If the earth suddenly shrinks to \(\frac{1}{ 64}\) th of its original volume with its mass remaining the same, the period of rotation of earth becomes \(\frac{24}{ x}\) h. The value of x is .
Given below are two statements: one is labeled as Statement (1) and the other is labeled as Statement (2).Statement (1): Maximum power is dissipated in a circuit containing an inductor, a ca pacitor and a resistor connected in series with an AC source, when resonance occursStatement (2): Maximum power is dissipated in a circuit containing pure resistor due to zero phase difference between current and voltage.In the light of the above statements, choose the correct option:
Find the equivalent capacitance across points A and B in the given electric circuit.
A block of mass 5 kg starting from rest pulled up on a smooth incline plane making an angle of 30◦ with horizontal with an affective acceleration of 1 ms−2. The power delivered by the pulling force at t = 10 s from the starts is W. [use g=10 ms−2] (Calculate the nearest integer value)
Proton and electron have equal kinetic energy, the ratio of de-Broglie wavelength of proton and electron is \(\frac{1}{x}\). Find x. (Mass of proton 1849 times mass of electron)