Basic Mathematics for Physics — practice questions
82 curated practice questions from Basic Mathematics for Physics (Physics NEET, NTA Exams) — 12 hard, 24 medium, 46 easy. Every question includes the final answer free; step-by-step worked solutions with a free account.
- The daily profit P of an oil refinery is given by P=8 x-0.02 x^ 2 , where x is the number of barrel production per day…
- What will be the correct increasing order of 10^ , 70^ , 67 and 90 .
- Find the value of tan30°sin30°cot60°cosec30°.
- Find d y d x , if y= (x^ 3 -3 x^ 2 +5 ) (4 x^ 5 +x^ 2 -2 )
- If a quantity A= K x^ -2 where K is constant and another quantity A= d B d x then find the formula for B.
- If (1-i) x +(1+i) y =1-3 i then (x, y) is equal to
- If + = 2 and x= 1 2 , then find the value of .
- If f(x)= 2 3 x^ 2 - 5 9 x+ 19 23 , then find the value of f(z x)
- If y=x^ 3 +5 x^ - 1 2 -3 x^ -2 , then find the the value of d y d x .
- If B = 30°, then find the value of (1- B)(1+ B) (1- B)(1+ B) .
- A spherical black body with a radius of 12 cm radiates 450 watt power at 500 K . If the radius were halved and the…
- Which of the following is true? The derivative of x 2 - 2 at x = 20 is 38 The derivative of 98x at x = 1 is 99 The…
- Find the value of 60^ 60^ + 30^ .
- If _ 10 (x^ 2 -3 x+6 )=1 then find the value of x.
- Find the value of ( 4 +i 4 )^ 4
- Assertion : If the temperature of a star is doubled then the rate of loss of heat from it becomes 16 times. Reason …
- Two rods of same length and material transfer a given amount of heat in 12 seconds, when they are joined end to end…
- Find the value of 4 59^ 35 in 31^ .
- If loga = 7 and logb = 3 then find the value of 9 2 .
- If A= 12 13 , then find the value of 135 in A+5 A 5 A+12 cosec A .
- A black body is at a temperature of 5760 K . The energy of radiation emitted by the body at wavelength 250 nm is at…
- Find the value of _ 0 ^ ( 2 x- 2 x) d x
- If f(x)=x^ 2 -3 x+19 , then find the value of f(-2) .
- Find the most general value of θ satisfying the equation sinθ = -1
- Four identical rods of same material are joined end to end to form a square. If the temperature difference between the…
- A 1.0 g sample of substance A at 100 ° C is added to 100 mL of H 2 O at 25 ° C. Using separate 100 mL portions of H 2…
- If 26= 3 , then find the value of
- If x=5 t^ 2 -4 t and y=9 t^ 3 +7 t^ 2 , then find the value of d y d x
- Find the value of (1+ ^ 2 ) (1- ^ 2 )
- Two rods (one semi-circular and other straight) of same material and of same cross-sectional area are joined as shown…
- If = 1 2 , then find the value of 5 in 2 .
- If area of bolt is given by (3 t^ 2 +7 ) cm ^ 2 then find the rate of increase of area at t = 5 seconds.
- Find the coordinate of point which divides the joining of the points (2, 4) and (6, 8) internally in the ratio 5 : 3
- Assertion : A hollow metallic closed container maintained at a uniform temperature can act as a source of black body…
- If 2=0.30103 and 3=0.47712 . Find the value of 16 9 .
- The layers of atmosphere are heated through [AIIMS 1998; CPMT 2003; RPMT 2006]
- Assertion : The radiation from the sun’s surface varies as the fourth power of its absolute temperature. Reason : The…
- Find the second-order derivative of 2 x^ 3 -10 x^ 2 +15 x
- Given 5=t^ 2 +6 t+5 , find d 5 d t at t = 2
- Find the point of intersection of x+2 y=13 and 3 x-5 y=17
- If f and g are two real functions defined by f(x)=x^ 2 +11 and g(x)=5 x+3 , find the value of f(3) g(-2) .
- Find the value of 1- ^ 2 15^ 1+ ^ 2 15^
- If log 10 3 = 0.4771, then find number of digits in 3 37
- Assuming the Sun to be a spherical body of radius R at temperature of T K, evaluate the total radiant power incident on…
- If the equation of circle is x^ 2 +y^ 2 +8 x-10 y-8=0 , then The center is (-4, 6) The radius is 7
- If angles of a triangle are in the ratio 1 : 3 : 5 then find the largest angle is in radian.
- Find d y d x , when y=x^ 7 +x^ 6 +19
- What will be the value of 4 5 radian in degree?
- If z = a + ib and then real and imaginary part of z are
- If 1- 1+ = 3 , then find the value of .
- If roots of the quadratic equations of a x^ 2 +b x+c=0 are equal, then which of the following options is correct?
- A car travels 25 km an hour faster than a bus. For a journey of 500 km the bus takes 10 hours more than the car. Find…
- Let f and g be two real functions defined by f(x)=2 x+1 and g(x)=4 x-7 . For what real number x, f(x) = g(x)?
- Find the value of 42^ 48^ + 42^ 48^
- Calculate the area bounded by the curve y=x^ 2 +x+4 , the x-axis and the ordinate x = 1 and x = 3.
- If 47^ =A , then find the value of 43^ .
- If A= t t^ 2 +m^ 2 , then find the value of A .
- The area of a circle is given by A= r^ 2 , where r is the radius. Find the rate of increase of area w.r.t. radius at r…
- Find the slope of the line joining the points (7, 5) and (9, 11).
- If is an acute angle and 7+4 =9 , then find the value of .
- Expand (1 - x) -3 up to five terms if x < 1
- A cylindrical metallic rod in thermal contact with two reservoirs of heat at its two ends conducts an amount of heat Q…
- Find the value of 1 ^ 2 + 1 cosec ^ 2
- The power radiated by a black body is and it radiates maximum energy at wavelength . If the temperature of the black…
- A particle starting from the origin (0, 0) moves in a straight line in the plane. Its coordinates at a later time are …
- If =45^ , then find the value of 1- 4 .
- Find the value of ^ 2 A if A= 4 5 .
- For cooking the food, which of the following type of utensil is most suitable
- Find the value of _ 3 ( [4] 9 [3] 9 27)
- If x^ 2 y^ 3 =a and x y =b then find the equivalent of x y .
- Find the derivative of y=2 x- 3 4 x at x=2
- Calculate the value of _ 0 (3 x-x^ 2 ) d x
- If 2=0.3010 and 3=0.4771 then find the value of log ( 27 32 625 )
- Find the integration of (x^ 1 18 +x^ 5 5 ) d x
- Assertion : Temperatures near the sea coast are moderate. Reason : Water has a high thermal conductivity. [AIIMS 2003]
- If f(x)=x x , then find the value of f^ ( 2 ) .
- Find the value of _ 7 ( 1 49 )
- Find the integration of _ 0 ^ 4 (4 x-2 x^ 2 +3 ) d x
- If 2=0.30103 and 3=0.47712 , then find the value of 51 26 + 91 119
- Assertion : Blue star is at high temperature than red star. Reason : Wien’s displacement law states that T (1 / _ m ) …
- A cylindrical rod having temperature T 1 and T 2 at its ends. The rate of flow of heat is Q 1 cal/s . If all the linear…
- The equations of the circle with centre (-3, -2) and radius 4 is