Home
Class 11
PHYSICS
is the greatest 2 digits perfect square....

______ is the greatest 2 digits perfect square.
a) 1
b) 4
c) 99
d) 81

Text Solution

Verified by Experts

The correct Answer is:
A, C, D

The tension in the pendulum is maximum at the mea position and minimum on th extreme postion.
`Here `1/2mv^2-0=mgl(1-costheta)`
`v^2=2gl(1-costheta)` ……….1
`-Now, T_(ma)=mg+2mg(1-costheta)`
`[T=mg+(mv^2/l)]`
`Again T_(min)=mgcostheta`
According to question
`T_(max)=2Tmin`
`rarr mg+2mg-2mgcostheta=2mgcostheta`
`rarr 3mg=4mgcostheta`
`costheta=3/4`
`rarr thetas=cos^-1 3/4`
Promotional Banner

Similar Questions

Explore conceptually related problems

Which one of the following denotes the greatest positive proper fraction? a. (1/4)^((log)_2 6) b. (1/3)^((log)_3 5) c. 3^((log)_3 2) d. 8^((1/((log)_3 2)))

The sides of a triangle are in AP. If the angles A and C are the greatest and smallest angle respectively, then 4 (1- cos A) (1-cos C) is equal to

f(x)= cosec^(-1)[1+sin^(2)x] , where [*] denotes the greatest integer function.Then f(x) equal to (a){ π/2 ​ ,cosec^ (−1) 2}(b) π/2 (c)cosec^(-1) 2 (d)none of these

Statement 1 If one root of Ax^(3)+Bx^(2)+Cx+D=0 A!=0 , is the arithmetic mean of the other two roots, then the relation 2B^(3)+k_(1)ABC+k_(2)A^(2)D=0 holds good and then (k_(2)-k_(1)) is a perfect square. Statement -2 If a,b,c are in AP then b is the arithmetic mean of a and c.

Given that N= {1, 2, 3, 4,……….., 100}. Then, write The subset of N whose elements are perfect square numbers.

An unbiased die with faced marked 1, 2, 3, 4, 5, and 6 is rolled four times. Out of four face value obtained, the probability that the minimum face value is not less than 2 and the maximum face value is not greater than five is then 16//81 b. 1//81 c. 80//81 d. 65//81

Fig. shown a uniform square plate from identical squares at the corners can be removed. (a) Where is the centre of mass of the plate originally ? (b) Where is it after square 1 is removed ? (c ) where is it after squares 1 and 2 are removed ? (d) Where is c.m after squares 1, 2, 3, are removed ? (f) Where is c.m after all the four squares are removed ? Answer in terms of quadrants and axes.

Show that the following points are the vertices of a rectangle. (i) A(-4, -1), B(-2, -4), C(4, 0) and D(2, 3) (ii) A(2, -2), B(14, 10), C(11, 13) and D(-1, 1) (iii) A(0, -4), B(6, 2), C(3, 5) and D(-3, -1)

The number of points where f(x) = [sin x + cosx] (where [.] denotes the greatest integer function) x in (0,2pi) is not continuous is (A) 3 (B) 4 (C) 5 (D) 6

Show that If a(b-c) x^2 + b(c-a) xy + c(a-b) y^2 = 0 is a perfect square, then the quantities a, b, c are in harmonic progression