30
A force \(F = αt^2 + βt\) acts on a particle. The dimensionless factor is:
Correct Answer:B
Explanation:
Dimensional analysis shows \(\frac{αt}{β}\) is dimensionless (units cancel out).
31
A bob is whirled in a horizontal plane by means of a string with an initial speed of ω rpm. The tension in the string is T. If speed becomes 2ω while keeping the same radius, the tension in the string becomes:
Correct Answer:B
Explanation:
Tension in circular motion is proportional to the square of the angular velocity (\(T ∝ ω^2\)). When ω doubles, tension becomes \(4T\).
32
A particle moving with uniform speed in a circular path maintains:
Correct Answer:D
Explanation:
In uniform circular motion, the direction of velocity and acceleration continuously changes, making them vary.
33
A logic circuit provides the output Y as per the given truth table. The expression for the output Y is:
Correct Answer:C
Explanation:
From the truth table, Y matches the complement of B (\(\overline{B}\)).
34
In the diagram with solenoids and a moving bar magnet, the direction of induced current in solenoid-1 and solenoid-2, respectively, are:
Correct Answer:A
Explanation:
Lenz's law determines the direction of induced current to oppose the change in magnetic flux.
35
Given the Assertion (A) and Reason (R) about dipole potential, choose the correct answer:
Correct Answer:C
Explanation:
Assertion (A) is correct for dipole potential, but Reason (R) incorrectly states the formula for axial point potential.