1
JEE Advanced 2019 Paper 1 Offline
Numerical
+3
-0
A parallel plate capacitor of capacitance C has spacing d between two plates having area A. The region between the plates is filled with N dielectric layers, parallel to its plates, each with thickness, $$\delta = {d \over N}$$. The dielectric constant of the mth layer is $${K_m} = K\left( {1 + {m \over N}} \right)$$. For a very large N(>103), the capacitance C is $$\alpha \left( {{{K{\varepsilon _0}A} \over {d\ln 2}}} \right)$$

The value of $$\alpha$$ will be ..................

[$$\in$$0 is the permittivity of free space.]
2
JEE Advanced 2015 Paper 2 Offline
Numerical
+4
-0
In the following circuit, the current through the resistor R(=2$$\Omega$$) is I amperes. The value of I is :
3
JEE Advanced 2014 Paper 1 Offline
Numerical
+3
-0
A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 $$\Omega$$ resistance, it can be converted into a voltmeter of range 0-30V. If connected to a $${{2n} \over {249}}\Omega$$ resistance, it becomes an ammeter of range 0-1.5 A. The value of n is
4
IIT-JEE 2011 Paper 2 Offline
Numerical
+3
-0

Two batteries of different emfs and different internal resistance are connected as shown. The voltage across AB in volts is __________.