1
JEE Advanced 2025 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Change Language

A conducting square loop initially lies in the $X Z$ plane with its lower edge hinged along the $X$-axis. Only in the region $y \geq 0$, there is a time dependent magnetic field pointing along the $Z$-direction, $\vec{B}(t)=B_0(\cos \omega t) \hat{k}$, where $B_0$ is a constant. The magnetic field is zero everywhere else. At time $t=0$, the loop starts rotating with constant angular speed $\omega$ about the $X$ axis in the clockwise direction as viewed from the $+X$ axis (as shown in the figure). Ignoring self-inductance of the loop and gravity, which of the following plots correctly represents the induced e.m.f. $(V)$ in the loop as a function of time:

JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 2 English
A
JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 2 English Option 1
B
JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 2 English Option 2
C
JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 2 English Option 3
D
JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 2 English Option 4
2
JEE Advanced 2025 Paper 1 Online
MCQ (Single Correct Answer)
+3
-1
Change Language

Figure 1 shows the configuration of main scale and Vernier scale before measurement. Fig. 2 shows the configuration corresponding to the measurement of diameter D of a tube. The measured value of D is:

JEE Advanced 2025 Paper 1 Online Physics - Units & Measurements Question 2 English
A

0.12 cm

B

0.11 cm

C

0.13 cm

D

0.14 cm

3
JEE Advanced 2025 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language

A conducting square loop of side $L$, mass $M$ and resistance $R$ is moving in the $X Y$ plane with its edges parallel to the $X$ and $Y$ axes. The region $y \geq 0$ has a uniform magnetic field, $\vec{B}=B_0 \widehat{k}$. The magnetic field is zero everywhere else. At time $t=0$, the loop starts to enter the magnetic field with an initial velocity $v_0 \hat{\jmath} \mathrm{~m} / \mathrm{s}$, as shown in the figure. Considering the quantity $K=\frac{B_0^2 L^2}{R M}$ in appropriate units, ignoring self-inductance of the loop and gravity, which of the following statements is/are correct:

JEE Advanced 2025 Paper 1 Online Physics - Electromagnetic Induction Question 1 English

A

If $v_0 = 1.5KL$, the loop will stop before it enters completely inside the region of magnetic field.

B

When the complete loop is inside the region of magnetic field, the net force acting on the loop is zero.

C

If $v_0 = \frac{KL}{10}$, the loop comes to rest at $t = \left(\frac{1}{K}\right) \ln\left(\frac{5}{2}\right)$.

D

If $v_0 = 3KL$, the complete loop enters inside the region of magnetic field at time $t = \left(\frac{1}{K}\right) \ln\left(\frac{3}{2}\right)$.

4
JEE Advanced 2025 Paper 1 Online
MCQ (More than One Correct Answer)
+4
-2
Change Language

Length, breadth and thickness of a strip having a uniform cross section are measured to be 10.5 cm, 0.05 mm, and 6.0 μm, respectively. Which of the following option(s) give(s) the volume of the strip in cm3 with correct significant figures:

A

$3.2 \times 10^{-5}$

B

$32.0 \times 10^{-6}$

C

$3.0 \times 10^{-5}$

D

$3 \times 10^{-5}$

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