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1.

Figure shows path of two projectiles A and B choose the correct options(s): Given `U_(x)`=Initial velocity along horizontal `U_(y)`=Initial velocity along y-axis. A. `(U_(x))_(A)gt(U_(x))_(B)`B. `((U_(y))/(U_(x)))_(A)lt((U_(y))/(U_(x)))_(B)`C. `(U_(y)U_(x))_(A)=(U_(y)U_(x))_(B)`D. `(U_(y))_(A)lt(U_(y))_(B)`

Answer» Correct Answer - A::B::C::D
Discussion
2.

If the speed of ball is 145 `km//h` and the perimeter of the ball is 22.4 cm along the seam and spin ratio of bumrah is 0.1 find angular speed approximately imparted to the ball:A. 1080 rpmB. 700 rpmC. 1800 rpmD. 532 rpm

Answer» Correct Answer - A
Discussion
3.

If r lt s lt p are in arithmetic progression, then both roots of the quadratic equation `(r+2s-3p)x^2+(s+2p-3r)x+(p+2r-3s)=0` areA. realB. positiveC. negativeD. rational

Answer» Correct Answer - A,B,D
Discussion
4.

Let `f(x)=Sigma_(i=1)^(n) (x-x_i)^2`, where `x_i` are real coefficients , then which of the following is/are incorrect ?A. f(x) attains its least value at `x=1/n underset(i=1)overset(n)Sigmax_i`B. f(x) attains its least value of `x=(x_1+2x_2+3x_3+.....+nx_n)/n`C. f(x) attains its least value of `x=n underset(i=1)overset(n)Sigmax_i`D. f(x) attains its least value at `x=underset(i=1)overset(n)Sigmax_i`

Answer» Correct Answer - B,C,D
Discussion
5.

If `A_(g)^(-)rarrA_(g)^(+2)+3e^(-), triangleH_(2)=550 kj//mol^(-1)` then EGE of A is `(in kj//mol^(-1))`A. -200B. -100C. -50D. -350

Answer» Correct Answer - C
Discussion
6.

Hydration energy of `A_(g)^(+2) "is" (in kJ//mol^(-1))`A. -250B. -150C. -100D. -50

Answer» Correct Answer - B
Discussion
7.

Calculate total charge present on 9.6 g of `SO_(1)^(-2)` ion?A. `1.927xx10^(4)C`B. `1.927xx1010^(-4)C`C. `1.204xx10^(4)C`D. `9.63xx10^(4)C`

Answer» Correct Answer - A
Discussion
8.

` sum_(k=0)^5(1)/(sin[(K+1)theta]sin[(K+2)theta])` can be equal toA. `(cot2theta-cot7theta)/(sin theta)`B. `(tan2theta-tan7theta)/(sin2theta)`C. a positive numberD. a negative number

Answer» Correct Answer - A::C::D
Discussion
9.

If `x_(1),x_(2) "are two solutions of" X^(lnx^(2) )=e^(18) "then product of" X_(1)X_(2)` can be equal toA. `(sec^(2)theta+co s ec^(2)theta)/(sec^(2)theta.c os ec^(2)theta)`,(wherever defined)B. `(cot^(2)18^(@)-cvos^(2)18^(@))/(cost^(2)18^(@)cot^(2)18^(@))`C. `sec 0+sec((pi)/(5))+sec((2pi)/(5))+sec((3pi)/(5))+sec((4pi)/(5))`D. `2log6^(3).3^(log6^(3))^(-1)`

Answer» Correct Answer - A::B::C::D
Discussion
10.

which of the following statement `is//are` correct?A. Maximum number pof atom present in same plane in `BrF_(5)` are 5B. In `O(SiH_(3))_(2) p_(n)-d_(n)` back bonding is present while in `BF_(3) P_(n) -P_(n)` back bonding is presentC. Pyroxene chain silicate and 5 memebered cyclic silicate both have 2 number of corner shared per tetrahedron.D. Number o flone pair on central atom of `ICI_(4)^(ominus)` is 2

Answer» Correct Answer - B::C::D
Discussion
11.

calculate number of moles of `HNO_(3)` in 126 amu of `HNO_(3)`?A. `(2)/(N_(A))`B. 2C. 1D. `(1)/(N_(A))`

Answer» Correct Answer - A
Discussion
12.

