jee-main 2010 Q17

jee-main · India Not Maths
Let $C$ be the capacitance of a capacitor discharging through a resistor R. Suppose $t _ { 1 }$ is the time taken for the energy stored in the capacitor to reduce to half its initial value and $t _ { 2 }$ is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio $t _ { 1 } / t _ { 2 }$ will be
(1) 1
(2) $\frac { 1 } { 2 }$
(3) $\frac { 1 } { 4 }$
(4) 2
Let $C$ be the capacitance of a capacitor discharging through a resistor R. Suppose $t _ { 1 }$ is the time taken for the energy stored in the capacitor to reduce to half its initial value and $t _ { 2 }$ is the time taken for the charge to reduce to one-fourth its initial value. Then the ratio $t _ { 1 } / t _ { 2 }$ will be\\
(1) 1\\
(2) $\frac { 1 } { 2 }$\\
(3) $\frac { 1 } { 4 }$\\
(4) 2