JEE MAIN 2022 ONLINE 26TH JULY MORNING SHIFT

The disintegration rate of a certain radioactive sample at any instant is 4250 disintegrations per minute. 10 minutes later, the rate becomes 2250 disintegrations per minute. The approximate decay constant is :

\(\left(\right.\)Take \(\left.\log _{10} 1.88=0.274\right)\)

Borazine, also known as inorganic benzene, can be prepared by the reaction of 3-equivalents of "\(X\)" with 6-equivalents of "\(Y\)". "\(X\)" and "\(Y\)", respectively are :

Let \(S=\left\{\theta \in[0,2 \pi]: 8^{2 \sin ^{2} \theta}+8^{2 \cos ^{2} \theta}=16\right\} .\) Then \(n(s) + \sum\limits_{\theta \in S}^{} {\left( {\sec \left( {{\pi \over 4} + 2\theta } \right)\cos ec\left( {{\pi \over 4} + 2\theta } \right)} \right)}\) is equal to:

A radio can tune to any station in \(6 \,\mathrm{MHz}\) to \(10 \,\mathrm{MHz}\) band. The value of corresponding wavelength bandwidth will be :

Stearic acid and polyethylene glycol react to form which one of the following soap/s detergents ?

Let the tangent drawn to the parabola \(y^{2}=24 x\) at the point \((\alpha, \beta)\) is perpendicular to the line \(2 x+2 y=5\). Then the normal to the hyperbola \(\frac{x^{2}}{\alpha^{2}}-\frac{y^{2}}{\beta^{2}}=1\) at the point \((\alpha+4, \beta+4)\) does NOT pass through the point :