Charges of $+\frac{10}{3} \times 10^{-9} \text{ C}$ are placed at each of the four corners of a square of side $8 \text{ cm}$. The potential at the intersection of the diagonals is:

What is the equivalent capacitance of the system of capacitors between $A$ and $B$?

Half-life of a radioactive substance $A$ is two times the half-life of another radioactive substance $B$. Initially,the number of nuclei of $A$ and $B$ are $N_A$ and $N_B$ respectively. After three half-lives of $A$,the number of nuclei of both are equal. Then the ratio $\frac{N_A}{N_B}$ is

If $f: R \rightarrow R$ is defined by $f(x)=x-[x]-\frac{1}{2}$ for $x \in R$,where $[x]$ is the greatest integer not exceeding $x$,then $\{x \in R: f(x)=\frac{1}{2}\}$ is equal to :

$x-$ अक्ष के अनुदिश गतिमान एक तरंग का समीकरण $y(x, t) = 0.005 \cos(\alpha x - \beta t)$ द्वारा दिया गया है। यदि तरंग की तरंगदैर्घ्य $0.08 \ m$ और आवर्तकाल $2.0 \ s$ है,तो उपयुक्त इकाइयों में $\alpha$ और $\beta$ के मान क्या होंगे?

Which of the following metal carbides is known as a methanide?