle between the plane of the coil and magnetic field is always constant.
Hence, the reason is also true.
While the reason correctly describes an aspect of the galvanometer's design, it is not the direct explanation for why the deflection is proportional to the current. The deflection being proportional to the current is a result of the linear relationship between current, magnetic field, and torque, not merely due to the coil being in a radial field.
Therefore, the correct conclusion is: Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
Two long parallel wires X and Y, separated by a distance of 6 cm, carry currents of 5 A and 4 A, respectively, in opposite directions as shown in the figure. Magnitude of the resultant magnetic field at point P at a distance of 4 cm from wire Y is \( 3 \times 10^{-5} \) T. The value of \( x \), which represents the distance of point P from wire X, is ______ cm. (Take permeability of free space as \( \mu_0 = 4\pi \times 10^{-7} \) SI units.) 
A particle of charge $ q $, mass $ m $, and kinetic energy $ E $ enters in a magnetic field perpendicular to its velocity and undergoes a circular arc of radius $ r $. Which of the following curves represents the variation of $ r $ with $ E $?
Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If oxygen ion (O\(^{-2}\)) and Hydrogen ion (H\(^{+}\)) enter normal to the magnetic field with equal momentum, then the path of O\(^{-2}\) ion has a smaller curvature than that of H\(^{+}\).
Reason R : A proton with same linear momentum as an electron will form a path of smaller radius of curvature on entering a uniform magnetic field perpendicularly.
In the light of the above statements, choose the correct answer from the options given below
Alexia Limited invited applications for issuing 1,00,000 equity shares of ₹ 10 each at premium of ₹ 10 per share.
The amount was payable as follows:
Applications were received for 1,50,000 equity shares and allotment was made to the applicants as follows:
Category A: Applicants for 90,000 shares were allotted 70,000 shares.
Category B: Applicants for 60,000 shares were allotted 30,000 shares.
Excess money received on application was adjusted towards allotment and first and final call.
Shekhar, who had applied for 1200 shares failed to pay the first and final call. Shekhar belonged to category B.
Pass necessary journal entries for the above transactions in the books of Alexia Limited. Open calls in arrears and calls in advance account, wherever necessary.