`f_n(x)=(underset(r=1)overset(n)Sigmasin(rx))/(underset(r=1)overset(n)Sigmacos(rx))` then Match List-I with List-II and select the correct answer using the code given below the list. A. P`to`1 , Q`to`4 , R`to`3 , S`to` 2B. P`to`2 , Q`to`4 , R`to`3 , S`to` 1C. P`to`4 , Q`to`1 , R`to`3 , S`to` 2D. P`to`2 , Q`to`1 , R`to`5 , S`to` 3

Answer» Correct Answer - D
Discussion
13.

Let `f(x)=(x^2-11x+18)/(x^2-7x+12)` Match List-I with List-II and select the correct answer using the code given below the list. A. P`to`5 , Q`to`1 , R`to`3 , S`to` 4B. P`to`5 , Q`to`4 , R`to`3 , S`to` 2C. P`to`2 , Q`to`4 , R`to`3 , S`to` 5D. P`to`4 , Q`to`5 , R`to`3 , S`to` 2

Answer» Correct Answer - B
Discussion
14.

Which of the following molecule `is//are` polar and non planar?A. `XeO_(3)F_(2)`B. `CH_(2)CI_(2)`C. `SnCI_(2)`D. `PCI_(2)F_(3)`

Answer» Correct Answer - B::D
Discussion
15.

Study the velocity-time graph pictured below and match each segment of the graph given in list-II with position-time graph given in list-I of this motion at that time. A. P`to`3, Q`to`2,4 , R`to`1 , S`to`6B. P`to`3, Q`to`5 , R`to`1,2 , S`to`4,6C. P`to`5, Q`to`2 , R`to`1 , S`to`2,4D. P`to`3, Q`to`5 , R`to`4,6 , S`to`4,6

Answer» Correct Answer - B
Discussion
16.

Which of the following `is//are` correct order of bond angle:A. `NH_(3)gtNF_(3)`B. `H_(2)OgtOCI_(2)gtOF_(2)`C. `I_(3)^(ominus)gtI_(3)^(opluse)`D. `Fhat(s)F"(axial)gtFhatSF(equitorial) in" SF_(4)`

Answer» Correct Answer - A::C::D
Discussion
17.

In the List-I some arrangement with ideal string & frictionless & light pulley are shown. In string CD tension may be written as `T=etamg`.Then match the List-II and List-I. A. P`to`1.5, Q`to`2,4 , R`to`5, S`to`3,5B. P`to`1, Q`to`2,4 , R`to`3,4, S`to`3,5C. P`to`1,4, Q`to`3,4 , R`to`4, S`to`3,4D. P`to`3,4, Q`to`1,4 , R`to`3,5, S`to`2,5

Answer» Correct Answer - A
Discussion
18.

Which of the following statement(s) `is//are` correctA. Mass of one ca atom is `6.64xx10^(-23) g`B. Volume of 18 g `H_(2)O` at 1 atm pressure and 273 K temperature is 22.4 LC. Number of oxygen atoms inD. `C_(4)H_(6)O_(2)` sample is 2, if this sample has 6 g atom hydrogen

Answer» Correct Answer - A
Discussion
19.

Which fo the following is heavier than 1 gm molecules oxygen?A. 12 gm of `O_(3)`B. 1 gm molecule `O_(3)`C. 4gm atom of hydrogenD. `6.02xx10^(24) "molecuel" CO_(2)`

Answer» Correct Answer - B::D
Discussion