1
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

Consider an infinite one-dimensional wire carrying a uniform current $I$ as shown in the figure. A square loop of side $a$ is initially placed such that the center of the loop is at a distance $R$ from the wire, where $R>\frac{a}{2}$. The square loop is then moved rightwards with a uniform speed as shown in the figure. What is the induced emf in the loop as a function of time $t$ ?

IAT (IISER) 2020 Physics - Electromagnetic Induction Question 1 English

A
$\frac{\mu_0 I a^2 v}{2 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
B
$\frac{3 \mu_0 I a^2 v}{4 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
C
$\frac{\mu_0 I a^2 v}{4 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
D
$\frac{3 \mu_0 I a^2 v}{2 \pi\left[(R+v t)^2-\frac{a^2}{4}\right]}$
2
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

The electric field of an electromagnetic wave is given by $\vec{E}(x, t)=E_0 \hat{z} \cos (a x+b t)$

If $c$ is the speed of light, then the value of $b$ is

A
$a c$
B
$2 \pi a c$
C
$\sqrt{2} a c$
D
$\frac{a c}{2 \pi}$
3
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1

An electron of mass $m_e$ has a speed $u_n$ in the $n^{\text {th }}$ Bohr orbit of a hydrogen atom. The normalized speed $V_n$ is given as $V_n=u_n / c=1 / 685$ and the mass of the electron in the units of energy is given as $M_e=m_e c^2=0.51 \times 10^6 \mathrm{eV}$, where $c$ is the velocity of light in a vacuum. It is given that $\frac{e^2}{2 \epsilon_0 h c}=1 / 137$. The Planck's constant h is given as $4.13 \times 10^{-15} \mathrm{eV}-\mathrm{sec}$. The electron makes a transition from $n^{\text {th }}$ orbit to the ground state of the atom. What is the frequency of the emitted photon?

A
$3.29 \times 10^{15} \mathrm{~Hz}$
B
$2.47 \times 10^{15} \mathrm{~Hz}$
C
$2.93 \times 10^{15} \mathrm{~Hz}$
D
$3.16 \times 10^{15} \mathrm{~Hz}$
4
IAT (IISER) 2020
MCQ (Single Correct Answer)
+4
-1
In the photoelectric effect experiment, the frequency of the incident light is changed from red to blue while keeping the energy per unit area per unit time of the incident radiation fixed. What will happen to the saturation current?
A
Saturation current doesn't depend on frequency and therefore will be same for red and blue light
B
Saturation current depends on intensity and therefore will be same for red and blue light
C
Saturation current for blue colour light is larger than red colour light
D
Saturation current for blue colour light is smaller than red colour light
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