Superposition of Electric Fields

Q. In an experiment to determine accelration due to gravity by simplw pendulum , a student commits 1% positive error in the measurement of lrngth and 3% negative error in time then % error in g will be (1) 2% (2) 4% (3)7% (4) 10

Q. If two masses m1 and m2 are connected at the two ends of a spring of constant k, then the time period of small oscillations of either mass is given

Q. Consider a small positive charge $q$ and mass $m$ placed as shown, between two positive charges $Q$ (fixed) each. For a small push given to $q$ as shown, find the time period of simple harmonic oscillations.

1. $T=2\pi \sqrt{\frac{m{a}^2\pi {\in }_0}{Qq}}$
2. $T=2\pi \sqrt{\frac{m{a}^2\pi {\in }_0}{Qq}}$
3. $T=2\pi \sqrt{\frac{m{a}^3\pi {\in }_0}{3Qq}}$
4. $T=2\pi \sqrt{\frac{3m{a}^3\pi {\in }_0}{Qq}}$

Q. Three charges 4q, Q and q are in a straight line in the position of 0, $\frac{l}{2}$ and l respectively. The resultant force on q will be zero, if Q =

1. -q
2. -2q
3. $-\frac{q}{2}$
4. 4q

Q. Which is conservation law of nature ? a) Law of conservation of charge b)Law of conservation of linear momentum c)Law of conservation of energy d) All of these

Q. If momentum is increased by 10% and mass is decreased by 20% find percentage charge on kinetic energy

Q. There are two equal but opposite charges in space. The field at the mid point of the two charges is times the field due to individual charges.

1. two
2. three
3. four
4. zero

Q. The electric potential $\left(V\right)$ in $\text{volts}$ varies with $x$ $\left(\text{in meters}\right)$ according to the relation $V=5+4x^2$. The force experienced by a negative charge of $2\mu C$ located at $x=0.5\text{m}$ is

1. $6\times {10}^{-6}\text{N}$
2. $2\times {10}^{-6}\text{N}$
3. $8\times {10}^{-6}\text{N}$
4. $4\times {10}^{-6}\text{N}$