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1
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-0.75
A student performs an experiment for determination of $g\left(=\frac{4 \pi^2 l}{\mathrm{~T}^2}\right), l=1 m$, and he commits an error of $\Delta l$. For T , he takes the time of $n$ oscillations with the stop watch of least count $\Delta \mathrm{T}$ and he commits a human error of 0.1 s . For which of the following data, the measurement of $g$ will be most accurate?
A
$$\begin{array}{l}\triangle\mathcal l\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\triangle\mathrm T\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm n\\5\;\mathrm{mm}\;\;\;\;\;\;\;\;\;\;\;\;0.2\;\sec\;\;\;\;\;\;\;\;\;\;\;\;10\end{array}$$
B
$$\begin{array}{l}\triangle\mathcal l\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\triangle\mathrm T\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm n\\5\;\mathrm{mm}\;\;\;\;\;\;\;\;\;\;\;\;0.2\;\sec\;\;\;\;\;\;\;\;\;\;\;\;20\end{array}$$
C
$$\begin{array}{l}\triangle\mathcal l\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\triangle\mathrm T\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm n\\5\;\mathrm{mm}\;\;\;\;\;\;\;\;\;\;\;\;0.1\;\sec\;\;\;\;\;\;\;\;\;\;\;\;10\end{array}$$
D
$$\begin{array}{l}\triangle\mathcal l\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\triangle\mathrm T\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\;\mathrm n\\1\;\mathrm{mm}\;\;\;\;\;\;\;\;\;\;\;\;0.1\;\sec\;\;\;\;\;\;\;\;\;\;\;\;50\end{array}$$
2
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-0

Match the following columns.

Column I Column II
(A) Dielectric ring uniformly charged. (P) Time independent electrostatic field out of system.
(B) Dielectric ring uniformly charged rotating with angular velocity $$\omega$$. (Q) Magnetic field.
(C) Constant current in ring $$io$$ (R) Induced electric field.
(D) $$i=i_0\cos\omega t$$ (S) Magnetic moment.

A
A $$\to$$ (P); B $$\to$$ (Q, S); C $$\to$$ (Q, S); D $$\to$$ (Q, R, S)
B
A $$\to$$ (P); B $$\to$$ (S); C $$\to$$ (Q, S); D $$\to$$ (R, S)
C
A $$\to$$ (P); B $$\to$$ (Q); C $$\to$$ (Q, S); D $$\to$$ (S)
D
A $$\to$$ (P); B $$\to$$ (S); C $$\to$$ (Q); D $$\to$$ (Q, R, S)
3
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

A solid sphere of radius $R$ has moment of inertia $I$ about its geometrical axis. If it is melted into a disc of radius $r$ and thickness $t$. If its moment of inertia about the tangential axis (which is perpendicular to plane of the disc), is also equal to $I$, then the value of $r$ is equal to

IIT-JEE 2006 Physics - Rotational Motion Question 8 English
A

$\frac{2}{\sqrt{15}} R$

B

$\frac{2}{\sqrt{5}} R$

C

$\frac{3}{\sqrt{15}} R$

D

$\frac{\sqrt{3}}{\sqrt{15}} R$

4
IIT-JEE 2006
MCQ (Single Correct Answer)
+3
-1

In the following circuits, it is given that $\mathrm{R}_1=1 \Omega, \mathrm{R}_2=2 \Omega, \mathrm{C}_1=2 \mu \mathrm{~F}$ and $\mathrm{C}_2=4 \mu \mathrm{~F}$.

IIT-JEE 2006 Physics - Capacitor Question 2 EnglishThe time constants (in $\mu \mathrm{s}$ ) for the circuits I, II, III are, rcspectively.
A

$18,8 / 9,4$

B

$18,4,8 / 9$

C

$4,8 / 9,18$

D

$8 / 9,18,4$

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