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JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
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A 400 g solid cube having an edge of length 10 cm floats in water. How much volume of the cube is outside the water?

(Given: density of water = 1000 kg m-3)

A

400 cm3

B

600 cm3

C

1400 cm3

D

4000 cm3

2
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Knowing initial position $\mathrm{x}_0$ and initial momentum $p_0$ is enough to determine the position and momentum at any time $t$ for a simple harmonic motion with a given angular frequency $\omega$.

Reason (R) : The amplitude and phase can be expressed in terms of $\mathrm{X}_0$ an $\mathrm{p}_0$.

In the light of the above statements, choose the correct answer from the options given below :

A

(A) is true but (R) is false

B

Both (A) and (R) are true but (R) is NOT the correct explanation of (A)

C

(A) is false but (R) is true

D

Both (A) and (R) are true and (R) is the correct explanation of (A)

3
JEE Main 2025 (Online) 28th January Evening Shift
MCQ (Single Correct Answer)
+4
-1
Change Language

A parallel plate capacitor of capacitance 1 µF is charged to a potential difference of 20 V. The distance between plates is 1 µm. The energy density between plates of capacitor is :

A

$1.8 \times 10^3$ J/m3

B

$2 \times 10^2$ J/m3

C

$2 \times 10^{-4}$ J/m3

D

$1.8 \times 10^5$ J/m3

4
JEE Main 2025 (Online) 28th January Evening Shift
Numerical
+4
-1
Change Language
A thin transparent film with refractive index 1.4 , is held on circular ring of radius 1.8 cm . The fluid in the film evaporates such that transmission through the film at wavelength 560 nm goes to a minimum every 12 seconds. Assuming that the film is flat on its two sides, the rate of evaporation is ____________ $\pi\times 10^{-13} \mathrm{~m}^3 / \mathrm{s}$.
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