JEE MAIN 2022 ONLINE 30TH JUNE MORNING SHIFT

TLC analysis of a mixture having 3 components (A, B, C) using silica gel as the stationary phase gave following R_f values; for A = 0.72, B = 0.48, C = 0.20.

Regarding the above observations, which one of the following statements is not correct for column chromatography of the mixture?

A speech signal given by 11 sin(2200 \(\pi\)t) V is used for amplitude modulation with a carrier signal given by 44 sin(6600 \(\pi\)t) V. The minimum amplitude of modulated wave will be :

Let a vector \(\overrightarrow c\) be coplanar with the vectors \(\overrightarrow a = - \widehat i + \widehat j + \widehat k\) and \(\overrightarrow b = 2\widehat i + \widehat j - \widehat k\). If the vector \(\overrightarrow c\) also satisfies the conditions \(\overrightarrow c \,.\,\left[ {\left( {\overrightarrow a + \overrightarrow b } \right) \times \left( {\overrightarrow a \times \overrightarrow b } \right)} \right] = - 42\) and \(\left( {\overrightarrow c \times \left( {\overrightarrow a - \overrightarrow b } \right)} \right)\,.\,\widehat k = 3\), then the value of \(|\overrightarrow c {|^2}\) is equal to :

An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm^\(-\)3. The number of atoms present in 300 g of the element X is _______________.

Given : Avogadro constant, N_A = 6.0 \(\times\) 10²³ mol^\(-\)1.

A cyclotron is working at a frequency of 10 MHz. If the radius of its dees is 60 cm. The maximum kinetic energy of accelerated proton will be :

(Take : e = 1.6 \(\times\) 10^\(-\)19 C, m_p = 1.67 \(\times\) 10^\(-\)27 kg)

Let A and B be two square matrices of order 2. If \(det\,(A) = 2\), \(det\,(B) = 3\) and \(\det \left( {(\det \,5(det\,A)B){A^2}} \right) = {2^a}{3^b}{5^c}\) for some a, b, c, \(\in\) N, then a + b + c is equal to :