the net electric flux through each face of a die (singular of dice) has a magnitude in units of `10^(3)N.m^(2)//C` that is exactly equal to the number of sport N on the face ( 1 through 6) the flux is inward for N odd outword for N even. What is the net charge inside the die ?
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Equation `1+x^2+2x"sin"(cos^(-1)y)=0` is satisfied by exactly one value of `x` exactly two value of `x` exactly one value of `y` exactly two value of
Correct Answer - A::C Given equation is `x^(2) + 2x sin(cos^(-1) y) + 1 =0` Since x is real, `D ge 0`. Therefore, `4(sin(cos^(-1)y))^(2) -4 ge 0` or `(sin(cos^(-1)y))^(2) ge 1`...
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Die A has 4 red and 2 white faces, whereas die B has 2 red and 4 white faces. A coins is flipped once. If it shows a head, the game continues by throw
Let R be the event that a red face appears in each of the first n throws. `E_(1):` Die A is used when head has already fallen `E_(2):` Die B...
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In a single throw of two dice what is the probability of obtaining a number greater , if 4 appears on the first dice?
Correct Answer - `1//2` Since 4 has appeared on the first, so we are required 4 or 5 or 6 on second dice: hence required probability is `3//6=1//2.`
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Two fair dice are rolled. Let `P(A_(i))gt0` donete the event that the sum of the faces of the dice is divisible by i. The number of all possible order
Correct Answer - D Note that `A_(1)` is independent with all events `A_(1),A_(2),A_(3),A_(4)....,A_(12),` Now, total number of ordered pairs is 23. `underset(22)( underbrace((1.1),(1,2),(1.3),...,(1,11)))+(1,12)` Also that `A_(2),A_(3),andA_(3),A_(2)` are independent. Hence, there are...
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If two loaded dice each have the property yjsy 2 or 4 is there times as likely to appears as `1,3,5,or6` on each roll. When two such dice are rolled,
Correct Answer - 7 Let the probaility of the faces `1,3,5` or 6 be p for each face. Hence, probability of each of the faces 2 or 4 is 3p Now...
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Let two fari six-faced dice A and B be thrown simltaneously. If `E_(1)` is the event that die A shows up four, `E_(2)` is the event that die B shows u
Correct Answer - C `E_(1):{(4,1),...,(4,6)}to6"cases"` `E_(2):{(1,2),...,(6,2)}to6"cases"` `E_(3):"18 cases (sum of both is odd")` `thereforeP(E_(1))=3/6=1/6=P(E_(2))` `P(E_(3))=18/36=1/2` `P(E_(1)nnE_(2))=1/36` `P(E_(2)nnE_(3))=3/36=1/12` Similarly `P(E_(3)nnE_(1))=1/12` `P(E_(1)nnE_(2)nnE_(3))=0` `therefore E_(1),E_(2),E_(3)` are not independent.
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A one eyed demon has a circular face of radius `a_(0) = 10 cm`. The eye is located at the centre of the face. At what distance from his face he must h
Correct Answer - 20 cm
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In a game of chance a player throws a pair of dice and scores points equal to the difference between the numbers on the two dice. Winner is the person
Correct Answer - C `(c )` Player `A` can win if `A` throws `(1,6)` or `(6,1)` and `B` throws `((1,1),(2,2),(3,3),(4,4),(5,5) or (6,6))`. Thus the number of ways is `12`. Similarly the...
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Peter throws two different dice together and finds the product of the two numbers obtained. Rina throws a die and squares the number obtained. Who has
Correct Answer - Rina
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In a single throw of two dice, find (i) P (an odd number on the first die and a 6 on the second) (ii) P (a number greater than 3 on each die) (iii) P
Correct Answer - `(i) 1/12 (ii) 1/4 (iii) 1/12 (iv) 5/18 (v) 1/6`
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