1
JEE Advanced 2021 Paper 2 Online
Numerical
+4
-0
Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s$$-$$1) of He atom after the photon absorption is __________.

(Assume : Momentum is conserved when photon is absorbed.

Use : Planck constant = 6.6 $$\times$$ 10$$-$$34 J s, Avogadro number = 6 $$\times$$ 1023 mol$$-$$1, Molar mass of He = 4 g mol$$-$$1)
2
JEE Advanced 2021 Paper 2 Online
Numerical
+4
-0
Ozonolysis of ClO2 produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is __________.
3
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Let

$${S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}$$,

$${S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 10,i,j \in \{ 1,2,...,10\} } \right\}$$,

$${S_3} = \left\{ {(i,j,k,l):1 \le i < j < k < l,i,j,k,l \in \{ 1,2,...,10\} } \right\}$$ and

$${S_4} = \{ (i,j,k,l):i,j,k$$ and $$l$$ are distinct elements in {1, 2, ...., 10}.

If the total number of elements in the set Sr is nr, r = 1, 2, 3, 4, then which of the following statements is(are) TRUE?
A
n1 = 1000
B
n2 = 44
C
n3 = 220
D
$${{{n_4}} \over {12}} = 420$$
4
JEE Advanced 2021 Paper 2 Online
MCQ (More than One Correct Answer)
+4
-2
Consider a triangle PQR having sides of lengths p, q and r opposite to the angles P, Q and R, respectively. Then which of the following statements is (are) TRUE?
A
$$\cos P \ge 1 - {{{p^2}} \over {2qr}}$$
B
$$\cos R \ge \left( {{{q - r} \over {p + q}}} \right)\cos P + \left( {{{p - r} \over {p + q}}} \right)\cos Q$$
C
$${{q + r} \over p} < 2{{\sqrt {\sin q\sin R} } \over {\sin P}}$$
D
If p < q and p < r, then $$\cos Q > {p \over r}$$ and $$\cos R > {p \over q}$$
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