Class 12th

A cell E₁ of emf 6V and internal resistance $2\Omega$  is connected with another cell E₂ of emf 4V and internal resistance   $8\Omega$ (as shown in the figure). The potential difference across points X and Y is:

Area of the figure bounded by the curves y = |x − 1| and y = 3 - |x| is

Let f(x) be a polynomial function with negative coefficients and f(−x) = f(x) for all x. Then

Let f be differentiable on R and h(x) = f(x) − (f(x))² + (f(x))³ + 3x + 2 cos x, then

A teacher in his physics laboratory allotted an experiment ot determine the resistance (G) of a galvanometer. Students took the observations for $\frac{1}{3}$ $\frac{}{}$ deflection in the galvanometer. Which of the below is true for measuring value of G?

Given below are two statements:

Statements I : Two photons having equal linear momenta having equal waelengths

Statements II : If the wavelength of photon is decreases, then the momentum and energy of a photon will also decrease.

In the light of the above statements, choose the correct answer from the options given below.

Let f: (-1, 1) → R be a differentiable function with f(0) = 1 and f'(0) = -1. If g(x) = (f(nf(x) – n))^n, where n is a natural number and g'(0) = 4, then n equals

The difference of speed of light in the two media A and B $\left({\upsilon }_A-{\upsilon }_B\right)$ ${}_{}{}_{}$ is 2.6 * 107 m/s. If the refractive index of medium B is 1.47, then the ratio of refractive index of medium B to medium A is : (Given : speed of light in vacuum c = 3 * 108 ms-1)

A signal of 100 THz frequency can be transmitted with maximum efficiency by:

The photodiode is used to detect the optical signals. These diodes are preferably operated in reverse biased mode because: