NTA JEE Main 12th April 2023 Shift 1

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If an electric dipole of dipole moment $$30 \times 10^{-5}$$ C m is enclosed by a closed surface, the net flux coming out of the surface will be zero.
Reason R : Electric dipole consists of two equal and opposite charges.
In the light of above, statements, choose the correct answer from the options given below.

A wire of resistance $$160 \ \Omega$$ is melted and drawn in a wire of one-fourth of its length. The new resistance of the wire will be

Given below are two statements:
Statement I : The diamagnetic property depends on temperature.
Statement II : The induced magnetic dipole moment in a diamagnetic sample is always opposite to the magnetising field.
In the light of statements, choose the correct answer from the options given below

Given below are two statements:
Statement I : When the frequency of an AC source in a series LCR circuit increases, the current in the circuit first increases, attains a maximum value and then decreases.
Statement II : In a series LCR circuit, the value of power factor at resonance is one.
In the light of statements, choose the most appropriate answer from the options given below.

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : EM waves used for optical communication have longer wavelengths than that of microwave, employed in Radar technology.
Reason R : Infrared EM waves are more energetic than microwaves, (used in Radar)
In the light of above, statements, choose the correct answer from the options given below.

An ice cube has a bubble inside. When viewed from one side the apparent distance of the bubble is $$12$$ cm. When viewed from the opposite side, the apparent distance of the bubble is observed as $$4$$ cm. If the side of the ice cube is $$24$$ cm, the refractive index of the ice cube is

A proton and an $$\alpha$$-particle are accelerated from rest by $$2$$ V and $$4$$ V potentials, respectively. The ratio of their de-Broglie wavelength is :

A $$12.5$$ eV electron beam is used to bombard gaseous hydrogen at room temperature. The number of spectral lines emitted will be:

In an n-p-n common emitter (CE) transistor the collector current changes from $$5$$ mA to $$16$$ mA for the change in base current from $$100 \ \mu$$A and $$200 \ \mu$$A, respectively. The current gain of transistor is _____.

The amplitude of $$15 \sin(1000 \ \pi t)$$ is modulated by $$10 \sin(4 \ \pi t)$$ signal. The amplitude modulated signal contains frequencies of
A. 500 Hz
B. 2 Hz
C. 250 Hz
D. 498 Hz
E. 502 Hz
Choose the correct answer from the options given below